Instruction 10-8 The following MicosoftS1U1P1S1S1P0 Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. \[\begin{array}{l} \begin{array} {| l | l |} \hline \text {Hypothesised Difference }&0\\ \hline \text {Level of Significance }&0.05\\ \hline \text {Group 1 }&\\ \hline \text {Number of Successes }&160\\ \hline \text { Sample size}&200\\ \hline \text {Group 2 }&\\ \hline \text {Number of Successes }&172\\ \hline \text {Sample Size }&250\\ \hline \text {Intermediate Calculations }&\\ \hline \text {Group 1 Proportion }&0.8\\ \hline \text {Group 2 Proportion }&0.688\\ \hline \text { Difference in Two Proportions}&0.112\\ \hline \text {Average Proportion }&0.737777778 \\ \hline \text { Test Statistic}&2.684103363 \\ \hline \text {Two-Tailed Test }&\\ \hline \text { Lower Critical Value}&-1.95996398 \\ \hline \text {Upper Critical Valuse }&1.959963985 \\ \hline \text {p-Value }&0.007272462\\ \hline \end{array} \end{array}\] -Referring to Instruction 10-8,construct a 99% confidence interval estimate of the difference in the population proportion of satisfied guests between the two resorts.

The answer of Instruction 10-8 The following MicosoftS1U1P1S1S1P0 Excel output contains...

Instruction 10-5 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. \[\begin{array} { c c c } \text { Student } & \begin{array} { c } \text { Exam Score } \\ \text { Before Course (1) } \end{array} & \begin{array} { c } \text { Exam Score } \\ \text { After Course (2) } \end{array} \\ \hline { 3 - 3 } 2 & 530 & 670 \\ 2 & 690 & 770 \\ 3 & 910 & 1,000 \\ 4 & 700 & 710 \\ 5 & 450 & 550 \\ 6 & 820 & 870 \\ 7 & 820 & 770 \\ 8 & 630 & 610 \end{array}\] -Referring to Instruction 10-5,the value of the sample mean difference is ________ if the difference scores reflect the results of the exam after the course minus the results of the exam before the course.

A) 400 B) 50 C) 68 D) 0 A) 400 B) 50 C) 68 D) 0

Instruction 10-9 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 10-9,what is/are the critical value(s)when testing whether population proportions are different if α = 0.10?

A) -1.96 B) ± 1.645 C) ± 2.08 D) ± 1.96 A) -1.96 B) ± 1.645 C) ± 2.08 D) ± 1.96

Instruction 10-1 Are Chinese managers more motivated than Australian managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL),which measures motivation for upward mobility.The SSATL scores are summarised below. \[\begin{array} { | l | l | l | } \hline & \text { Australian } & \text { Chinese } \\ \hline \text { Sample Size } & 211 & 100 \\ \hline \text { Mean SSATL Score } & 65.75 & 79.83 \\ \hline \text { Population Std. Dev. } & 11.07 & 6.41 \\ \hline \end{array}\] -Referring to Instruction 10-1,what is the value of the test statistic?

A) 96.4471 B) -14.08 C) -1.9677 D) -11.8092 A) 96.4471 B) -14.08 C) -1.9677 D) -11.8092

Instruction 10-8 The following MicosoftS1U1P1S1S1P0 Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. \[\begin{array}{l} \begin{array} {| l | l |} \hline \text {Hypothesised Difference }&0\\ \hline \text {Level of Significance }&0.05\\ \hline \text {Group 1 }&\\ \hline \text {Number of Successes }&160\\ \hline \text { Sample size}&200\\ \hline \text {Group 2 }&\\ \hline \text {Number of Successes }&172\\ \hline \text {Sample Size }&250\\ \hline \text {Intermediate Calculations }&\\ \hline \text {Group 1 Proportion }&0.8\\ \hline \text {Group 2 Proportion }&0.688\\ \hline \text { Difference in Two Proportions}&0.112\\ \hline \text {Average Proportion }&0.737777778 \\ \hline \text { Test Statistic}&2.684103363 \\ \hline \text {Two-Tailed Test }&\\ \hline \text { Lower Critical Value}&-1.95996398 \\ \hline \text {Upper Critical Valuse }&1.959963985 \\ \hline \text {p-Value }&0.007272462\\ \hline \end{array} \end{array}\] -Referring to Instruction 10-8,construct a 90% confidence interval estimate of the difference in the population proportion of satisfied guests between the two resorts.

The answer of Instruction 10-8 The following MicosoftS1U1P1S1S1P0 Excel output contains...

