1. The Crown Bottling Company has installed a new bottling process that will fill 12- ounce...

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1. The Crown Bottling Company has installed a new bottlingprocess that will fill 12- ounce bottles of Cola. Both overfillingand underfilling of bottles is undesirable. The company wishes tosee whether the mean bottle fill, µ, is approximately the target of12 ounces. The standard deviation of the process is such thatσ=0.41. The company samples 32 bottles. Use a hypothesis test, at a5% level of significance, and the sample mean to determine whetherthe filler should be adjusted. The sample mean: 12.17

a) What is the null hypothesis and what is the alternativehypothesis?

b) What is the rejection region? Show it in a picture andexplain.

c) What test statistic should you use? What is the value of yourtest statistic?

d) What is your conclusion with respect to the nullhypothesis?

2. Now suppose the company is trying to cut costs and wants tolimit overfilling of bottles by more than 0.10 ounces. Use aone-tailed hypothesis test to determine whether the mean is morethan 12.10 ounces. (Hint: follow all the steps outlined above)

Step by step and well explained, please. Thanks in advance

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