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MATH 302 Q5.docx
MATH_302_Q5.docx
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MATH_302_Q5.docx-Question 1 of 17 1.0/ 1.0
Page 1
Question 1 of 17
1.0/ 1.0 Points
A researcher hypothesizes that the variation in the amount of money spent on business dinners is
greater than the variation of the amount of money spent on lunches. The variance of nine
business dinners was $6.12 and the variance of 12 business lunches was $0.87. What is the test
value?
A. 3.10
B. 9.61
C. 7.03
D. 49.50
Answer Key:C
Question 2 of 17
1.0/ 1.0 Points
A pharmaceutical company is testing the effectiveness of a new drug for lowering
cholesterol. As part of this trial, they wish to determine whether there is a difference between the
effectiveness for women and for men. Assume
α
= 0.05. What is the test value?
Women
Men
Sample size
50
80
Mean effect
7
6.95
Sample variance
3
4
A. z = 0.081
Page 2
B. t = 3.252
C. z = 0.455
D. t = 0.151
Answer Key:D
Question 3 of 17
1.0/ 1.0 Points
Two independent samples of sizes n
1
= 50 and n
2
= 50 are randomly selected from two
populations to test the difference between the population means,
. The sampling
distribution of the sample mean difference,
is:
A. normally distributed
B. t - distributed with 98 degrees of freedom
C. chi-squared distributed with 99 degrees of freedom
D. approximately normal
Page 3
Answer Key:D
Part 2 of 8 -
5.0/ 5.0 Points
Question 4 of 17
1.0/ 1.0 Points
A linear regression analysis produces the equation
y = 5.32 + (-0.846)x
Which of the following statements must be true?
A. As x increases, y increases, and the correlation coefficient must be negative.
B. As x increases, y decreases, and the correlation coefficient must be negative.
C. As x increases, y decreases, and the correlation coefficient must be positive.
D. As x increases, y increases, and the correlation coefficient must be positive.
Answer Key:B
Question 5 of 17
1.0/ 1.0 Points
Correlation is a summary measure that indicates:
A. the strength of the linear relationship between pairs of variables
Page 4
B. the magnitude of difference between two variables
C. the rate of change in Y for a one unit change in X
D. a curved relationship among the variables
Answer Key:A
Question 6 of 17
1.0/ 1.0 Points
____________ is/are especially helpful in identifying outliers.
A. Normal curves
B. Linear regression
C. Regression analysis
D. Scatterplots
Page 5
Answer Key:D
Question 7 of 17
1.0/ 1.0 Points
An agent for a residential real estate company in a large city would like to be able to predict the
monthly rental cost of apartments based on the size of the apartment. Data for a sample of 25
apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel
workbook Apartments.xlsx.
Apartments.xlsx
At the .05 level of significance determine if the correlation between rental cost and apartment
size is significant.
A. No, there is not a statistically significant linear relationship between monthly rental
cost and apartment size, because the sample correlation coefficient is less than .95.
B. Yes, there is a statistically significant linear relationship between monthly rental cost
and apartment size, because the t-test value, 7.74, is greater than the critical value 1.96.
C. Yes, there is a statistically significant linear relationship between monthly rental cost
and apartment size, because the sample correlation coefficient 0.85 exceeds 0.50.
D. Yes, there is a statistically significant linear relationship between monthly rental cost
and apartment size, because the p-value for this test is less than .0001.
Answer Key:D
Question 8 of 17
1.0/ 1.0 Points
The standard error of the estimate, s
est
, is essentially the
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