Answer:
t = 2.817
Step-by-step explanation:
The test statistic for testing a claim that the population mean IQ of statistic instructors is greater than 110 will be the student's t test statistic since;
The sample data appear to come from a normally distributed population and the the population standard deviation is not know.
The following information has been availed;
The sample size = n = 15
The sample mean of IQ scores = 118
The sample standard deviation = s = 11
The following hypothesis is to be tested;
Null hypothesis : Population mean = 110
Alternative hypothesis : population mean > 110
The test statistic is determined through the standardization of the sample mean;
[tex]t=\frac{118-110}{\frac{11}{\sqrt{15} } }[/tex]
t = 2.8167
