The following output was obtained from data that contains temperatures for 130 r
ID: 3135288 • Letter: T
Question
The following output was obtained from data that contains temperatures for 130 randomly selected male & female subjects (65 of each). Based on the output, answer the following questions regarding difference in mean body temperature between men and women.
a. What is the sample mean for the Female group? Male group? What is the 95% CI for the true
average body temperature of females? of males?
b. From the side-by-side boxplots for the temperatures of males and females, do there seem to be
any differences?
c. Based on the 95% CI, is there evidence that the mean temperature depends on gender? Ex-
plain.
d. What is the estimated standard error of the sample mean difference? Have you made any
assumption on population variances? Why is your variance assumption reasonable?
e. Give a formal test for the difference in mean body temperature between males and females. Can
the null hypothesis be rejected at level .05? At level .01?
f. How do your answers change in part v if you give a test for lower body temperature in men?
Explanation / Answer
. What is the sample mean for the Female group? Male group? What is the 95% CI for the true
average body temperature of females? of males?
98.210 and 98.578 for females
97.931 and 98.278 for males
b. From the side-by-side boxplots for the temperatures of males and females, do there seem to be
any differences?
yes as you can see there is a differences in the boxplots
c. Based on the 95% CI, is there evidence that the mean temperature depends on gender? Ex-
plain.
No as you can see both intervals are very close each other
d. What is the estimated standard error of the sample mean difference? Have you made any
assumption on population variances? Why is your variance assumption reasonable?
Se = 0.08949
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.