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Question 1 of 20 5.0 Points

The __________ test is useful for before/after experiments.

A. goodness-of-fit

B. sign

C. median

D. chi-square

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Question 2 of 20 5.0 Points

The __________ test is useful for drawing conclusions about data using nominal level of measurement.

A. goodness-of-fit

B. sign

C. median

D. chi-square

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Question 3 of 20 5.0 Points

In an experiment, a sample size of 10 is drawn, and a hypothesis test is set up to determine: H0 : p = 0.50; H1:p < or = 0.50; for a significance level of .10, the decision rule is as follows:

A. Reject H0 if the number of successes is 2 or less.

B. Reject H0 if the number of successes is 8 or more.

C. Reject H0 if the number of successes is three or less.

D. Reject H0 if the number of successes is less than 2 or more than 8.

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Question 4 of 20 5.0 Points

For a “before and after” test, 16 of a sample of 25 people improved their scores on a test after receiving computer-based instruction. For H0 : p = 0.50; H1:p is not equal to 0.50; and a significance level of .05:

A. z = 1.2, fail to reject the null hypothesis.

B. z = 1.4, reject the null hypothesis.

C. z = 1.4, fail to reject the null hypothesis.

D. z = 1.64, reject the null hypothesis.

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Question 5 of 20 5.0 Points

A sample group was surveyed to determine which of two brands of soap was preferred. H0 :p = 0.50; H1: p is not equal to 0.50. Thirty-eight of 60 people indicated a preference. At the .05 level of significance, we can conclude that:

A. z = 0.75, fail to reject H0.

B. z = 1.94, fail to reject H0.

C. z = 1.94, reject H0.

D. z = 2.19, reject H0.

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Question 6 of 20 5.0 Points

The performance of students on a test resulted in a mean score of 25. A new test is instituted and the instructor believes the mean score is now lower. A random sample of 64 students resulted in 40 scores below 25. At a significance level of α = .05:

A. H0 : p = 0.50; H1:p [removed] 0.50.

C. H0 : p = 25; H1:p > 25.

D. H0 : p = 25; H1:p < 25.

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Question 7 of 20 5.0 Points

From the information presented in question #6:

A. z = 3.75, we can reject the null hypothesis.

B. z = 1.875, we fail to reject the null hypothesis.

C. z = -1.625, we fail to reject the null hypothesis.

D. z = -1.875, we can reject the null hypothesis.

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Question 8 of 20 5.0 Points

A golf club manufacturer claims that the median length of a drive using its driver is 250 yards. A consumer group disputes the claim, indicating that the median will be considerably less. A sample of 500 drives is measured; of these 220 were above 250 yards, and none was exactly 250 yards. The null and alternate hypotheses are:

A. Ho: 0 = 250; H1: 0 [removed] 250.

C. Ho: 0 > 250; H1: 0 < 250.

D. Ho: median = 250; H1: median < 250.

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Question 9 of 20 5.0 Points

From the information presented in question #8, using a level of significance = .05:

A. z = -1.74; we should fail to reject the null hypothesis.

B. z = 2.64; we should fail to reject the null hypothesis.

C. z = -2.72; we should fail to reject the null hypothesis.

D. z = -3.17; we should reject the null hypothesis.

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Question 10 of 20 5.0 Points

The Wilcoxon rank-sum test:

A. is a nonparametric test for which the assumption of normality is not required.

B. is used to determine if two independent samples came from equal populations.

C. requires that the two populations under consideration have equal variances.

D. Both A and B

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Question 11 of 20 5.0 Points

A nonparametric test which can evaluate ordinal-scale data of a non-normal population is called the:

A. Wilcoxon signed rank test.

B. Kruskal-Wallis test.

C. sign test.

D. median test.

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Question 12 of 20 5.0 Points

A researcher wishes to test the differences between pairs of observations with a non-normal distribution. She should apply the:

A. Wilcoxon signed rank test.

B. Kruskal-Wallis test.

C. Wilcoxon rank-sum test.

D. t test.

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Question 13 of 20 5.0 Points

The data below indicate the rankings of a set of employees according to class theory and on-the-job practice evaluations:

Theory 1 7 2 10 4 8 5 3 6 9

Practice 2 8 1 7 3 9 6 5 4 10

What is the Spearman correlation of coefficient for the data?

