Question 1

If the decision is to reject the null hypothesis at the 5% level of significance, what are the acceptable alternate hypothesis and rejection region?

Accepted Answer

A) p1 ≠ p2; z > 1.65 and z 1.96 and z p2; z p2; z < - 1.96 E) None of these statements is correct A) p1 ≠ p2; z > 1.65 and z 1.96 and z p2; z p2; z < - 1.96 E) None of these statements is correct

Question 2

The employees at the East Vancouver office of a multinational company are demanding higher salaries than those offered at the company office located in Oshawa Ontario. Their justification for the pay difference is that the difference between the average price of single-family houses in East Vancouver and that in Oshawa is more than $60,000. Before making a decision, the company management wants to study the difference in the prices of single-family houses for sale at the two locations.
The results of their search of recent house sales are as follows (in $000, rounded to the nearest
Thousand):   Assuming that the population distributions are approximately normal, can we conclude at the 0.05 significance level that the difference between the two population means is greater than $60,000?
If we let East Vancouver be population 1 and Oshawa be population 2, what is the null hypothesis?

Accepted Answer

A)  µ1 = µ2, or µd = 0 
B)  µ1 ≠ µ2, or µd ≠ 0 
C)  µ1 - µ2 ≤ 60 
D)  µ1 - µ2 > 60 
E)  None of these statements are correct 
A)  µ1 = µ2, or µd = 0 
B)  µ1 ≠ µ2, or µd ≠ 0 
C)  µ1 - µ2 ≤ 60 
D)  µ1 - µ2 > 60 
E)  None of these statements are correct

Question 3

i. A committee studying employer-employee relations proposed that each employee would rate his or her immediate supervisor and in turn the supervisor would rate each employee. To find reactions regarding the proposal, 120 office personnel and 160 plant personnel were selected at random. Seventy-eight of the office personnel and 90 of the plant personnel were in favour of the proposal. Computed z = 1.48. At the 0.05 level, it was concluded that there is sufficient evidence to support the belief that the proportion of office personnel in favour of the proposal is greater than that of the plant personnel. 
ii. We use the pooled estimate of the proportion in testing the difference between two population proportions.
Iii) The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

Accepted Answer

A)  (i), (ii) and (iii) are all false statements 
B)  (ii) is a correct statement, but not (i) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i) is a correct statement, but not (ii) and (iii). 
A)  (i), (ii) and (iii) are all false statements 
B)  (ii) is a correct statement, but not (i) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i) is a correct statement, but not (ii) and (iii).

Question 4

Accounting procedures allow a business to evaluate their inventory at LIFO (Last In First Out) or FIFO (First In First Out). A manufacturer evaluated its finished goods inventory (in $000) for five products both ways. Based on the following results, is LIFO more effective in keeping the value of his inventory lower?   What is the value of calculated t?

Accepted Answer

A)  +0.93 
B)  ±2.776 
C)  +0.0.47 
D)  -2.028 
E)  None of these statements are correct. 
A)  +0.93 
B)  ±2.776 
C)  +0.0.47 
D)  -2.028 
E)  None of these statements are correct.

Question 5

Married women are more often than not working outside the home on at least a part-time basis, as do most mannered men. Does a husband's employment status affect his wife's well being? In an attempt to answer this question, 20 married female professionals were surveyed as to their job satisfaction.
In this sample, 15 husbands were employed, and 5 were unemployed. The Learning Objective of the study was to compare the mean job satisfaction levels of the married women with working husbands, with the mean job satisfaction levels of the married women with husbands that stayed at home.
If the p-value obtained from the computer printout is 0.055, does this give sufficient evidence to conclude that the mean level of job satisfaction for women with working husbands is more than that of those whose husbands don't work?

Accepted Answer

A)  Yes, at alpha = 0.05 
B)  Yes, at alpha = 0.01 
C)  Yes, at alpha = 0.10 
D)  No, at alpha = 0.06 
E)  Insufficient information to make a decision 
A)  Yes, at alpha = 0.05 
B)  Yes, at alpha = 0.01 
C)  Yes, at alpha = 0.10 
D)  No, at alpha = 0.06 
E)  Insufficient information to make a decision

Question 6

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions?   i. The alternate hypothesis is pa - pb ≠ 0
Ii) Using the 1% level of significance, the critical value is ±2.58.
Iii) The z-statistic is 3.57.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (ii) is a correct statement, but not (i) and (iii). 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (ii) is a correct statement, but not (i) and (iii).

Question 7

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions?   i. The alternate hypothesis is pa - pb ≠ 0
Ii) The proportion of sales made in Market Area 1 is 0.40.
Iii) The proportion of sales made in Market Area 2 is 0.33.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (ii) is a correct statement, but not (i) and (iii). 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (ii) is a correct statement, but not (i) and (iii).

If the decision is to reject the null hypothesis at the 5% level of significance, what are the acceptable alternate hypothesis and rejection region?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 10: Two-Sample Tests of Hypothesis

If the decision is to reject the null hypothesis at the 5% level of significance, what are the acceptable alternate hypothesis and rejection region?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters