1Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.

99% confidence; the sample size is 1110, of which 45% are successes

2Provide an appropriate response.

The distribution of Master's degrees conferred by a university is listed in the table.

Assume that a student majors in only one subject.

MAJOR

Mathematic.......224

English.....200

Engineering...86

Business...176

Education....22

What is the probability that a randomly selected student with a Master's degree majored in English or Mathematics? Round your answer to three decimal places.

3Find the indicated probability.

The brand name of a certain chain of coffee shops has a 50% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 9 Coffleton residents. Find the probability that the number that recognize the brand name is not 4.

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation . Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place than is used for the original set of data.

The daily intakes of milk (in ounces) for ten randomly selected people were:

23.3 28.4 10.5 16.4 26.4

18.1 20.4 17.3 27.4 13.2

Find a 99% confidence interval for the population standard deviation .

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation . Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.

Weights of eggs: 95% confidence; n = 22,x= 1.65 oz, s = 0.47 oz