Use the Excel printout to answer the following questions. t-Test: Two-Sample Assuming Equal Variances E F Variable 1 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T <= t) one-tail t Critical one-tail P(T <= t) two-tail t Critical two-tail What is the observed value of the test statistic? t = 28.637 5.071 6 3.813 0 9 0.330 0.375 1.833 0.749 2.262 What is the p-value of the test? p-value = G Variable 2 In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? O Yes, the ratio of the the larger variance to the smaller variance is less than three. O Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O It is not possible to check that assumption with the given information. 28.247 2.241 5 What are the degrees of freedom for the pooled estimate of the population variance? df = What can you conclude concerning the null hypotheses in this case if a = 0.05? O Since the p-value is less than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is less than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Use the Excel printout to answer the following questions.
t-Test: Two-Sample Assuming Equal Variances
F
Variable 1
E
Mean
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
t Stat
P(T <=t) one-tail
t Critical one-tail
P(T <= t) two-tail
t Critical two-tail
28.637
5.071
6
3.813
0
9
What is the observed value of the test statistic?
t =
0.330
0.375
1.833
0.749
2.262
G
Variable 2
In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable?
O Yes, the ratio of the the larger variance to the smaller variance is less than three.
Yes, the ratio of the larger variance to the smaller variance is more than three.
What is the p-value of the test?
p-value =
28.247
2.241
5
O No, the ratio of the larger variance to the smaller variance is less than three.
O No, the ratio of the larger variance to the smaller variance is more than three.
O It is not possible to check that assumption with the given information.
What are the degrees of freedom for the pooled estimate of the population variance?
df =
What can you conclude concerning the null hypotheses in this case if a = 0.05?
O Since the p-value is less than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means.
O Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means.
O Since the p-value is less than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
O Since the p-value is greater than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
Transcribed Image Text:Use the Excel printout to answer the following questions. t-Test: Two-Sample Assuming Equal Variances F Variable 1 E Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T <=t) one-tail t Critical one-tail P(T <= t) two-tail t Critical two-tail 28.637 5.071 6 3.813 0 9 What is the observed value of the test statistic? t = 0.330 0.375 1.833 0.749 2.262 G Variable 2 In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? O Yes, the ratio of the the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. What is the p-value of the test? p-value = 28.247 2.241 5 O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O It is not possible to check that assumption with the given information. What are the degrees of freedom for the pooled estimate of the population variance? df = What can you conclude concerning the null hypotheses in this case if a = 0.05? O Since the p-value is less than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is less than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
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