Problem #2: An apple grower selects a random sample of 39 apples from this year's crop. The mean and standard deviation of weights of these apples are calculated to be 158 grams and 13 grams, respectively. Weights of apples are known to follow a normal distribution with standard deviation 22 grams. The apple grower suspects that the true mean weight of apples from this year's crop is different from that of last year's crop, when the true mean weight was 143 grams. Suppose we wish to test the apple grower's suspicion using a hypothesis test at the 5% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic? Problem #2(b): (A) {z < -1.96) (B) {z > 1.96} (C) {z 1.96} (D) {z < -1.645} (E) {z 1.645) (F) {z > 1.645} Problem #2(a): Select Part (a) choices. answer correct to 2 decimals

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Problem #2: An apple grower selects a random sample of 39 apples from this year's crop. The mean and standard deviation of
weights of these apples are calculated to be 158 grams and 13 grams, respectively. Weights of apples are known
to follow a normal distribution with standard deviation 22 grams. The apple grower suspects that the true mean
weight of apples from this year's crop is different from that of last year's crop, when the true mean weight was
143 grams. Suppose we wish to test the apple grower's suspicion using a hypothesis test at the 5% level of
significance.
(a) What is the appropriate rejection region?
(b) What is the value of the test statistic?
Problem #2(b):
(A) {z < -1.96} (B) {z 1.96) (C) {z 1.96} (D) {z < -1.645} (E) {z 1.645} (F) {z > 1.645}
Problem #2(a): Select Part (a) choices.
answer correct to 2 decimals
Transcribed Image Text:Problem #2: An apple grower selects a random sample of 39 apples from this year's crop. The mean and standard deviation of weights of these apples are calculated to be 158 grams and 13 grams, respectively. Weights of apples are known to follow a normal distribution with standard deviation 22 grams. The apple grower suspects that the true mean weight of apples from this year's crop is different from that of last year's crop, when the true mean weight was 143 grams. Suppose we wish to test the apple grower's suspicion using a hypothesis test at the 5% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic? Problem #2(b): (A) {z < -1.96} (B) {z 1.96) (C) {z 1.96} (D) {z < -1.645} (E) {z 1.645} (F) {z > 1.645} Problem #2(a): Select Part (a) choices. answer correct to 2 decimals
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