1.A study found that the mean amount of time cars spent in?drive-throughs of a certain?fast-food restaurant was 159.5 seconds. Assuming?drive-through times are normally distributed with a standard deviation of 33 ?seconds, complete parts?(a) through?(d) below.

?(a) What is the probability that a randomly selected car will get through the?restaurant's drive-through in less than 109 ?seconds?

The probability that a randomly selected car will get through the?restaurant's drive-through in less than 109 seconds is

_______

?(Round to four decimal places as?needed.)

?(b) What is the probability that a randomly selected car will spend more than 218 seconds in the?restaurant's drive-through?

The probability that a randomly selected car will spend more than 218 seconds in the?restaurant's drive-through is

______

?(Round to four decimal places as?needed.)

?(c) What proportion of cars spend between 2 and 3 minutes in the?restaurant's drive-through?

The proportion of cars that spend between 2 and 3 minutes in the?restaurant's drive-through is

_______

?(Round to four decimal places as?needed.)

?(d) Would it be unusual for a car to spend more than 3 minutes in the?restaurant's drive-through??Why?

The probability that a car spends more than 3 minutes in the?restaurant's drive-through is

________?, so it?______, since the probability is ?_____ 0.05.

?(Round to four decimal places as?needed.)

2.A survey was conducted that asked 1018 people how many books they had read in the past year. Results indicated that x=12.2 books and s=16.6 books. Construct a 99?% confidence interval for the mean number of books people read. Interpret the interval.

Construct a 99?% 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 to complete correct choice.

?(Use ascending order. Round to two decimal places as?needed.)

A.

There is 99?% confidence that the population mean number of books read is between _____and _____

B.

If repeated samples are?taken, 99?% of them will have a sample mean between ____ and ____

C.

There is a 99?% probability that the true mean number of books read is between _____and _____

3.A survey?asked, "How many tattoos do you currently have on your?body?" Of the 1238 males?surveyed, 177 responded that they had at least one tattoo. Of the 1092 females?surveyed, 137 responded that they had at least one tattoo. Construct a 99?% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99?% confidence interval for p1?p2.

The lower bound is _____

.

The upper bound is _____

.

?(Round to three decimal places as?needed.)

4.A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are?satisfied, determine if there is a price difference between the two stores. Use the ?=0.1 level of significance.

calld and beauty supplie wu ublween the two stores. Use the a = 0.1 level of significance. Comp A B C D E F G H Store 5.98 7.44 3.72 1.77 1.73 2.81 4.71 3.14 2.99 3.77 1 Store 5.91 7.98 3.95 1.78 1.91 2.49 4.79 3.78 2.96 3.69 2