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):

73

101

130

124

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

Sol:

use mean function in R studio to get the mean and sd function to get the standard deviation and t.test function with confidence level set to 0.75 to get the 75% confidence interval

Rcode:

wild_mountain_lions <- c(73   ,101,   130   ,124,   60,   64)
mean(wild_mountain_lions)
sd(wild_mountain_lions)
t.test(wild_mountain_lions,conf.level = 0.75)

Output:

75 percent confidence interval:
75.68532 108.31468

From output:

x=92

s=30.7

lower limit	75.7 lb
upper limit	108.3 lb