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A random sample of 100 pumpkins is obtained and the mean circumference is found to be...

A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 3.2 cm. Use a 5% significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.

(a) Identify the null hypothesis and alternative hypothesis.

(b) Find the test statistic.

(c) Calculate the P-value.

(d) Make conclusion about the null hypothesis and give the final conclusion that addresses the original claim.

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