SOLUTION: Test the claim that the mean time Americans spend watching TV per day is 4.4 hours at the 0.10 level of significance. A random sample of 80 people had a mean time of 2.225 hours vi

Question 740412: Test the claim that the mean time Americans spend watching TV per day is 4.4 hours at the 0.10 level of significance. A random sample of 80 people had a mean time of 2.225 hours viewing per day and a standard deviation of 1.088 hours.
I have a hard time determining whether to use a z test or t test. Here I think it is a z test because the sample is over 30.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Test the claim that thee mean time Americans spend watching TV per day is 4.4 hours at the 0.10 level of significance. A random sample of 80 people had a mean time of 2.225 hours viewing per day and a standard deviation of 1.088 hours.
I have a hard time determining whether to use a z test or t test. Here I think it is a z test because the sample is over 30.
------
Some texts use a t-test for ALL means testing. Others use the t-test
only for samples <= 30. You'll have to check your text to see which
way to go, or do it both ways.
-------
Ho: u = 4.4(claim)
Ha: u # 4.40
=======
z(2.225) = (2.225-4.4)/1.088 = -1.9991
----
p-value = 2*P(z < -1.9991) = 2*normalcdf(-100,-1.9991) = 0.04560
-----
Since the p-value is < 10%, reject Ho.
The test results do not support the claim.
==============================================
Cheers,
Stan H.

RELATED QUESTIONS
Test the claim that the mean time Americans spend watching TV per day is 4.4 hours at the (answered by stanbon)

According to a survey, the typical American spends 154.8 minutes (2.58 hours) per day... (answered by CPhill)

Test the indicated claim about the means of two populations and find confidence interval. (answered by Boreal)

A newspaper article reported that people spend a mean of 7.5 hours per day watching... (answered by Boreal)

I need help with the following questions please: Problem 1) A skeptical paranormal... (answered by stanbon)

) According to a certain survey, adults spend 2.45 2.45 hours per day watching... (answered by Boreal)

Hi could you show me how to do this kind of a problem? Thanks A newspaper article... (answered by stanbon)

A newspaper article reported that people spend a mean of hours per day watching TV, with (answered by stanbon)

A newspaper article reported that people spend a mean of 7 hours per day watching TV,... (answered by reviewermath)