Choose the correct null hypotheses, Applied Statistics

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For the following claim, find the null and alternative hypotheses, test statistic, P-value, critical value and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population.

Claim: The mean IQ score of statistics professors is greater than 130.

Sample data: n = 12, mean = 134, s= 10. The significance level is a = 0.05.

a. Choose the correct null hypotheses (H0) and alternative hypothesis (H1).

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