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 had the following weights (pounds):

68

100

131

129

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
68	-24	576
100	8	64
131	39	1521
129	37	1369
60	-32	1024
64	-28	784

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

So standard deviation is

b. t value for 5 df is TINV(0.25,5)=1.301

So Margin of Error is

Hence CI is

Lower Limit = 59.3

Upper Limit = 124.7