Assuming the population has an approximate normal distribution, if a sample size �=12 has a sample mean �¯=36 with a sample standard deviation �=9, find the margin of error at a 98% confidence level. Round the answer to two decimal places.

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 99% confidence interval for p given that p = 0.33 and n = 550. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.

Solve for B which reads assume prior studies have shown that about 45% of full-time students are in bachelors degree and four years or less. n=

Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 62.5 and a standard deviation of 9.6 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. =

Assume that distances people driving to work are normally distributed. In a random sample of five people, the mean driving distance to work was 23 miles and the standard deviation was 6 miles. What is the length of the 95% confidence interval for the mean driving distance to work. Round to the nearest mile.

A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9°F and a standard deviation of 0.63°F. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body​ temperature?   Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING...       Question content area bottom Part 1 What is the confidence interval estimate of the population mean μ​?   enter your response here°F<μ<enter your response here°F ​(Round to three decimal places as​ needed.)

form a confidence interval for mean, proportion, and standard deviation.

You would like to make an interval estimate of a population mean from a sample of size 25. Assume the population standard deviation is 6. Assuming 98% Confidence, what is the margin for error for the estimate.