1.Construct a 99% confidence interval estimate for the population mean given the values below.

x overbar=250

=54

n=241

The 99% confidence interval for the population mean is from ??????to ??????.

2.A random sample of size 180 taken from a population yields a proportion equal to 0.36.

Complete parts a through d below.

a. Determine if the sample size is large enough so that the sampling distribution can be approximated by a normal distribution.

Since np= ???? and n(1p)=??????, the sample size (is or is not) large enough.

(Round to the nearest whole number as needed.)

b. Construct a 99% confidence interval for the population proportion.

?????????????

(Round to three decimal places as needed. Use ascendingorder.)

c. Interpret the confidence interval calculated in part b.

Which statement below correctly interprets the confidenceinterval?

A.There is a 0.99 probability that the sample proportion is in the interval.

B.There is 99% confidence that the population proportion is in the interval.

C.There is a 0.99 probability that the population proportion is in the interval.

D.Of all the possible population proportions, 99% are in the interval.

d. Produce the margin of error associated with this confidence interval.

e=?????

(Round to three decimal places as needed.)

3.A survey of 457 women revealed that 31% wear flat shoes to work. a. Use this sample information to develop a 99% confidence interval for the population proportion of women who wear flat shoes to work. b. Suppose that the people who administered this survey now wish to estimate the proportion of women who wear athletic shoes to work with a margin of error of 0.01 with 95% confidence. Determine the sample size required.

a. ?????<=p<= ????? (Round to three decimal places asneeded.)

b. n=??????(Round up to the nearest wholenumber.)

4.A website tracks advanced registrations and performance by high school students. In a recent year, of the students who took the microeconomics test, 35% passed. In an attempt to determine if the proportion of those passing the advanced math and science is equal to the 35% success rate for microeconomics, a random sample of 250 students enrolled in advanced math and science classes has been selected. Complete parts a and b below.

a. If 28 of the students in the sample passed at least one advanced math or science , calculate the proportion of those students who passed at least one math or science. Does this statistic indicate that the proportion of students who passed at least one advanced math or science is less than the 35% success rate for microeconomics? Support your assertion.

The proportion of those students who passed at least one math or science is ??????.

(Round to three decimal places as needed.)

Does this statistic indicate that the proportion of students who passed at least one advanced math or science is less than the 35% success rate for microeconomics? Support your assertion.

A. No, because the sample proportion is greater than 0.35.

B.No, because the sample proportion is less than 0.35.

C.Yes, because the sample proportion is less than 0.35.

D.Yes, because the sample proportion is greater than 0.35.

b. Calculate a 99% confidence interval for the proportion of those students who passed at least one advanced math or science.

The 99% confidence interval estimate is??????? ------??????.

(Round to three decimal places as needed. Use ascendingorder.)