The claim is that the IQ scores of statistics professors are

The claim is that the IQ scores of statistics professors are normally distributed, with a mean greater than 124. A sample of 15 professors had a mean IQ score of 125 with a standard deviation of 12. Find the value of the test statistic. The value of the test statistic is

Solution

Note that

z = (X - u) * sqrt(n) / s

where X = sample mean = 125
u = hypothesized mean = 124
n = sample size = 15
s = standard deviation = 12

Thus,

z = 0.323 [ANSWER]