Solved

State What the Given Confidence Interval Suggests About the Two μ1μ2\mu _ { 1 } - \mu _ { 2 }

Question 132

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how
Many hours he or she had watched television during the previous week. The summary statistics are as follows.  State what the given confidence interval suggests about the two population means. -A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how Many hours he or she had watched television during the previous week. The summary statistics are as follows.   The following 99% confidence interval was obtained for  \mu _ { 1 } - \mu _ { 2 }  the difference between the mean amount of Time spent watching television for women and the mean amount of time spent watching television for men:  - 5.73 \text { hrs } < \mu _ { 1 } - \mu _ { 2 } < 4.13 \text { hrs. }  What does the confidence interval suggest about the population means? A)  The confidence interval limits include 0 which suggests that the two population means are unlikely to be equal. There appears to be a significant difference between the mean amount of time spent watching Television for women and the mean amount of time spent watching television for men. B)  The confidence interval includes only negative values which suggests that the mean amount of time spent watching television for women is smaller than the mean amount of time spent watching television for Men)  C)  The confidence interval includes only positive values which suggests that the mean amount of time spent watching television for women is larger than the mean amount of time spent watching television for men. D)  The confidence interval limits include 0 which suggests that the two population means might be equal. There does not appear to be a significant difference between the mean amount of time spent watching Television for women and the mean amount of time spent watching television for men. The following 99% confidence interval was obtained for μ1μ2\mu _ { 1 } - \mu _ { 2 } the difference between the mean amount of
Time spent watching television for women and the mean amount of time spent watching television for men: 5.73 hrs <μ1μ2<4.13 hrs. - 5.73 \text { hrs } < \mu _ { 1 } - \mu _ { 2 } < 4.13 \text { hrs. } What does the confidence interval suggest about the population means?


A) The confidence interval limits include 0 which suggests that the two population means are unlikely to be equal. There appears to be a significant difference between the mean amount of time spent watching
Television for women and the mean amount of time spent watching television for men.
B) The confidence interval includes only negative values which suggests that the mean amount of time spent watching television for women is smaller than the mean amount of time spent watching television for
Men)
C) The confidence interval includes only positive values which suggests that the mean amount of time spent watching television for women is larger than the mean amount of time spent watching television for men.
D) The confidence interval limits include 0 which suggests that the two population means might be equal. There does not appear to be a significant difference between the mean amount of time spent watching
Television for women and the mean amount of time spent watching television for men.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents