A Pepsi filling machine is supposed to fill cans with a population standard devi

Question

A Pepsi filling machine is supposed to fill cans with a population standard deviation of 0.49 ounces. The fill amounts of 12 cans are tested by the quality control people. The data (in ounces) are shown below. At the 10% level of significance, does it seem like that machine is working properly? 16, 1 15.9 16.8 16.0 15.0 I. Hypotheses: H_0:_________ H_a:___________ II. test stat = _________ III. Critical value = ___________ IV. H_0. is accepted/rejected. (circle one) V. Conclusion: Evidence suggests that 15% of all Iowa 2^nd graders the flu bug yes/no? (circle one)

Explanation / Answer

Below are the mean and alternate hypothesis

H0: mu = 16
H1: mu not equals to 16

test stat, t = (15.96 - 16)/(0.49/sqrt(5)) = -0.1825

For 10% significance level, critical value for df = 4 is 1.660

As test stat value of t, lies between critical value, we fail to reject the null hyupothesis.

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