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

Problem #2: An apple grower selects a random sample of 31 apples from this year's crop. The mean and standard deviation of weights of these apples are calculated to be 155 grams and 12 grams, respectively. Weights of apples are known to follow a normal distribution with standard deviation 21 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 142 grams. Suppose we wish to test the apple grower's suspicion using a hypothesis test at the 1% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic? Problem #2(b): (A) {|z> 2.575) (B) {z > 2.33) (C) (z 2.575) (D) {z 2.33) (E) {z < -2.33} (F) {z < -2.575} Problem #2(a): Select Part (a) choices. answer correct to 2 decimals

#2) A large warehouse installed a security system a few years ago. Under an older system the managers estimated that they were losing an average of $678 worth of goods to thieves each week. A random sample of 36 weekly records under the current system showed that they were still losing an average of $650 worth of goods each week. The sample standard deviation was s = $93. Does this indicate that the average loss is different (either more or less) than the previous $678 per week? Use a 5% level of significance.

Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the boxes are normally distributed with a mean of 12.8 oz and a standard deviation of 0.3 oz. Use the 68-95-99.7 Rule to determine the percent of the boxes that contain more than 12.2 oz.