Question
In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean is found to be 108, and the sample standard deviation is found to be 10. Construct the 96% confidence interval if the sample size is 25.
a. Construct the 96% confidence interval if the sample size is 10.
b. How does decreasing the sample size affect the margin of error?
c.Could you have computed the confidence intervals in a. and b.
d. if the population was not normal? Explain your answer.
Solutions
Expert Solution
(a)
(b)
(c)
Margin of error increases when sample size decreases.
(d)
No, we cannot compute the confidence intervals from part (a)- (b) if it is not stated that the population is not been normally distributed.
Whenever we have the information regarding the population standard deviation \left( \sigma \right)(σ) then we use the normal distribution.
orchestra answered 1 year agoRelated Solutions
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx, is found to be 110, and the sample standard
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,x overbarx, is found to
be 115,and the sample standard deviation, s, is found to be
10.
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size, n, is 23.
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
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sample size, n, is 18 . The Lower Bound and Upper Bound (b)
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size, n, is 25 ....
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
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and the sample standard deviation, s, is found to be 10.
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