1) The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student

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1) The recommended number of hours of sleep per night is8 hours, but everybody "knows" that the average college studentsleeps less than 7 hours. The number of hours slept last night by10 randomly selected college students is listed below. Complete thefollowing hypothesis test: Ho: 𝜇 = 7, Ha: 𝜇 < 7, 𝛼 = 0.05. 5.36.4 6.8 5.5 6 5.6 6.2 7.3 8 7.4
(a) Find t. (Give your answer correct to two decimalplaces.)
(ii) Find the p-value. (Give your answer correct to four decimalplaces.)
2) Complete the following hypothesistest: H0: 𝜇 =52, Ha: 𝜇 < 52, 𝛼 =0.01 using the data below.
(a) Find t. (Round your answer to two decimalplaces.)(ii) Find the p-value. (Round your answer to fourdecimal places.)
3) Construct a 90% confidence intervalestimate for the mean 𝜇 using the given sampleinformation. (Give your answers correct to two decimalplaces.) n = 29, x = 17,and s = 2.1 _________ to_________
4) The pulse rates for 13 adult women wereas follows. Construct a 0.98 confidence interval for themean pulse rate. (Give your answers correct to one decimalplace.)