1) You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Letxbe the age of the calf (in weeks), and letybe the weight of the calf (in kilograms).

x

1

5

11

16

26

36

y

39

47

73

100

150

200

1 a.) The calves you want to buy are16weeks old.What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.)

(1b) What price do farmers get for their watermelon crops? In the third week of July, a random sample of43farming regions gave a sample mean of= $6.88per 100 pounds of watermelon. Assume thatis known to be$1.98per 100 pounds.

2(a)

Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.)

lower limit$

upper limit$

margin of error$

(b)

Find the sample size necessary for a 90% confidence level with maximal error of estimateE=0.35for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.)

farming regions

(c)

A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)?Hint:1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.)

lower limit$

upper limit$

margin of error$

(D) Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)

=4;=2

P(3x6) =

(E) The area to the left ofz=0.43is= ?

(3)

Sociologists say that90%of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose thattwelvemarried women are having coffee together one morning. Find the following probabilities. (For each answer, enter a number. Round your answers to three decimal places.)

(a)

All of them dislike their mother-in-law.

(b) None of them dislike their mother-in-law.

(c) At leasttenof them dislike their mother-in-law.

(d) No more thannineof them dislike their mother-in-law.