A sample of 25 two-year-old chickens shows that they lay an average of 21 eggs per month. The standard deviation of the sample was 2 eggs. Find the 99% confidence interval of the true mean.

The average height of students at a university from an SRS of 14 students gave a standard deviation of 2.5 feet. Construct a 95% confidence interval for the standard deviation of the height of students at the university. Assume normality for the data.

Scores on a standarized exam are known to follow a normal distribution with a standard deviation of 5. A researcher finds a random sample of 25 exam scores has a mean score of 72. Use this to find a 88% confidence interval for the mean exam score of all students taking the exam.

A recent study of 28 randomly selected employees of a company showed that the mean ofdistance they traveled to work was 14.3 miles. The standard deviation of the sample was 2.0miles. Find the 95% confidence interval of the true mean.

In a random sample of 2500 men being treated for obesity, the mean total cholesterol level is 175 with a standard deviation of 25.       Construct a 95% confidence interval around the mean and interpret it. Use the context of the question please.

Suppose a random sample of 50 baksetball players showed the average height to be 78 inches. Also assume that the population standard deviation is 1.5 inches. Find 99% confidence interval for the population mean height.

For a group of 20 students taking a PSDTF test, the mean heart rate was 96 beats per minute, and the standard deviation was 5. Find the 95% confidence interval of the true mean.

A study of 40 men on probation showed that their average number of days remained stayed on probation was 186. The standard deviation of the population is 6. Find the 95% confidence interval of the mean number of days men remained on probation. Find the 95% confidence interval of the mean number of days men remained on probation if a sample of 100 probationers is used instead of a sample of 40. Which interval is smaller? Explain why.

A sample of 36 corn plants represent the height of corn in a corn field. The sample mean of corn height is 68 cm. If the population standard deviation is 3 cm, find a 99% confidence interval for the true mean height of corn.

A sample of 30 NBA players had a sample mean of their heights as 80.5 inches. If the standard deviation of the population of NBA players is 3.5 inches, find a 90% confidence interval for the average height of all NBA players.