In a population of
rabbits the mean number of rabbits born in a litter is unknown, but
the standard deviation is 1.64.
In a sample of 300 rabbits a sample mean of 6.7 rabbits per litter
was obtained.
Determine a 95% confidence interval.
a) We have 95% confidence that the interval, 4.74 rabbits < μ < 8.66 rabbits will contain the mean number of rabbits born in all litters. |
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b) We have 95% confidence that the interval, 6.51 rabbits < μ < 6.88 rabbits will contain the mean number of rabbits born in all litters. |
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c) We have 95% confidence that the interval, 6.69 rabbits < μ < 6.71 rabbits will contain the mean number of rabbits born in all litters. |
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d) We have 95% confidence that the interval, 3.49 rabbits < μ < 9.91 rabbits will contain the mean number of rabbits born in all litters. |
Confidence interval = Z*
For 95% confidence level, Z* = 1.96
= 6.7
= 1.64
n = 300
Confidence interval = 6.7 1.96x
= (6.51, 6.89)
b) We have 95% confidence that the interval, 6.51 rabbits < μ < 6.88 rabbits will contain the mean number of rabbits born in all litters.
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