SOLUTION: For all of the following use the five step process to solve the problem in the question, that is, state the null hypothesis, the alternative hypothesis, the level of significance a

Question 534804: For all of the following use the five step process to solve the problem in the question, that is, state the null hypothesis, the alternative hypothesis, the level of significance and the type of test (z-test, t-test, p-value, confidence limit and whether it is two tailed, one-tailed upper or one tailed lower).
According to a recent survey, Americans get a mean of seven hours sleep per night. A random sample of 50 students a West Virginia University revealed the mean number of hours slept last night was 6 hours and 48 minutes (6.8 hours). The standard deviation of the sample was 0.9 hours. Is it reasonable to conclude that the students a West Virginia sleep less than the typical American?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
According to a recent survey, Americans get a mean of seven hours sleep per night.
A random sample of 50 students a West Virginia University revealed the mean number of hours slept last night was 6 hours and 48 minutes (6.8 hours).
-----
The standard deviation of the sample was 0.9 hours.
-------------
Is it reasonable to conclude that the students a West Virginia sleep less than the typical American?
Ho: u >= 7 hrs
Ha: u < 7 (claim)
--------------------------
z(6.8) = (6.8-7)/[0.9/sqrt(50)] = -1.5713
-----
p-value = P(z < -1.5713) = 0.0581
-----
Conclusion: Since the p-value is greater than 5%,
fail to reject Ho.
The test results to not support the claim.
==================
Cheers,
Stan H.
==================

RELATED QUESTIONS
Use an inequality and the five-step process to solve the problem. Show all steps... (answered by stanbon)

The following hypotheses are given. H0pie=0 H1pie does not =1 A sample of... (answered by stanbon)

A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The... (answered by ankor@dixie-net.com)

Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by solver91311)

use the five step problem solving process translate reword carry-out check state... (answered by Alan3354)

Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by richard1234)

use the five step problem solving process translate reword carry-out check state... (answered by stanbon)

Solve using the five-step problem-solving process. The sum of two consecutive integers... (answered by checkley77)

The Highway Safety Institute conducted test crashes at 6 mph, calculating the costs for... (answered by stanbon)