Question

refer to the accompanying data set and construct a 95% confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. compare the results
click the icon to view the pulse rates for adult females and adult males

construct a 95% confidence interval of the mean pulse rate for adult females.
71.3 bpm < μ < 79.8 bpm
(round to one decimal place as needed.)
construct a 95% confidence interval of the mean pulse rate for adult males.
63.4 bpm < μ < 71.0 bpm
(round to one decimal place as needed.)
compare the results
a. the confidence intervals do not overlap, so it appears that there is no difference in mean pulse rates between adult females and adult males.
b. the confidence intervals overlap, so it appears that there is no difference in mean pulse rates between adult females and adult males.
c. the confidence intervals do not overlap, so it appears that adult females have a higher mean pulse rate than adult males.
d. the confidence intervals overlap, so it appears that adult males have a higher mean pulse rate than adult females

Explanation:

• For confidence intervals, if two intervals do not overlap, it suggests a potential difference. Here, the female confidence interval (\(71.3\) bpm \(<\mu<79.8\) bpm) and male confidence interval (\(63.4\) bpm \(<\mu<71.0\) bpm) do not overlap.
• Also, since the entire female confidence interval is above the male confidence interval, it implies that adult females have a higher mean pulse rate than adult males.

Answer:

C. The confidence intervals do not overlap, so it appears that adult females have a higher mean pulse rate than adult males