A. -0.0606

B. 0.1454

C. 0.606

D. 0.8545

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Question 14 of 20 5.0 Points

For the value of rs determined, a test of significance indicates that:

A. t = -0.45, a weak negative relationship between the two variables.

B. t = – 0.06, a strong negative relationship between the variables.

C. t = 0.45, a weak positive relationship between the two variables.

D. t = 4.65, a strong positive relationship between the variables.

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Question 15 of 20 5.0 Points

To determine whether four populations are equal, a sample from each population was selected at random and using the Kruskal-Wallis test, H was computed to be 2.09. What is our decision at the 0.05 level of risk?

A. Fail to reject the null hypothesis because 0.05 < 2.09

B. Fail to reject the null hypothesis because 2.09 [removed] 2.09

D. Reject the null hypothesis because 2.09 > critical value of 1.96

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Question 16 of 20 5.0 Points

A soap manufacturer is experimenting with several formulas of soap powder and three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows:

A 35 36 44 42 37 40

B 43 44 42 32 39 41

C 46 47 40 36 45 49

What is the value of chi-square at the 5% level of significance?

A. 6.009

B. 6

C. 5.991

D. 5

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Question 17 of 20 5.0 Points

Which of the following values of Spearman’s coefficient of rank correlation indicates the strongest relationship between two variables?

A. –0.91

B. –0.05

C. +0.64

D. +0.89

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Question 18 of 20 5.0 Points

Suppose ranks are assigned to a set of data from low to high with $10 being ranked 1, $12 being ranked 2, and $21 being ranked 3. What ranks would be assigned to $26, $26 and $26?

A. 4, 5, 6

B. 4, 4, 4

C. 5, 5, 5

D. 5.5, 5.5, 5.5

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Question 19 of 20 5.0 Points

Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows:

Movie A B C D E F G H I J

S’s Rating 4 2 3.5 1 0 3 2.5 4 2 0

T’s Rating 3 3 3 2.5 1.5 3.5 4 3 2 1

What is the rank order correlation?

A. 48

B. 0.7091

C. 2.306

D. 2.844

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Question 20 of 20 5.0 Points

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

A. Populations must be normal or near normal

B. Samples must be independent

C. Population standard deviations must be equal

D. Data must be at least interval level

Question 1 of 20 5.0 Points

The quality management points of Deming:

A. emphasized that quality originates from improving the process, not from inspection.

B. identified production quotas and merit systems as crucial to quality improvement.

C. identify education and training for both workers and managers as crucial to process improvement.

D. Both A and C

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Question 2 of 20 5.0 Points

An error in a training tape results in machine operators overadjusting a tooling machine on a regular basis. The resultant unacceptable output is an example of:

A. chance variation.

B. assignable variation.

C. variable out of control.

D. attribute out of control.

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Question 3 of 20 5.0 Points

A Pareto chart:

A. employs the 80-20 rule to rank defects in the order that they should be addressed.

B. tallies the number and type of defects that happen within a product or service.

C. is a tool that helps to organize ideas and identify relationships.

D. Both A and B

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Question 4 of 20 5.0 Points

A(n) __________ chart is based on actual measurements.

