How much do wild mountain lions weigh? Adult wild mountain lions (18 months or o

Question

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):

75 104 130 127 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. (Round your answers to one decimal place.)

x = _______ lb

s = _______ lb

(b) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

lower limit ______ lb

upper limit ______ lb

Explanation / Answer

1)x = 93.3

s = 31.30

2)

Z for 75% = 1.15

Standard error = 31.30/sqrt(n) = 31.30/sqrt(6) = 12.8

Upper bound = 93.333 + 1.15* 12.778 = 108.02

Lower bound = 93.33 - 1.15 * 12.778 = 78.63

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