Question 704079: A researcher claims that the average age of people who buy lottery tickets is 58. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 7. At a = 0.01 is there enough evidence to reject the researcher’s claim?
65
63
26
52
74
80
72
56
36
56
79
60
70
74
70
61
65
71
28
74
79
75
38
49
62
68
45
67
69
45
Please can someone walk me through this !!
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website! OK, I DID AN EXAMPLE FOR YOU SO YOU CAN UNDERSTAND IT BETTER:
MY EXAMPLE IS AGE OF PEOPLE IS 65,WITH A SAMPLE OF 30
FRIST ADD UP ALL YOUR DATA TO GET A SUM
MY SUM IS 1725
TO GET X-BAR 1725 DIVIDE BY 30,,,X-BAR =57.5
STANDARD DEVIATION= σ=6
SAMPLE SIZE N=30
HO:µ=65
HA:=#65
A=0.01
AT THE SIGNIFICANCE LEVEL OF A=0.01,THE CRITICAL VALUE FOR Z -CRIT.=±1.285
TEST STATISTIC Z=(X BAR -µ)/(σ/√N)=
(57.5-65)/(6/√30)=-6.84653
SINCE -6.84653<-1.285 WE REJECT HO AND THEREFORE CONCLUDES THAT THE
RESEACHERS CALIM IS NOT TRUE.
YOU STUDY THIS EXAMPLE AND I AM SURE YOU WILL THEN KNOW HOW TO DO YOUR PROBLEM
THIS EXAMPLE IS JUST LIKE WALKING YOU THROUGH
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