14: A medical researcher wondered if there is a significant difference between t
ID: 3244891 • Letter: 1
Question
14: A medical researcher wondered if there is a significant difference between the mean birth weight of boy and girl babies. Random samples of 5 babies' weights (pounds) for each gender showed the following:
t-Test: Two-Sample Assuming Equal Variances
Boys
Girls
Mean
5.92
5.74
Variance
3.537
3.288
Observations
5
5
Pooled Variance
3.413
Hypothesized Mean Difference
0
df
8
t Stat
0.154
P(T<=t) one-tail
0.441
t Critical one-tail
1.860
P(T<=t) two-tail
0.881
t Critical two-tail
2.306
At the .05 significance level, the decision should be to:
A: Do not reject the null hypothesis.
B: Reject the null hypothesis.
C: There is insufficient information to make a decision on the null hypothesis.
15: What is the decision rule when using the p-value approach to hypothesis testing?
A. Reject Ho if the p-value > .
B. Reject Ho if the p-value < .
C. Do not reject Ho if the p-value < 1- .
D. Do not reject Ho if the p-value > 1- .
--------------------------------------------------------------------------------------------------------------------------------------------------------
A researcher at Malco Industries hypothesizes that men’s wages are significantly greater than women’s wages at the .05 level. Review the following output. Which statement is correct?
t-Test: Two-Sample Assuming Unequal Variances
Wages for men
Wages for women
Mean
36492.92
24451.51
Variance
340313003.7
154893232.3
Observations
53
47
Hypothesized Mean Difference
0
df
92
t Stat
3.863
P(T<=t) one-tail
0.0001
t Critical one-tail
1.662
P(T<=t) two-tail
0.0002
t Critical two-tail
1.986
16: What decision should be made on the Ho?
A. The researcher should not reject the Ho.
B. The researcher should reject the Ho.
C. There is insufficient information to make a decision on the Ho.
For the following questions (17-18), use the following regression output.
Regression Statistics
Multiple R
0.968
R Square
Adjusted R Square
0.936
Standard Error
115.5993
Observations
32
ANOVA
df
SS
MS
F
Significance F
Regression
1
6035851.903
6035852
451.6772
1.23E-19
Residual
30
400895.9721
13363.2
Total
31
6436747.875
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
162.6628
54.4786
2.9858
0.00556
51.4027
273.923
Floor space
0.3067
0.01443
21.2527
1.23E-19
0.2773
0.336
DV = Assessed value
IV = Floor space (square feet)
17: What is the coefficient of determination? (Round to three decimal places.)
A. .968
B. .937
C. .936
D. Insufficient information to determine the coefficient of determination.
18. What is the correct interpretation of the slope?
A: For every one square foot increase, the assessed value increases by $162.66.
B: For every one square foot increase, the assessed value decreases by $162.66
C: For every one square foot increase, the assessed value decreases by $.31.
D: For every one square foot increase, the assessed value increases by $.31.
t-Test: Two-Sample Assuming Equal Variances
Boys
Girls
Mean
5.92
5.74
Variance
3.537
3.288
Observations
5
5
Pooled Variance
3.413
Hypothesized Mean Difference
0
df
8
t Stat
0.154
P(T<=t) one-tail
0.441
t Critical one-tail
1.860
P(T<=t) two-tail
0.881
t Critical two-tail
2.306
Explanation / Answer
Answer:
14: A medical researcher wondered if there is a significant difference between the mean birth weight of boy and girl babies. Random samples of 5 babies' weights (pounds) for each gender showed the following:
t-Test: Two-Sample Assuming Equal Variances
Boys
Girls
Mean
5.92
5.74
Variance
3.537
3.288
Observations
5
5
Pooled Variance
3.413
Hypothesized Mean Difference
0
df
8
t Stat
0.154
P(T<=t) one-tail
0.441
t Critical one-tail
1.860
P(T<=t) two-tail
0.881
t Critical two-tail
2.306
Two tailed p value 0.881 > 0.05
At the .05 significance level, the decision should be to:
Answer: A: Do not reject the null hypothesis.
B: Reject the null hypothesis.
C: There is insufficient information to make a decision on the null hypothesis.
15: What is the decision rule when using the p-value approach to hypothesis testing?
A. Reject Ho if the p-value > .
Answer: B. Reject Ho if the p-value < .
C. Do not reject Ho if the p-value < 1- .
D. Do not reject Ho if the p-value > 1- .
--------------------------------------------------------------------------------------------------------------------------------------------------------
A researcher at Malco Industries hypothesizes that men’s wages are significantly greater than women’s wages at the .05 level. Review the following output. Which statement is correct?
t-Test: Two-Sample Assuming Unequal Variances
Wages for men
Wages for women
Mean
36492.92
24451.51
Variance
340313003.7
154893232.3
Observations
53
47
Hypothesized Mean Difference
0
df
92
t Stat
3.863
P(T<=t) one-tail
0.0001
t Critical one-tail
1.662
P(T<=t) two-tail
0.0002
t Critical two-tail
1.986
Calculated t=3.863 > 1.662 one tail t critical.
16: What decision should be made on the Ho?
A. The researcher should not reject the Ho.
Answer: B. The researcher should reject the Ho.
C. There is insufficient information to make a decision on the Ho.
For the following questions (17-18), use the following regression output.
Regression Statistics
Multiple R
0.968
R Square
Adjusted R Square
0.936
Standard Error
115.5993
Observations
32
ANOVA
df
SS
MS
F
Significance F
Regression
1
6035851.903
6035852
451.6772
1.23E-19
Residual
30
400895.9721
13363.2
Total
31
6436747.875
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
162.6628
54.4786
2.9858
0.00556
51.4027
273.923
Floor space
0.3067
0.01443
21.2527
1.23E-19
0.2773
0.336
DV = Assessed value
IV = Floor space (square feet)
17: What is the coefficient of determination? (Round to three decimal places.)
A. .968
Answer: B. .937
C. .936
D. Insufficient information to determine the coefficient of determination.
18. What is the correct interpretation of the slope?
A: For every one square foot increase, the assessed value increases by $162.66.
B: For every one square foot increase, the assessed value decreases by $162.66
C: For every one square foot increase, the assessed value decreases by $.31.
Answer: D: For every one square foot increase, the assessed value increases by $.31.
t-Test: Two-Sample Assuming Equal Variances
Boys
Girls
Mean
5.92
5.74
Variance
3.537
3.288
Observations
5
5
Pooled Variance
3.413
Hypothesized Mean Difference
0
df
8
t Stat
0.154
P(T<=t) one-tail
0.441
t Critical one-tail
1.860
P(T<=t) two-tail
0.881
t Critical two-tail
2.306
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