Previously a study found that Statistics students were spending about $400.00 on textbooks per semester.A researcher at Penn State decides to research book cost because he now believes that book cost per semester is greater than $400.00.A random sample of 64 Statistics students finds that the sample average is $410.00 with a standard deviation of $80.Is this strong evidence that the average amount spent on textbooks per semester is greater than $400?We wish to carry out the appropriate hypothesis test.

1)In this situation, the null hypothesis is that:

a)the long run average equals $400

b)the long run average is greater than $400

c)the long run average is greater than $410

d)the long run average equals $410

2)The standard error of the mean under the null hypothesis is:

A)$10

B)$80

C)$20

D)$15

3)What is our test statistic value (standardized score)?

A)+1.0

B)+0.5

C)-1.0

D)-0.5

4)What is the p-value of our test statistic (standardized score) for the significance test?

A)0.16 or 16%

B)0.31 or 31%

C)0.84 or 84%

D)0.69 or 69%

5)Based on the p-value, we can conclude:

A)that the null hypothesis is a reasonable explanation of the data

B)that the null hypothesis is a poor explanation of the data

C)that the null hypothesis is true

D)that the alternative hypothesis is true

6)What is the Type 2 error in this situation?

A)fail to reject that the population average is $400 when we should reject that the population average is $400

B)reject that the population average is $400 when we should not reject that the population average is $400

7)Given the p-value found in our hypothesis test, would a 95% confidence interval for the true population average spent include $400?

A)Yes

B)No