Question

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.
	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.
	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.
	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.

Answer 1

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.