A sample of 30 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 7.8 with a standard deviation of 3
a. State the null and alternative hypotheses.
b. Using the critical value approach, test the hypotheses at the 5% level of significance.
c. Using the p-value approach, test the hypothesis at the 5% 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. test statistic t = -2.190 < -1.699; reject H0
c. reject H0; the p-value is between .01 to .025
d. A Type II error has not been committed since H0 was rejected.
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