Sleep: Assume the general population gets anaverage of 7 hours of sleep per night. You randomly select 45college students and survey them on their sleep habits. From thissample, the mean number of hours of sleep is found to be 6.89 hourswith a standard deviation of 0.25 hours. You claim that collegestudents get less sleep than the general population. That is, youclaim the mean number of hours of sleep for all college students isless than 7 hours. Test this claim at the 0.01 significancelevel.

(a) What type of test is this?

-This is a two-tailed test.

-This is a left-tailed test.    

-This is a right-tailed test.

(b) What is the test statistic? Round your answer to 2decimal places.
t- _{x =}

(c) Use software to get the P-value of the test statistic.Round to 4 decimal places.
P-value =

(d) What is the conclusion regarding the null hypothesis?

-reject H₀

-fail to rejectH₀    

(e) Choose the appropriate concluding statement.

-The data supports the claim that college students get lesssleep than the general population.

-There is not enough data to support the claim that collegestudents get less sleep than the generalpopulation.     

-We reject the claim that college students get less sleep thanthe general population.

-We have proven that college students get less sleep than thegeneral population.