Instruction 10-8 The following MicosoftS1U1P1S1S1P0 Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different. \[\begin{array}{l} \begin{array} {| l | l |} \hline \text {Hypothesised Difference }&0\\ \hline \text {Level of Significance }&0.05\\ \hline \text {Group 1 }&\\ \hline \text {Number of Successes }&160\\ \hline \text { Sample size}&200\\ \hline \text {Group 2 }&\\ \hline \text {Number of Successes }&172\\ \hline \text {Sample Size }&250\\ \hline \text {Intermediate Calculations }&\\ \hline \text {Group 1 Proportion }&0.8\\ \hline \text {Group 2 Proportion }&0.688\\ \hline \text { Difference in Two Proportions}&0.112\\ \hline \text {Average Proportion }&0.737777778 \\ \hline \text { Test Statistic}&2.684103363 \\ \hline \text {Two-Tailed Test }&\\ \hline \text { Lower Critical Value}&-1.95996398 \\ \hline \text {Upper Critical Valuse }&1.959963985 \\ \hline \text {p-Value }&0.007272462\\ \hline \end{array} \end{array}\] -Referring to Instruction 10-8,if you want to test the claim that "Resort 1 (Group 1)has a lower proportion of satisfied guests compared to Resort 2 (Group 2)",you will use

A) a t test for the difference between two proportions. B) an F test for the ratio of two variances. C) a Z test for the difference between two proportions. D) an F test for the difference between two proportions. A) a t test for the difference between two proportions. B) an F test for the ratio of two variances. C) a Z test for the difference between two proportions. D) an F test for the difference between two proportions.

Exam 10: Hypothesis Testing: Two Sample Tests

Instruction 10-6 A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct,he contacts a second supplier and asks for the prices on similar various materials.He wants to compare these prices with those of his primary supplier.The data collected is presented in the table below,with some summary statistics presented (all of these might not be necessary to answer the questions which follow).The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01. Material Primary Supplier Secondary Supplier Difference 1 \ 55 \ 45 \ 10 2 \ 48 \ 47 \ 1 3 \ 31 \ 32 -\ 1 4 \ 83 \ 77 \ 6 5 \ 37 \ 37 \ 0 6 \ 55 \ 54 \ 1 Sum: \3 09 \2 92 \1 7 Sum of Squares. \ 17,573 \ 15,472 \ 139 -Referring to Instruction 10-6,the buyer should decide that the primary supplier is

(Multiple Choice)

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Question 41

Instruction 10-8 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. Hypothesised Difference 0 Level of Significance 0.05 Group 1 Number of Successes 160 Sample size 200 Group 2 Number of Successes 172 Sample Size 250 Intermediate Calculations Group 1 Proportion 0.8 Group 2 Proportion 0.688 Difference in Two Proportions 0.112 Average Proportion 0.737777778 Test Statistic 2.684103363 Two-Tailed Test Lower Critical Value -1.95996398 Upper Critical Valuse 1.959963985 p-Value 0.007272462 -Referring to Instruction 10-8,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 42

Instruction 10-5 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 (1) Exam Score After Course (2) 3-3 2 530 670 2 690 770 3 910 1,000 4 700 710 5 450 550 6 820 870 7 820 770 8 630 610 -Referring to Instruction 10-5,the value of the sample mean difference is ________ if the difference scores reflect the results of the exam after the course minus the results of the exam before the course.

(Multiple Choice)

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Question 43

When testing H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

(Multiple Choice)

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Question 44

Instruction 10-9 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 10-9,what is/are the critical value(s)when testing whether population proportions are different if α = 0.10?

(Multiple Choice)

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Question 45

Instruction 10-1 Are Chinese managers more motivated than Australian managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL),which measures motivation for upward mobility.The SSATL scores are summarised below. Australian Chinese Sample Size 211 100 Mean SSATL Score 65.75 79.83 Population Std. Dev. 11.07 6.41 -Referring to Instruction 10-1,what is the value of the test statistic?

(Multiple Choice)

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Question 46

In testing for differences between the means of two related populations,the null hypothesis is

(Multiple Choice)

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Question 47

Instruction 10-4 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: $\quad \bar { X } _ { \mathrm { G } } = 35$ months, $\quad S _ { \mathrm { G } } ^ { }² = 900$ Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$ -Referring to Instruction 10-4,what is the estimated standard error of the difference between the two sample means?

(Multiple Choice)

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Question 48

Instruction 10-8 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. Hypothesised Difference 0 Level of Significance 0.05 Group 1 Number of Successes 160 Sample size 200 Group 2 Number of Successes 172 Sample Size 250 Intermediate Calculations Group 1 Proportion 0.8 Group 2 Proportion 0.688 Difference in Two Proportions 0.112 Average Proportion 0.737777778 Test Statistic 2.684103363 Two-Tailed Test Lower Critical Value -1.95996398 Upper Critical Valuse 1.959963985 p-Value 0.007272462 -Referring to Instruction 10-8,construct a 90% confidence interval estimate of the difference in the population proportion of satisfied guests between the two resorts.

