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):
71 | 104 | 126 | 121 | 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 |
What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):
57.3 | 56.5 | 52.9 | 66.2 | 59.0 | 64.7 | 70.1 | 64.7 | 53.5 | 78.2 |
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 percentage x and the sample standard deviation s. (Round your answers to one decimal place.)
x = | % |
s = | % |
(b) Find a 90% confidence interval for the population average
μ of the percentage of hospitals providing at least some
charity care. (Round your answers to one decimal place.)
lower limit | % |
upper limit |
1)
from given data and excel:
x =average (data array )=91.00
s =stdev(data array) =29.6
b)
std error ='sx=s/√n=29.611/√6= | 12.089 |
for 75% CI; and 5 df, critical t= | 1.301 | |
margin of error E=t*std error = | 15.727 | |
lower bound=sample mean-E = | 75.3 | |
Upper bound=sample mean+E= | 106.7 |
2)
a)
x =average (data array )=62.3
s =stdev(data array) =8.0
b)
for 90% CI; and 9 df, critical t= | 1.833 | from excel: t.inv(0.95,9) | |
margin of error E=t*std error = | 4.636 | ||
lower bound=sample mean-E = | 57.7 | ||
Upper bound=sample mean+E= | 66.9 |
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