Question

1. The Crown Bottling Company has installed a new bottling process that will fill 12- ounce bottles of Cola. Both overfilling and underfilling of bottles is undesirable. The company wishes to see whether the mean bottle fill, µ, is approximately the target of 12 ounces. The standard deviation of the process is such that σ=0.41. The company samples 32 bottles. Use a hypothesis test, at a 5% level of significance, and the sample mean to determine whether the filler should be adjusted. The sample mean: 12.17

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

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

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

d) What is your conclusion with respect to the null hypothesis?

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

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

Answer 1