A pack of whey powder is marked to have 30 grams. It was determined that the average mean weight content is 27.5 grams and a standard deviation of 0.9 grams. The bakery randomly selected 36 packs from the stock room. a. What is the standard error? b. Construct a 95% confidence interval, provide margin of error c. Construct a 95% one-sided confidence bound, provide margin of error d. Assuming that the population is normally distributed, test to see if the mean of the population is at least 30 grams. Use 0.01 level of significance. e. Applying the same hypotheses, use a 0.075 level of significance.

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A pack of whey powder is marked to have 30 grams. It was determined that the average mean weight
content is 27.5 grams and a standard deviation of 0.9 grams. The bakery randomly selected 36 packs
from the stock room.
a. What is the standard error?
b. Construct a 95% confidence interval, provide margin of error
c. Construct a 95% one-sided confidence bound, provide margin of error
d. Assuming that the population is normally distributed, test to see if the mean of the population is
at least 30 grams. Use 0.01 level of significance.
e. Applying the same hypotheses, use a 0.075 level of significance.
Transcribed Image Text:A pack of whey powder is marked to have 30 grams. It was determined that the average mean weight content is 27.5 grams and a standard deviation of 0.9 grams. The bakery randomly selected 36 packs from the stock room. a. What is the standard error? b. Construct a 95% confidence interval, provide margin of error c. Construct a 95% one-sided confidence bound, provide margin of error d. Assuming that the population is normally distributed, test to see if the mean of the population is at least 30 grams. Use 0.01 level of significance. e. Applying the same hypotheses, use a 0.075 level of significance.
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