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Intelligence quotient (IQ) test scores are believed to have a mean of 100 and a population standard deviation of 15. In a random sample of 36 students in a high school, the mean IQ test score is 105. Researchers claim that the mean IQ test scores at this high school is statistically higher than 100.
1)What is the hypothesized mean?
2) Is the hypothesis test two-tailed, right-tailed, or left-tailed?
3) What is the z-score?
4) What is the p-value? ( #.###)
5) Should the null hypothesis that the IQ test scores of students at the high school is equal to 100 be rejected at the α=0.05 significance level? yes or no?
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