Asleep study collected data from a random sample of 40 college students and recorded the hours of sleep on a particular night for each student. the average hours of sleep for the nts in this sample was 7.759 hours. it is known that the population standard deviation or nightly hours of sleep is 1.272 hours. published data has indicated that the mean nightly hours of sleep for the general population is 8.125 hours. the sleep study wants to test if college students get less sleep than the general population.

a) state which hypothesis test would be appropriate in this situation. the formula sheet for hypothesis testing includes all the hypothesis tests we will cover in stat100. name of the hypothesis test as listed in the first column of the formula sheet provide the te state the null and alternative hypotheses for this hypothesis test. be sure to use appropria notation and symbols.
b) is this a two-sided test or a one-sided test? explain why
c) d) y ou can assume that the conditions for this test have been met. calculate the test statistic for this test. use the appropriate formula from the formula sheet for hypothesis testing how all work and rourd any values to three decimal places draw a diagram showing where the test statistic you calculated in part
d) would be located in a distribution assuming that the null hypothesis is true. shade in the region under the curve which represents the p-value for this test.
e) ) use the appropriate distribution (either the z-distribution (standard normal) or the t- distribution) and determine the p-value for this test. explain how you determined the p-value
f) draw a conclusion for this test and explain why you arrived at your conclusion.