SOLUTION: A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is

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Question 233172: A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At α = 0.05 is there enough evidence to reject the researcher�s claim? Show all work.
45
38
40
45
35
37
45
43
45
48

44
38
45
44
41
45
50
45
37
39

45
46
35
41
39
41
38
39
39
55

I really need help with this question. I tried all the avenue to solve this problem. Thanks for all your help and support.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
What avenues have you tried?
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Ho: u = 40
Ha: u is not 40
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Now add up all the numbers and divide by 30 to get the sample mean.
Now run a Ttest to get the test statistic and/or the p-value.
If the p-value is <5%, reject Ho.
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Let me know if this is what you need.
Cheers,
Stan H.