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(Answers are given but could you please work through the problem and show me the steps?) Chapter...

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Basic Math

(Answers are given but could you please work through the problemand show me the steps?)

Chapter 8

A local health center noted that in a sample of 400 patients, 80were referred to them by the local hospital.

a.

Provide a 95% confidence interval for all the patients who arereferred to the health center by the hospital.

b.

What sample size would be required to estimate the proportion ofall hospital referrals to the health center with a margin of errorof .04 or less at 95% confidence?

ANSWER:  

​

a.

.1608 to .2392

b.

385

A simple random sample of 36 items resulted in a sample mean of40 and a standard deviation of 12. Construct a 95% confidenceinterval for the population mean.

ANSWER:  

35.94 to 44.06

Six hundred consumers belonging to the 25-34 age group wererandomly selected in a city and were asked whether they would liketo purchase a domestic or a foreign automobile. Their responses aregiven below.

Preference

Frequency

Domestic

240

Foreign

360

​

Develop a 95% confidence interval for the proportion of all suchconsumers who prefer to purchase domestic automobiles.

ANSWER:  

.3608 to .4392

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