A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean contents ī is calculated. The hypotheses for the test are: H,:µ=500 g and H:µ # 500 g. H. will be rejected if i< 498 or I2 502. Otherwise, H,will be accepted. a. State the critical region for the hypothesis test. b. Find the significance level. c. Find the power of the test given that the true value of u is 498.4 grams.

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A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is
normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled
as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean
contents iis calculated.
The hypotheses for the test are: H,:µ=500 g and H:µ# 500 g.
H, will be rejected if i< 498 or 2 502. Otherwise, H, will be accepted.
a. State the critical region for the hypothesis test.
b. Find the significance level.
c. Find the power of the test given that the true value of p is 498.4 grams.
Transcribed Image Text:A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean contents iis calculated. The hypotheses for the test are: H,:µ=500 g and H:µ# 500 g. H, will be rejected if i< 498 or 2 502. Otherwise, H, will be accepted. a. State the critical region for the hypothesis test. b. Find the significance level. c. Find the power of the test given that the true value of p is 498.4 grams.
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