How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds):

75

106

129

130

60

64

Assume that the population of x values has an approximately normal distribution.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s (in pounds). (Round your answers to four decimal places.)

x= lbs

s= lb

(b)

Find a 75% confidence interval for the population average weight (in pounds) of all adult mountain lions in the specified region. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one decimal place.)

(c)

What does the confidence interval mean in the context of this problem?

We are 75% confident that the mean weight of mountain lions in this sample falls within this interval.

The probability that the mean weight of mountain lions in this sample falls within this interval is 0.75.

We are 75% confident that the population mean weight of mountain lions in the San Andreas Mountains falls within this interval.

The probability that the population mean weight of mountain lions in the San Andreas Mountains falls within this interval is 0.75.