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):
72 | 106 | 133 | 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
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(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.)
A)
Mean= 93.6
standard deviation= s = 32.5
upper limit= 133
lower limit=60
using excel we find this value
Mean | 93.66666667 |
Standard Error | 13.28323923 |
Median | 89 |
Mode | #N/A |
Standard Deviation | 32.53715825 |
Sample Variance | 1058.666667 |
Kurtosis | -2.54573331 |
Skewness | 0.220567427 |
Range | 73 |
Minimum | 60 |
Maximum | 133 |
Sum | 562 |
Count | 6 |
Confidence Level(75.0%) | 17.28081728 |
B)
75% confidence interval for this given data using sample size,mean,and standard deviation
76.3 to 110.9
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