Question

The Hammarsten Soda Company claims that, on average, there are 12 fluid ounces in each bottle of soda and the standard deviation is 0.16 fluid ounces. Being the loyal customer you are, you’ve decided to prove their claim. You randomly select 50 bottles and find the average of this particular sample is 11.96 fluid ounces. What is the probability of randomly selecting a sample that will have an average of 11.96 fluid ounces or less? a. What type of distribution are you using? Pick one of the following: “uniform distribution,” “normal distribution,” “sampling distribution for ?̅,” and “sampling distribution for ?̂.” b. Is the distribution normal? How do you know? c. What are the mean and standard deviation of your distribution? d. Sketch a picture, shade, then find the probability of randomly selecting a sample of size 50 that will have an average of 11.96 fluid ounces or less. e. Look at your answer from part d. If the company is telling the truth about how much they are filling their bottles, would you expect a sample that has the mean yours has? Explain.

Answer 1

thank you