sample of five cans of standard grade tomatoes in puree was taken at random from a production line immediately after filling, and the solid content of each can was weighed. The company desires to test whether the average weight per can is at the specified level of 22 ounces. Past experience indicates that the distribution of the weights per can is approximately normal. The α risk for the test is to be controlled at .01. For the sample, the mean weight was ?̅ =23.9 and the sample standard deviation was s = 0.822 a. State the null and alternative hypotheses. b. Determine the rejection

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A sample of five cans of standard grade tomatoes in puree was taken at random from a production line immediately after filling, and the solid content of each can was weighed. The company desires to test whether the average weight per can is at the specified level of 22 ounces. Past experience indicates that the distribution of the weights per can is approximately normal. The α risk for the test is to be controlled at .01. For the sample, the mean weight was ?̅ =23.9 and the sample standard deviation was s = 0.822

a. State the null and alternative hypotheses.

b. Determine the rejection region – indicate how you did this; don’t just give the answer.

c. Compute the test statistic – indicate what formula was used.

d. What is your conclusion and why? 

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