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# -Use the given degree of confidence and sample data to construct

a confidence interval for the population mean μ. Assume that the population has a normal distribution.

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 227 milligrams with s = 18.4 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

215.4 mg &lt; μ &lt; 238.6 mg

215.3 mg &lt; μ &lt; 238.7 mg

217.5 mg &lt; μ &lt; 236.5 mg

215.2 mg &lt; μ &lt; 238.8 mg

2.Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.

When 307 college students are randomly selected and surveyed, it is found that 128 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.

0.351 &lt; p &lt; 0.483

0.371 &lt; p &lt; 0.463

0.344 &lt; p &lt; 0.489

0.362 &lt; p &lt; 0.472

3.Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean.

Test scores: n = 99, x? = 77.0, σ = 7.5; 99% confidence

75.8 &lt; μ &lt; 78.2

75.1 &lt; μ &lt; 78.9

75.5 &lt; μ &lt; 78.5

75.2 &lt; μ &lt; 78.8