For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is greater than 130. Sample data: nequals11, x overbarequals135, sequals8. The significance level is alphaequals0.05.
from above:
hypothesis:
null hypothesis: | μ | = | 130 | |
Alternate Hypothesis: | μ | > | 130 |
test statistic t=2.073
critical value t=1.812
Conclusion: Reject Ho ; we have suffiicent evidence to support the claim that The mean IQ score of statistics professors is greater than 130.
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