SOLUTION: Could someone please help me with this problem? Thanks in advance because I am really lost on how to do this problem. A researcher claims that the average age of people who buy

Question 677098: Could someone please help me with this problem? Thanks in advance because I am really lost on how to do this problem.
A researcher claims that the average age of people who buy theatre tickets is 43. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 6. At a = 0.01 is there enough evidence to reject the researcher�s claim? Show all work.

43 45 62 45 52 36 42 37 59 37 69 39 40 46 42
47 41 37 70 43 79 41 38 45 37 35 40 39 37 36

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A researcher claims that the average age of people who buy theatre tickets is 43. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 6. At a = 0.01 is there enough evidence to reject the researcher�s claim? Show all work.
43 45 62 45 52 36 42 37 59 37 69 39 40 46 42
47 41 37 70 43 79 41 38 45 37 35 40 39 37 36
----
The mean of that sample = 45.3
-----------------------
Hypothesis Test:
Ho: u = 43 (claim)
Ha: u is not equal to 43
-----------------
Rule: Reject Ho if the test statistic is < -2.5857 or is > +2.5857
------------------------------
test statistic: z(45.3) = (45.3-45)/6 = 0.3/6 = 0.05
--------
Critical values for alpha = 0.01:: z = +-2.5758
-------
Since the test stat is not in the reject interval,
fail to reject Ho.
----
The test results support the claim.
====================
Cheers,
Stan H.

RELATED QUESTIONS
Can someone please help me with solving this problem: 8a^2b-2ab I am so confused on this... (answered by longjonsilver)

Can someone please help me with this problem: x^2+5x-6=0 I need to factor completely and... (answered by stanbon)

Could someone please help me with a math problem. I need to find out this problem.... (answered by edjones,Edwin McCravy)

Please help me with this. I am really struggling on learning how to do this. Thank you... (answered by scott8148)

I was working on my math and I saw some Biology problems. I am also struggling with... (answered by Nate)

I had this mixture problem on a quiz and its really hard. If i'd pulled out 10 hairs for... (answered by nerdybill)

factor completely Show your work. y^4-8y^2-9 I am lost on how to do this problem... (answered by checkley77)

Hi There! I really need help understanding Factoring with a Zero Product. Could... (answered by bam878s)

Can someone help me on this problem? I need to solve this literal equaton for... (answered by funmath)