1

1. If the p-value is less than alpha you reject the null hypothesis.
2. True
3. False

0.5 points

QUESTION 2

1. The p-value is
2. 1 minus the probability of a Type I error.
3. the probability of a Type I error.
4. 1 minusthe probability of a Type II error.
5. the probability of a Type III error.

0.5 points

QUESTION 3

1. If the p-value is .044 and alpha () is .05 thenyou reject the null hypothesis.
2. True
3. False

0.5 points

QUESTION 4

1. If the p-value is .212 and alpha () is .05 thenyou reject the null hypothesis.
2. True
3. False

0.5 points

QUESTION 5

1. Suppose you are going to test the null hypothesis that mu=30;You are going to use a t-test and your sample has 56observations.How many degrees of freedom are there for the distribution ofyour test statistic?Or in simpler language,how many degrees of freedom are there?

0.5 points

QUESTION 6

1. Alpha is known as the power of a test.
2. True
3. False

0.5 points

QUESTION 7

1. Suppose you are going to conduct a two tail test concerning the population mean.Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations.If you are going to conduct this test at the .01 level of significance what is the critical value?Be sure to enter apositivenumber and answer to four decimal places.

0.5 points

QUESTION 8

1. Suppose you are going to conduct a one tail test concerning the population mean.Suppose that you do not know what the population standard deviation is and that you have a sample of 38 observations.If you are going to conduct this test at the .05 level of significance what is the critical value?Be sure to enter apositivenumber and answer to four decimal places.

0.5 points

QUESTION 9

1. For a given standard error, the larger the difference between two point estimates the greater the p-value for a test of the equality of means.(Hint, try it with two sets of numbers and the same standard error and see which one has the larger p-value then look at it to see if that was a coincidence or if that will always be the case).
2. True
3. False

0.5 points

QUESTION 10

1. Given a specified level of significance the absolute value of the critical value will be smaller for a one-tailed test than for a two-tailed test.
2. True
3. False

0.5 points

QUESTION 11

1. If there are 50 observations in a sample, how many degrees of freedom are there?(The context here is for finding a t value when testing a hypothesis for the population mean).

0.5 points

QUESTION 12

1. You have poverty guidelines for a certain MSA which indicate that for a family of four the weekly income necessary to be above the poverty line is $550.You take a sample of household incomes for 48 households zoned for a particular school within the MSA.You find a sample average for weekly income of $540 and a standard deviation of $86.Test the null hypothesis that average weekly pay for households zoned for that school isat least$550.Conduct this test at the .05 level of significance.
2. What is the critical value?Answer to four decimal places.

0.5 points

QUESTION 13

1. You have poverty guidelines for a certain MSA which indicate that for a family of four the weekly income necessary to be above the poverty line is $550.You take a sample of household incomes for 48 households zoned for a particular school within the MSA.You find a sample average for weekly income of $540 and a standard deviation of $86.Test the hypothesis that average weekly pay for households zoned for that school isat least$550.Conduct this test at the .05 level of significance.
2. What is the test statistic?Answer to four decimal places.

0.5 points

QUESTION 14

1. You have poverty guidelines for a certain MSA which indicate that for a family of four the weekly income necessary to be above the poverty line is $550.You take a sample of household incomes for 48 households zoned for a particular school within the MSA.You find a sample average for weekly income of $540 and a standard deviation of $86.Test the hypothesis that average weekly pay for households zoned for that school isat least$550.Conduct this test at the .05 level of significance.
2. True or false: you fail to reject the null hypothesis.
3. True
4. False

0.5 points

QUESTION 15

1. Suppose you are conducting a left tail test and you find a test statistic of 2.445.Suppose that you are conducting the test at the .05 level of significance and there were 42 observations with an unknown population standard deviation.Do you reject or fail to reject the null hypothesis?
2. Ask the professor.
3. Reject.
4. I can't decide.
5. Fail to reject.

0.5 points

QUESTION 16

1. The test statistic for a hypothesis test concerning the value of a population mean when the standard deviation is known and the sample has more than 30 observations follows which distribution?
2. t
3. z
4. F
5. Chi square

0.5 points

QUESTION 17

1. A credit card company wants to test the hypothesis that its account holders spend an average of $100 per month at gasoline stations.They take a sample of 1000 accounts and find an average spend of $115 with a standard deviation of $41.Conduct this hypothesis test with a .01 level of significance.What is the test statistic?Answer to two decimal places.Hint: this is a two-tail test.

0.5 points

QUESTION 18

1. Based on the test statistic you found above for the 1000 customers with their spending on gasoline and the alpha value of .01 what conclusion do you draw?
2. Reject the null hypothesis;there is strong evidence that the average spend is not $100.
3. Fail to reject the null hypothesis; there is not strong evidencethat the average spend is not $100.
4. Reject the null hypothesis;there is strong evidencethat the average spend is $100.
5. Fail to reject the null hypothesis; there is strong evidencethat the average spend is not $100.

0.5 points

QUESTION 19

1. Suppose that a restaurant launched a new advertising campaign in conjunction with a new menu.After one month they take a random sample of 250 bills (tables) and find an average bill of 73.4.In that sample they also find the standard deviation is 38.6.Conduct a hypothesis test to determine whether the new campaign and menu have increased the average bill above the previous average of 71.6.Hint, the null hypothesis is that mu<=71.6 and we assume that the standard deviation is unknown so we use the estimate of 38.6 from the sample.What is the test statistic? Answer to three decimal places.(Remember that when a value for alpha is not explicitly stated in this class then you can assume it is .05;use alpha=.05 in this problem.)

0.5 points

QUESTION 20

1. Based on the statistic in the previous problem you reject the null hypothesis that the average bill<=71.6.
2. True
3. False