1.

he new owner of a caf is concerned that sales revenue is decreasing. When they purchased the caf, average weekly sales revenue was $5812. A random sample of 6 weeks of caf trading had a mean sales revenue of $4667 grams with a standard deviation of $433. What is value of the mean that will be used in the null hypothesis?

Please do NOT include units in your answer

2.

A recent newspaper article claims that the mean number of screens per household is greater than 14.5 screens. A random sample of 40 households had a sample mean of 17.1 screens. Assume that the population standard deviation is known to be 2.2 screens. Give the value of the calculated test statistic, correctly rounded to two decimal places.

3.

Suppose a random sample of size 36 is selected from a population with mean , the value of which is unknown. The sample had a mean of 10.5 and a standard deviation of 12. You are given the following hypotheses:

Ho: = 8

H_A: > 8

If testing at of 5%, which of the following is the correct decision and conclusion?

As t calculated of 1.25 is less than t critical of 1.69, we reject Ho and conclude there is significant evidence the population mean is greater than 8.As t calculated of 1.25 is less than t critical of 1.69, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.As Z calculated of 1.25 is less than Z critical of 1.645, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.None of these choices is correctAs Z calculated of 1.25 is less than Z critical of 1.645, we reject Ho and conclude there is significant evidence the population mean is greater than 8.

4.

A recent newspaper article claims that the mean number of screens per household is greater than 9. A random sample of 69 households had a sample mean of 6.66 screens. Assume that the population standard deviation is known to be 1.76 screens. For this question, you are required to give your answer in two parts a) and b):

a) Enter 1 if Z or 9 if t. Please note, that the values in part a) have no further use in this question.

b) Give the value of the calculated test statistic. Please give your final answer correctly rounded to two decimal places. Work to a minimum of 4 decimal places throughout your calculation.

5.

The owner of a flourmill is concerned that new machinery is not filing bags correctly. The bags are supposed to have a population mean weight of 500 grams. A random sample of 123 bags of flour has a mean weight of 500.5 grams. Assume the population standard deviation is known to be 2.2 grams. What is the correct null hypothesis and the correct alternative hypothesis, to test the owner's concern?

Ho: 500 vs Ha: = 500

Ho: x = 500 vs Ha: x 500

Ho: = 500.5 vs Ha: 500.5

Ho: = 500 vs Ha: 500

Ho: 500.5 vs Ha: = 500.5