1.A survey was conducted that asked 1006 people how many books they had read in the past year. Results indicated that x=12.5 books and s=16.6 books. Construct a 95% confidence interval for the mean number of books people read. Interpret the interval.

Construct a 95% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes

(Use ascending order. Round to two decimal places asneeded.)

A.

There is 95% confidence that the population mean number of books read is between ____and____-

B.

There is a 95% probability that the true mean number of books read is between ______and_____

C.

If repeated samples aretaken, 95% of them will have a sample mean between _____ and ____

2.The following data represent the miles per gallon for a particular make and model car for six randomly selected vehicles. Compute themean, median, and mode miles per gallon.

37.8, 29.8, 25.2, 26.2, 32.6, 25.5

Compute the mean miles per gallon. Select the correct choice belowand, ifnecessary, fill in the answer box

A.

The mean mileage per gallon is

(Round to two decimal places asneeded.)

B.

The mean does not exist.

Compute the median miles per gallon. Select the correct choice belowand, ifnecessary, fill in the answer box

A.

The median mileage per gallon is

(Round to two decimal places asneeded.)

B.

The median does not exist.

Compute the mode miles per gallon. Select the correct choice belowand, ifnecessary, fill in the answer box

A.

The mode is

(Round to two decimal places as needed. Use a comma to separate answers asneeded.)

B.

The mode does not exist.

3.n a random sample of 81 audited estate taxreturns, it was determined that the mean amount of additional tax owed was $3452 with a standard deviation of $2556. Construct and interpret a90% confidence interval for the mean additional amount of tax owed for estate tax returns.

The lower bound is $_____

. (Round to the nearest dollar asneeded.)

The upper bound is $____

(Round to the nearest dollar asneeded.)

Interpret a90% confidence interval for the mean additional amount of tax owed for estate tax returns. Choose the correct answer below.

A.

One can be90% confident that the mean additional tax owed is between the lower and upper bounds.

B.

One can be90% confident that the mean additional tax owed is less than the lower bound.

C.

One can be90% confident that the mean additional tax owed is greater than the upper bound.

3.Exclude leap years from the following calculations.

(a) Compute the probability that a randomly selected person does not have a birthday on November 14.

(b) Compute the probability that a randomly selected person does not have a birthday on the 3rd day of a month.

(c) Compute the probability that a randomly selected person does not have a birthday on the 31st day of a month.

(d) Compute the probability that a randomly selected person was not born in April.

(a) The probability that a randomly selected person does not have a birthday on November 14 is

_____

.

(Integer or a decimal rounded to three decimal places asneeded.)

(b) The probability that a randomly selected person does not have a birthday on the 3rd day of a month is

______

.

(Integer or a decimal rounded to three decimal places asneeded.)

(c) The probability that a randomly selected person does not have a birthday on the 31st day of a month is

______

(Integer or a decimal rounded to three decimal places asneeded.)

(d) The probability that a randomly selected person was not born in April is

______

(Integer or a decimal rounded to three decimal places asneeded.)

4.In a random sample of 81 audited estate taxreturns, it was determined that the mean amount of additional tax owed was $3452 with a standard deviation of $2556. Construct and interpret a90% confidence interval for the mean additional amount of tax owed for estate tax returns.

The lower bound is $_____

. (Round to the nearest dollar asneeded.)

The upper bound is $_____

. (Round to the nearest dollar asneeded.)

Interpret a90% confidence interval for the mean additional amount of tax owed for estate tax returns. Choose the correct answer below.

A.

One can be90% confident that the mean additional tax owed is between the lower and upper bounds.

B.

One can be90% confident that the mean additional tax owed is less than the lower bound.

C.

One can be90% confident that the mean additional tax owed is greater than the upper bound.