A. Pareto

B. cause-and-effect

C. variable control

D. attribute

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Question 5 of 20 5.0 Points

Answer questions 5 – 7 using the following information:

Samples of size 5 are drawn from 10 separate production runs to measure data on a product average:

Sample

Run 1 2 3 4 5

1 59 74 53 48 65

2 42 51 70 47 67

3 52 42 53 87 85

4 35 70 62 44 79

5 34 59 39 78 61

6 66 80 54 68 52

7 74 43 45 65 49

8 75 53 68 50 31

9 48 65 70 41 52

10 43 38 10 19 47

This data will be mapped using a(n):

A. attribute control chart.

B. range chart

C. mean chart.

D. percent defective chart.

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Question 6 of 20 5.0 Points

The lower control limit for the chart is:

A. 19.64.

B. 34.66.

C. 50.08.

D. 54.56.

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Question 7 of 20 5.0 Points

A range chart for the data will have upper and lower limits of:

A. 20.48; 0.00.

B. 50.52; 20.48.

C. 75.08; 0.00.

D. 75.08; -20.04.

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Question 8 of 20 5.0 Points

The upper and lower control limits are usually set at:

A. the mean.

B. above the mean.

C. ±3 standard deviations from the mean.

D. ±2 standard deviations from the mean.

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Question 9 of 20 5.0 Points

Answer questions 9 – 10 using the following information:

20 samples of fifty pipe rivets each were drawn from a production line. The number of defective items per sample was:

1, 2, 5, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 5, 0, 0, 6, 3, 1

For this data set, p=

A. 0.0128.

B. 0.02.

C. 0.031.

D. 0.032.

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Question 10 of 20 5.0 Points

The upper and lower control limits, respectively, are:

A. 0.1045 and -0.0425.

B. 0.1045 and 0.00.

C. 0.0735 and 0.02.

D. 0.1067 and 0.00.

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Question 11 of 20 5.0 Points

A chart which illustrates weak areas in a construction process is termed a(n):

A. mean chart.

B. range chart

C. percent defective chart.

D. c-bar chart.

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Question 12 of 20 5.0 Points

If the item recorded is a fraction of unacceptable parts made in a batch of larger parts, the appropriate control chart is the:

A. mean chart.

B. range chart

C. percent defective chart.

D. c-bar chart.

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Question 13 of 20 5.0 Points

Acceptance sampling:

A. is often employed because 100% inspection is rarely feasible.

B. screens out lots of incoming products that are unacceptable.

C. will accept an incoming lot if n > c.

D. Both A and B

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Question 14 of 20 5.0 Points

An inspector determines that 0.05% of a lot of 400 items are defective. The actual number of defective items is 6. The critical number is 4. This is an example of:

A. faulty sampling.

B. a type II error.

C. producer’s risk.

D. consumer’s risk.

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Question 15 of 20 5.0 Points

The probability that a firm accepts a lot which is 20% defective using a sample size of 14 and an acceptance number of 3 is:

A. 0.044.

B. 0.956.

C. 0.842.

D. 0.698.

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Question 16 of 20 5.0 Points

What is the process by which a company can insure that a quality product or service is being produced?

A. SPC

B. Pareto

C. Fishbone

D. Diagnostic chart

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Question 17 of 20 5.0 Points

The technique that tallies numbers and types of defects is called:

A. range charts.

B. Pareto charts.

C. control charts.

D. fishbone diagram.

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Question 18 of 20 5.0 Points

The cause-and-effect chart is an example of:

A. range charts.

B. Pareto charts.

C. control charts.

D. fishbone diagrams.

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Question 19 of 20 5.0 Points

A sampling plan states that if 20 incoming transistors are checked and 2 or less defects are found that the lot is accepted. If an incoming lot is 10 percent defective, what is the probability of accepting the lot of transistors?

A. 0

B. 1

C. 0.037

D. 0.667

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Question 20 of 20 5.0 Points

Cappelli Inc. designs and manufactures women’s apparel using material from various mills. Their acceptance sampling plan states that 20 two-inch squares of the incoming material must be carefully checked. If 3 or less squares reveal imperfections, the lot is accepted. What is the probability that an incoming lot from Blufton Mills that contains 40 percent imperfect cloth will be accepted?

