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): 68 108 132 125 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)

The sample size is n=6. The provided sample data along with the data required to compute the sample mean and sample variance are shown in the table below:

	X	X2
	68	4624
	108	11664
	132	17424
	125	15625
	60	3600
	64	4096
Sum =	557	57033

The sample mean is computed as follows:

Also, the sample variance is

Therefore, the sample standard deviation s is

(b)

The critical value for α=0.25 and df=n−1=5 degrees of freedom is . The corresponding confidence interval is computed as shown below:

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