(Short Answer)

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Question 49

In testing for differences between the means of two related populations where the variance of the differences is unknown,the degrees of freedom are

(Multiple Choice)

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Question 50

Instruction 10-6 A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct,he contacts a second supplier and asks for the prices on similar various materials.He wants to compare these prices with those of his primary supplier.The data collected is presented in the table below,with some summary statistics presented (all of these might not be necessary to answer the questions which follow).The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01. Material Primary Supplier Secondary Supplier Difference 1 \ 55 \ 45 \ 10 2 \ 48 \ 47 \ 1 3 \ 31 \ 32 -\ 1 4 \ 83 \ 77 \ 6 5 \ 37 \ 37 \ 0 6 \ 55 \ 54 \ 1 Sum: \3 09 \2 92 \1 7 Sum of Squares. \ 17,573 \ 15,472 \ 139 -Referring to Instruction 10-6,what is the 90% confidence interval estimate for the mean difference in prices?

(Short Answer)

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Question 51

Instruction 10-12 Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances.The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0. -Referring to Instruction 10-12,the pooled (i.e. ,combined)variance is ________.

(Short Answer)

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Question 52

Instruction 10-5 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 (1) Exam Score After Course (2) 3-3 2 530 670 2 690 770 3 910 1,000 4 700 710 5 450 550 6 820 870 7 820 770 8 630 610 -Referring to Instruction 10-5,in examining the differences between related samples you are essentially sampling from an underlying population of difference "scores".

(True/False)

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Question 53

Given the following information,calculate the degrees of freedom that should be used in the pooled-variance t test. S₁² = 4 S₂² = 6 N₁ = 16 n₂ = 25

(Multiple Choice)

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Question 54

Instruction 10-12 Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances.The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0. -Referring to Instruction 10-12,the p-value for a two-tailed test whose computed t statistic is 2.50 is between and .

(Short Answer)

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Question 55

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 56

Instruction 10-8 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. Hypothesised Difference 0 Level of Significance 0.05 Group 1 Number of Successes 160 Sample size 200 Group 2 Number of Successes 172 Sample Size 250 Intermediate Calculations Group 1 Proportion 0.8 Group 2 Proportion 0.688 Difference in Two Proportions 0.112 Average Proportion 0.737777778 Test Statistic 2.684103363 Two-Tailed Test Lower Critical Value -1.95996398 Upper Critical Valuse 1.959963985 p-Value 0.007272462 -Referring to Instruction 10-8,if you want to test the claim that "Resort 1 (Group 1)has a lower proportion of satisfied guests compared to Resort 2 (Group 2)",you will use

(Multiple Choice)

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Question 57

A Marine drill instructor recorded the time in which each of 11 recruits completed an obstacle course both before and after basic training.To test whether any improvement occurred,the instructor would use a t-distribution with 10 degrees of freedom.

(True/False)

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Question 58

When testing H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

(Multiple Choice)

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Question 59

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

(True/False)

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Question 60

When testing H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

In testing for differences between the means of two related populations,the null hypothesis is

In testing for differences between the means of two related populations where the variance of the differences is unknown,the degrees of freedom are

Given the following information,calculate the degrees of freedom that should be used in the pooled-variance t test. S₁² = 4 S₂² = 6 N₁ = 16 n₂ = 25

A Marine drill instructor recorded the time in which each of 11 recruits completed an obstacle course both before and after basic training.To test whether any improvement occurred,the instructor would use a t-distribution with 10 degrees of freedom.

When testing H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

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

Introduction and Data Collection

Presenting Data in Tables and Charts

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 and Productivity Management

Further Non-Parametric Tests

Filters

Exam 10: Hypothesis Testing: Two Sample Tests

When testing H0: π1 - π2 ≥ 0 versus H1: π1 - π2 < 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

In testing for differences between the means of two related populations,the null hypothesis is

In testing for differences between the means of two related populations where the variance of the differences is unknown,the degrees of freedom are

Given the following information,calculate the degrees of freedom that should be used in the pooled-variance t test. S12 = 4 S22 = 6 N1 = 16 n2 = 25

A Marine drill instructor recorded the time in which each of 11 recruits completed an obstacle course both before and after basic training.To test whether any improvement occurred,the instructor would use a t-distribution with 10 degrees of freedom.

When testing H0: π1 - π2 ≤ 0 versus H1: π1 - π2 > 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

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

Introduction and Data Collection

Presenting Data in Tables and Charts

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 and Productivity Management

Further Non-Parametric Tests

Filters

When testing H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is

Given the following information,calculate the degrees of freedom that should be used in the pooled-variance t test. S₁² = 4 S₂² = 6 N₁ = 16 n₂ = 25

When testing H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0,the observed value of the Z test statistic was found to be -2.13.The p-value for this test is