Question
A researcher at another company with 1,987 employees is also interested in studying the IQ scores of his employees, but unlike the researcher above, he
A researcher at another company with 1,987 employees is also interested in studying the IQ scores of his employees, but unlike the researcher above, he assumes that they will score higher than the national average of 100, but he wants to test his hypothesis to make sure. He administers the Wechsler Adult Intelligence Scale (WAIS) to a random sample of 64 employees. Their average score was 94 with a standard deviation of 14.
10.Would he need a one-tailed test or a two-tailed test to answer his question?
11. What is the null hypothesis (in words or formula)?
12. What is the alternative hypothesis (in words or formula)?
13. What would be the shape of the sampling distribution of the mean? Explain your answer.
14. Using the sample standard deviation (14) to estimate the population standard deviation, what would the standard error of the mean be for the sampling distribution of the mean?
15. What is the Z score on the sampling distribution of the mean for a mean score of 94, if the null hypothesis is true?
16. Would the researcher fail to reject the null as Richard and Miller (2013) point out, hypothesis or reject the null hypothesis?
17. What would be more likely that the researcher committed a Type 1 error or a Type 2 error?
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