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):

65

102

130

126

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 μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

lower limit	lb
upper limit	lb

Answer 1

a. Sample mean is

Create the following table.

data	data-mean	(data - mean)2
65	-26.1667	684.69618889
102	10.8333	117.36038889
130	38.8333	1508.02518889
126	34.8333	1213.35878889
60	-31.1667	971.36318889
64	-27.1667	738.02958889

Find the sum of numbers in the last column to get.

So

b. Now for n=6, t value for 75% CI is TINV(0.25,5)=1.301

So Margin of Error is

Hence CI is