SOLUTION: A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9

Algebra ->  Probability-and-statistics -> SOLUTION: A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9      Log On


   

Question 633911: A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9. At a
= 0.05 is there enough evidence to reject the researcher’s claim? Show all work.

49
63
90
52
22
80
72
56
82
56
24
46
70
74
70
61
65
71
39
74
79
76
71
49
62
68
71
67
69
45
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Null Hypothesis: µ = 64 (Claim)
Alternative Hypothesis: µ ≠ 64
t Test, df = 29
Test Statistic, t: -0.5338
Critical t: ±2.0452
P-Value: 0.5976

Fail to Reject the Null Hypothesis
Sample does not provide enough evidence to reject the claim that the average age of people who buy lottery tickets is 64.