A. 0

B. 0.239

C. 0.015

D. 0.0024

Question 1 of 20 5.0 Points

A firm has sales in consecutive years as follows:

Year Sales

1 $500,000

2 $400,000

3 $450,000

4 $600,000

5 $580,000

Using year 1 as a base year, which of the following statements is true?

A. The index number for year #3 is 90.

B. The index number for year #4 is 133.33.

C. Year #2 sales are 80% of the base year level.

D. Both A and C

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Question 2 of 20 5.0 Points

The index that measures price changes in domestic output for a number of industries is called:

A. the consumer price index.

B. the industrial production index.

C. the producer price index.

D. an economic index.

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Question 3 of 20 5.0 Points

Use the following information, and 2000 as a base year, to answer questions 3-5.

Price Per Unit Quantity

Item 2000 2001 2000 2001

A 1.00 1.10 2 4

B 5.50 6.00 2 3

An unweighted, unaggregated price index would give a value of:

A. 91.

B. 100.

C. 109.

D. 119.

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Question 4 of 20 5.0 Points

A Laspeyres price index would give a value of:

A. 69.3.

B. 101.4.

C. 109.2.

D. 169.3.

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Question 5 of 20 5.0 Points

A Paasche price index yields a value of:

A. 89.2.

B. 109.2.

C. 119.6.

D. 172.3.

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Question 6 of 20 5.0 Points

The Paasche index is a weighted aggregate price index that uses weights based on:

A. base period quantities.

B. the ratio of base period quantities to current period quantities.

C. current period quantities.

D. the ratio of base period prices to current period prices.

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Question 7 of 20 5.0 Points

Answer questions 7-11 based on the following information:

The following data was gathered for domestic consumption (C, in millions of tons) and price per unit (P) of basic foodstuffs (base year is 2001):

2001 2002 2003

Type P C P C P C

Wheat 2 10 3 11 5 14

Barley 3 7 2 10 3 12

Corn 1 12 1 13 2 14

The Laspeyres price index for 2002 is:

A. 105.66.

B. 124.53.

C. 179.24.

D. 253.83.

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Question 8 of 20 5.0 Points

The Laspeyres price index for 2003 is:

A. 105.66.

B. 120.00.

C. 141.17.

D. 179.24.

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Question 9 of 20 5.0 Points

The Paasche price index for 2002 is:

A. 101.54.

B. 116.07.

C. 120.00.

D. 124.53.

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Question 10 of 20 5.0 Points

The Paasche price index for 2003 is:

A. 141.05.

B. 171.79.

C. 179.24.

D. 252.83.

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Question 11 of 20 5.0 Points

A value index for the information would be:

A. 147.17.

B. 174.26.

C. 179.4.

D. 252.83.

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Question 12 of 20 5.0 Points

The consumer price index:

A. may be used to determine real disposable personal income levels.

B. is an indicator of the rate of inflation in the economy.

C. illustrates the extent to which purchasing power has been eroded since the base year.

D. All of the above

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Question 13 of 20 5.0 Points

GNP in country X for 2002 is $800 billion. If the consumer price index is currently 125, real GNP, in billions, for 2002 was:

A. $675.

B. $640.

C. $925.

D. $1,000.

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Question 14 of 20 5.0 Points

The GNP in country Y in 2002 was $340 billion; if real GNP was 425, the price deflator for 2002 is:

A. 42.5.

B. 80.

C. 100.

D. 125.

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Question 15 of 20 5.0 Points

If the average hourly earnings in mining in 1978 was $7.67 and for the most recent month was $14.90, what is the index of hourly earnings for the most recent month based on 1978?

A. 100.0

B. 186.9

C. 151.5

D. 194.3

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Question 16 of 20 5.0 Points

The Bureau of the Census reported that the farm population dropped from 30.5 million in 1940 to 6.5 million in 1999. What is the index for 1999 based on 1940?

