American Automobile Association & Skillings Distributors Assignment No 7 Just answer all the problems/questions on the sheet attached, thank you. Assignmen

American Automobile Association & Skillings Distributors Assignment No 7 Just answer all the problems/questions on the sheet attached, thank you. Assignment 7
1.
A simple random sample of 60 items resulted in a sample mean of 80. The
population standard deviation is a = 15.
a.
Compute the 95% confidence interval for the population mean.
b.
Assume that the same sample mean was obtained from a sample of 120 items.
Provide a 95% confidence interval for the population mean.
c.
What is the effect of a larger sample size on the interval estimate?
2.
A simple random sample with n = 54 provided a sample mean of 22.5 and a
sample standard deviation of 4.4.
a.
Develop a 90% confidence interval for the population mean.
b.
Develop a 95% confidence interval for the population mean.
c.
Develop a 99% confidence interval for the population mean.
d.
What happens to the margin of error and the confidence interval as the
confidence level is increased?
3.
Sales personnel for Skillings Distributors submit weekly reports listing the
customer contacts made during the week. A sample of 65 weekly reports showed a
sample mean of 19.5 customer contacts per week. The sample standard deviation was
5.2. Provide 90% and 95% confidence intervals for the population mean number of
weekly customer contacts for the sales personnel.
4.
.70.
a.
b.
A simple random sample of 800 elements generates a sample proportion j5 =
Provide a 90% confidence interval for the population proportion.
Provide a 95% confidence interval for the population proportion.
5.
A survey conducted by the American Automobile Association showed that a
family of four spends an average of $215.60 per day while on vacation. Suppose a
sample of 64 familie of four vacationing at Niagara Falls resulted in a sample mean of
$252.45 per day and a sample standard deviation of $74.50.
a.
Develop a 95% confidence interval estimate of the mean amount spent per day
by a family of four visiting Niagara Falls.
b.
Based on the confidence interval from part (a), does it appear that the population
mean amount spent per day by families visiting Niagara Falls differs from the mean
reported by the American Automobile Association? Explain.

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