The average resting heart rate for all college students in t

The average resting heart rate for all college students in the U.S. is 70 beats per minute (bpm). The resting heart rate is generally lower in physically fit people and higher in those who are not fit. Researchers at the Student Health Service at Texas A&M University want to test their theory that the average resting heart rate of A&M students is not the same as the resting heart rate of all college students in general. Unknown to the researchers, suppose that IN REALITY the average resting heart rate for all A&M students is 68 bpm. What null and alternative hypotheses should the researchers use?

A) The null hypothesis should be \"The mean resting heart rate for all A&M students is less than 70 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students is equal to 70 bpm\".

b)The null hypothesis should be \"The mean resting heart rate for all A&M students in the sample is equal 70 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students in the sample is not equal to 70 bpm\".    

C) The null hypothesis should be \"The mean resting heart rate for all A&M students is equal 70 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students is not equal to 70 bpm\".

D)The null hypothesis should be \"The mean resting heart rate for all A&M students is equal 68 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students is not equal to 68 bpm\".

E)The null hypothesis should be \"The mean resting heart rate for all A&M students is more than 68 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students is equal to 68 bpm\".

Solution

The objective of the study is to test whether the average resting heart rate of A&M students is not the same as the resting heart rate of all college students in general.

Here, we are testing the population parameter(mean) 70bpm. The researcher doesn\'t show any particular direction, thus we assume the test is based on two-tailed. That is, alternative hypothesis says that not equals to.

C) The null hypothesis should be \"The mean resting heart rate for all A&M students is equal 70 bpm\" and the alternative hypothesis should be \"The mean resting heart rate for all A&M students is not equal to 70 bpm\".