SOLUTION: According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years wit

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Question 1113801: According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years with a standard deviation of 5.3 years. What is the test value for a t test of the claim?
A. 1.81
B. 0.30
C. 0.59
D. 2.13
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sample mean is xbar+=+26.6
The population mean is mu+=+26.2 (this is the greek letter mu).
The sample standard deviation is s+=+5.3.
The sample size is n+=+16

Using that info, we find the following:
t+=+%28xbar+-+mu%29%2F%28s%2Fsqrt%28n%29%29

t+=+%2826.6+-+26.2%29%2F%285.3%2Fsqrt%2816%29%29

t+=+%280.4%29%2F%285.3%2F4%29

t+=+%280.4%29%2F%281.325%29

t+=+0.30188679245283 This value is approximate

t+=+0.30 This value is approximate

Rounded to two decimal places, the t value is approximately t+=+0.30

Therefore, the answer is choice B