1. What price do farmers get for their watermelon crops? In the third week of July, a random sample of44farming regions gave a sample mean of= $6.88per 100 pounds of watermelon. Assume thatis known to be$1.98per 100 pounds.

(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 $

2. Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.

Number of Similar Preferences	Number of Married Couples
All four	31
Three	125
Two	120
One	64
None	35

Suppose that a married couple is selected at random.

(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (For each answer, enter a number. Enter your answers to 2 decimal places.)

0	1	2	3	4