Instruction 10-4 To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. \[\begin{array} { c c c } \text { Student } & \begin{array} { c } \text { Exam Score } \\ \text { Before Course } \end{array} & \begin{array} { c } \text { Exam Score } \\ \text { After Course (2) } \end{array} \\ & ( 1 ) & \\ 1 & 530 & 670 \\ 2 & 650 & 770 \\ 3 & 910 & 1,000 \\ 4 & 700 & 710 \\ 5 & 450 & 550 \\ 6 & 820 & 870 \\ 7 & 820 & 770 \\ 8 & 630 & 610 \end{array}\] -Referring to Instruction 10-4,the number of degrees of freedom is

A) 7. B) 14. C) 8. D) 13. A) 7. B) 14. C) 8. D) 13.

Instruction 10-12 A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let πS1U1B11S1U1B0 and πS1U1B12S1U1B0 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. -Referring to Instruction 10-12,the company tests to determine at the 0.05 level whether the population proportion has changed from the previous study.Which of the following is most correct?

A) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years. B) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years. C) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years. D) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years. A) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years. B) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years. C) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years. D) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.

Instruction 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. $\begin{array}{|l|r|} \hline \text { Hypothesised Difference } & 0 \\ \hline \text {Level of Significance } & 0.05 \\ \hline \text { Population 1 Sample } &\\ \hline \text { Sample Size } & 18 \\ \hline \text { Sample Mean } & 48266.7 \\ \hline \text { Sample Standard Deviation } & 13577.63 \\ \hline \text { Population 2 Sample } &\\ \hline \text { Sample Size } & 12 \\ \hline \text { Sample Mean } & 55000 \\ \hline \text { Sample StandardDeviation } & 11741.29 \\ \hline \text { Differencein Sample Means } & -6733.3 \\ \hline t \text {-Test Statistic } & -1.40193\\ \hline \text {Lower-Tail Test } & \\ \hline \text {Lower Critical Value }& -1.70113 \\ \hline \text {p-Value }& 0.085962\\ \hline \end{array}$ -Referring to Instruction 10-2,the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.According to the test run,which of the following is an appropriate alternative hypothesis?

A) S1U1B0S1U1B1 S1U1B0HS1U1B11S1U1B0: $\mu$S1U1B1femalesS1U1B0 = $\mu$S1U1B1malesS1U1B0 B) S1U1B0S1U1B1 S1U1B0HS1U1B11S1U1B0: $\mu$S1U1B1femalesS1U1B0 > $\mu$S1U1B1malesS1U1B0 C) S1U1B0S1U1B1 S1U1B0HS1U1B11S1U1B0: $\mu$S1U1B1femalesS1U1B0 $\mu$S1U1B1malesS1U1B0 C) S1U1B0S1U1B1 S1U1B0HS1U1B11S1U1B0: $\mu$S1U1B1femalesS1U1B0 < $\mu$S1U1B1malesS1U1B0 D) S1U1B0S1U1B1 S1U1B0HS1U1B11S1U1B0: $\mu$S1U1B1femalesS1U1B0$\neq$ $\mu$S1U1B1malesS1U1B0

Instruction 10-4 To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. \[\begin{array} { c c c } \text { Student } & \begin{array} { c } \text { Exam Score } \\ \text { Before Course } \end{array} & \begin{array} { c } \text { Exam Score } \\ \text { After Course (2) } \end{array} \\ & ( 1 ) & \\ 1 & 530 & 670 \\ 2 & 650 & 770 \\ 3 & 910 & 1,000 \\ 4 & 700 & 710 \\ 5 & 450 & 550 \\ 6 & 820 & 870 \\ 7 & 820 & 770 \\ 8 & 630 & 610 \end{array}\] -Referring to Instruction 10-4,the calculated value of the test statistic is __________.

The answer of Instruction 10-4 To test the effectiveness of a...

Exam 10: Hypothesis Testing: Two-Sample Tests

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.A group of 50 men (group 1)and 40 women (group 2)were asked if they thought sexual discrimination is a problem in Australia.Of those sampled,11 of the men and 19 of the women did believe that sexual discrimination is a problem.Construct a 99% confidence interval estimate of the difference between the proportion of men and women who believe that sexual discrimination is a problem.

(Short Answer)

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Question 81

Instruction 10-10 The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting students and 52 economics students had job offers. If the accounting students are designated as "Group 1" and the economics students are designated as "Group 2", perform the appropriate hypothesis test using a level of significance of 0.05. -Referring to Instruction 10-13,the p-value of the test is _______.

(Short Answer)

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Question 82

Instruction 10-4 To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. Student Exam Score Before Course Exam Score After Course (2) (1) 1 530 670 2 650 770 3 910 1,000 4 700 710 5 450 550 6 820 870 7 820 770 8 630 610 -Referring to Instruction 10-4,the number of degrees of freedom is

(Multiple Choice)

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Question 83

If we wish to determine whether there is evidence that the proportion of successes is higher in group 1 than in group 2,the appropriate test to use is

(Multiple Choice)

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Question 84

Instruction 10-7 To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up 4 weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 kilograms with the standard deviation of differences computed as 6.0 kilograms. -Referring to Instruction 10-8,the null hypothesis should be rejected.

