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The mean of 15 sample IQ scores of statistic instructors is 118. The sample standard deviation is 11. Given the sample data appear to come from a normally distributed population, find the test statistic for a claim that the population mean IQ of statistic instructors is greater than 110.

t = 10.909


t = 2.817


t = 9.342


t = 3.767

User Honey
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1 Answer

4 votes

Answer:

t = 2.817

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;


t=(118-110)/((11)/(√(15) ) )

t = 2.8167

User ThePosey
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