SOLUTION: I need some much needed assistance with this. Can someone help?.... A researcher claims that the average age of people who buy lottery tickets is 61. A sample of 30 is selected

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Question 624732: I need some much needed assistance with this. Can someone help?....
A researcher claims that the average age of people who buy lottery tickets is 61. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 8. At a
= 0.01 is there enough evidence to reject the researcher’s claim? Show all work.
49
63
66
52
25
80
72
56
33
56

51
46
70
74
70
61
65
71
28
74

79
76
35
49
62
68
54
67
69
45


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Note: *Note:
X = 62.5
z = = 1 .0267
At a = 0.01 (z = 2.576) is there enough evidence to reject the researcher’s claim
NO, 1.0267 < 2.576
________________________________________________________________________
a a/2 crtical regions
80% 0.2 10% z <-1.28155 z >+1.28155
90% 0.1 5% z <-1.645 z >+1.645
92% 0.8 4% z <-1.751 z >+1.751
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.326 z >+2.326
99% 0.01 0.50% z<-2.576 z >+2.576

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