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.
a. H0: ? ? 9
Ha: ? < 9
b. Reject H0, –4.5 < –2.602
c. Reject H0; the p-value is less than .005
d. A Type II error has not been committed since H0 was rejected.
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