A. 469.7

B. 100.0

C. 21.3

D. 78.7

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Question 17 of 20 5.0 Points

The number of items produced and the price per item for the Duffy Manufacturing Company are:

Price Production

1990 2000 1990 2000

Shear pins (box) $3 $4 10,000 9,000

Cutting compound (lb.) $1 $5 600 200

Tie rods (each) $10 $8 3,000 5,000

What is the value index of production for 2000 using 1990 as the base period?

A. 115.2

B. 72.9

C. 110.6

D. 127.1

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Question 18 of 20 5.0 Points

An index number is a percent that measures the change from one period of time to another in terms of:

A. value

B. price

C. quantity

D. all of the above

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Question 19 of 20 5.0 Points

Which index is computed using base year prices and quantities and current year prices and quantities together?

A. Laspeyers

B. Paasche

C. Value

D. Consumer Price

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Question 20 of 20 5.0 Points

The Consumer Price Index in June 1998 was 248.4 (1982-84 = 100). What does this indicate about prices from 1982-84 to June 1998?

A. Rose 248.4%

B. Rose 548.4%

C. Rose 148.4%

D. Declined 148.4%

ASSIGNMENT 01

MA270 Statistical Analysis II

Directions: Sources must be cited in APA format. Your response should be a minimum of (1) single-spaced page to a maximum of (2) pages in length; refer to the “Assignment Format” page for specific format requirements.

1. Briefly advise each of the following two (2) people on specific research studies that he or she might find useful. For each person, propose a reporting, descriptive, explanatory, and predictive study.

a. Manager of a full-service restaurant with high employee turnover (the management decision problem is known)

b. Director of Big Brothers/Big Sisters in charge of sponsor recruiting (the management decision problem has not yet been specified)

2. Distinguish between the items in the following sets and describe the significance of each in a research context:

a. Concept and construct

b. Deduction and induction

c. Concept and variable

d. Hypothesis and proposition

e. Theory and model

ASSIGNMENT 08

MA270 Statistical Analysis II

Directions: Sources must be cited in APA format. Your response should be a minimum of (1) single-spaced page to a maximum of (2) pages in length; refer to the “Assignment Format” page for specific format requirements.

1. The quarterly production of pine lumber, in millions of board feet, by Northwest Lumber since 1996 is shown in the following table:

Quarter

Year Winter Spring Summer Fall

1996 7.8 10.2 14.7 9.3

1997 6.9 11.6 17.5 9.3

1998 8.9 9.7 15.3 10.1

1999 10.7 12.4 16.8 10.7

2000 9.2 13.6 17.1 10.3

a. Determine the typical seasonal pattern for the production data using the ratio-to-moving average method.

b. Interpret the pattern.

c. Deseasonalize the data and determine the linear trend equation.

d. Project the seasonally adjusted production for the four quarters of 2001.

2. Sales of roof material, by quarter, since 1994 for Carolina Home Construction, Inc. are shown below (in $000):

Quarter

Year I II III IV

1994 210 180 60 246

1995 214 216 82 230

1996 246 228 91 280

1997 258 250 113 298

1998 279 267 116 304

1999 302 290 114 310

2000 321 291 120 320

a. Determine the typical seasonal patterns for sales using the ratio-to-moving average method.

b. Deseasonalize the data and determine the trend equation.

c. Project the sales for 2001, and then seasonally adjust each quarter.

3. The following is the number of retirees receiving benefits from the State Teachers Retirement System of Ohio from 1991 until 2000:

Year Service Year Service Year Service

1991 58,436 1995 67,989 1999 78,341

1992 59,994 1996 70,448 2000 81,111

1993 61,515 1997 72,601

1994 63,182 1998 75,482

a. Determine the least squares trend equation. Use a linear equation.

b. Estimate the number of retirees that will be receiving benefits in 2003. Does this seem like a reasonable estimate based on the historical data?

c. By how much has the number of retirees increased or decreased (per year) on average during the period?

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