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A sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.875 with a standard deviation of 1. Assume the distribution of the population is normal.
a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 1% level of significance.
c.Using a p-value, test the hypothesis at the 1% level of significance.
d.Compute the probability of a Type II error if the true number of chocolate chips per cookie is 8.
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