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): 73 105 131 127 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.)

. More Information 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 Incorrect: Your answer is incorrect. lb upper limit Incorrect:

Explanation / Answer

If you have R software installed :

type the below r code:

weights <- c(73, 105 ,131, 127, 60 ,64 )
mean(weights)
sd(weights)
t.test(weights,conf.level = 0.75)

outpu:

> mean(weights)

[1] 93.33333

> sd(weights)

[1] 31.85383

> t.test(weights,conf.level = 0.75)

One Sample t-test

data: weights

t = 7.1771, df = 5, p-value = 0.000817

alternative hypothesis: true mean is not equal to 0

75 percent confidence interval:

76.41544 110.25123

sample estimates:

mean of x

93.33333

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.)

mean=93.3

sd=31.9

(b) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.

75% confidence interval for the population average weight of all adult mountain lions lies in between

76.4 and 110.3(to one decimal)

lower limit=76.4

upper limit=110.3

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