Question

Question 10Suppose that a student is working on a statistic project using data on pulserates collected from a random sample of 100 students from her college. Shefinds a 95% confidence interval for mean pulse rate to be (65.5, 71.8). Explainhow each of the statement below would indicate an improper interpretation ofthis intervala) I am 95% sure that all students will have pulse rates between 65.6 and71.8 beats per minuteb) I am 95% sure that the mean pulse rate for this sample of students will fallbetween 65.5 and 71.8 beats per minutec) I am 95% sure that the confidence interval for the average pulse rate of allstudents at this college goes from 65.5 to 71.8 beats per minuted) I am sure that 95% of all students at this college will have pulse ratesbetween 65.5 and 71.8 beats per minutee) I am 95% sure that the mean pulse rate for all US college students inbetween 65.5 and 71.8 beats per minutef) Of the mean pulse rates for students at this college, 95% will fall between65.5 and 71.8 beats per minuteg) Of random samples of this size is taken from students at this college, 95%will have mean pulse rates between 65.5 and 71.8 beats per minute.

Answer 1

Answer: e) I am 95% sure that the mean pulse rate for all US college students in between 65.5 and 71.8 beats per minute.

Explanation:

A 95% confidence interval interprets that we are 95% sure that the true mean of population falls in it.

We are given that , a 95% confidence interval for mean pulse rate to be (65.5, 71.8).

Correct interpretation : I am 95% sure that the mean pulse rate for all US college students in between 65.5 and 71.8 beats per minute.

Hence, the correct answer is option e) .