(True/False)

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Question 85

Instruction 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: $\quad \bar { X } _ { G } = 35$ months, $S _ { G } { } ^ { 2 } = 900$ Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$ -Referring to Instruction 10-3,suppose $\alpha$ = 0.10.Which of the following represents the correct conclusion?

(Multiple Choice)

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Question 86

Instruction 10-11 The following Micosoft Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. -Referring to Instruction 10-11,allowing for 1% probability of committing a Type I error,what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied guests in the two resorts?

(Multiple Choice)

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Question 87

Instruction 10-12 A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. -Referring to Instruction 10-12,the company tests to determine at the 0.05 level whether the population proportion has changed from the previous study.Which of the following is most correct?

(Multiple Choice)

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Question 88

Instruction 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: $\quad \bar { X } _ { G } = 35$ months, $S _ { G } { } ^ { 2 } = 900$ Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$ -Referring to Instruction 10-3,what is the standardised value of the estimate of the mean of the sampling distribution of the difference between sample means?

(Multiple Choice)

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Question 89

Instruction 10-11 The following Micosoft Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. -Referring to Instruction 10-11,if you want to test the claim that "Resort 1 (Group 1)has a higher proportion of satisfied guests compared to Resort 2 (Group 2)",the p-value of the test will be

(Multiple Choice)

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Question 90

The Sydney Morning Herald recently published an article indicating differences in perception of sexual harassment on the job between men and women.The article claimed that women perceived the problem to be much more prevalent than did men.One question asked to both men and women was: "Do you think sexual harassment is a major problem in the Australian workplace?" 24% of the men compared to 62% of the women responded "Yes". -Suppose that 150 women and 200 men were interviewed.For a 0.01 level of significance,what is the critical value for the rejection region?

(Multiple Choice)

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Question 91

Instruction 10-11 The following Micosoft Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. -Referring to Instruction 10-11,construct a 99% confidence interval estimate of the difference in the population proportion of satisfied guests between the two resorts.

(Short Answer)

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Question 92

Repeated measurements from the same individuals are an example of data collected from two related populations.

(True/False)

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Question 93

Instruction 10-14 A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method. He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective. If Kohler is designated as "Group 1" and Russell is designated as "Group 2", perform the appropriate test at a level of significance of 0.01. -Referring to Instruction 10-14,construct a 90% confidence interval estimate of the difference in proportion between the Kohler and Russell disks that are defective.

(Short Answer)

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Question 94

Instruction 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. Hypothesised Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 18 Sample Mean 48266.7 Sample Standard Deviation 13577.63 Population 2 Sample Sample Size 12 Sample Mean 55000 Sample StandardDeviation 11741.29 Differencein Sample Means -6733.3 t -Test Statistic -1.40193 Lower-Tail Test Lower Critical Value -1.70113 p-Value 0.085962 -Referring to Instruction 10-2,the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.According to the test run,which of the following is an appropriate alternative hypothesis?

(Multiple Choice)

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Question 95

In testing for the differences between the means of two independent populations,you assume that the two populations each follow a__________ distribution.

(Short Answer)

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Question 96

A business statistics lecturer wanted to test whether the grades on a business statistics test were the same for upper and lower students.The lecturer took a random sample of size 10 from each,conducted a test and found out that the variances were equal.For this situation,the lecturer should use a t test with related samples.

(True/False)

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Question 97

Instruction 10-4 To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. Student Exam Score Before Course Exam Score After Course (2) (1) 1 530 670 2 650 770 3 910 1,000 4 700 710 5 450 550 6 820 870 7 820 770 8 630 610 -Referring to Instruction 10-4,the calculated value of the test statistic is __________.

(Short Answer)

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Question 98

All F tests are one-tailed tests.

(True/False)

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Question 99

The Sydney Morning Herald recently published an article indicating differences in perception of sexual harassment on the job between men and women.The article claimed that women perceived the problem to be much more prevalent than did men.One question asked to both men and women was: "Do you think sexual harassment is a major problem in the Australian workplace?" 24% of the men compared to 62% of the women responded "Yes". -Assuming W designates women's responses and M designates men's,what hypothesis should The Sydney Morning Herald test in order to show that its claim is true?

(Multiple Choice)

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Question 100

Showing 81 - 100 of 175

If we wish to determine whether there is evidence that the proportion of successes is higher in group 1 than in group 2,the appropriate test to use is

Repeated measurements from the same individuals are an example of data collected from two related populations.

In testing for the differences between the means of two independent populations,you assume that the two populations each follow a__________ distribution.

All F tests are one-tailed tests.

Defining and Collecting Data

Organising and Visualising Data

Numerical Descriptive Measures

Basic Probability

Some Important Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Analysis of Variance

Simple Linear Regression

Introduction to Multiple Regression

Time-Series Forecasting and Index Numbers

Chi-Square Tests

Multiple Regression Model Building

Decision Making

Statistical Applications in Quality Management

Further Non-Parametric Tests

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