Use the t-distribution to find a confidence interval for a difference in means u - Hz given the relevant sample results. Give the best estimate for 4, – H2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 95% confidence interval for 4, – H2 using the sample results X, = 5.7,s = 2.3, n = 11 andX2 = 4.5, s2 = 2.4, n2 = 8 Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = Margin of error = i Confidence interval : i to i

Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The  margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places

A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.

Use the given confidence interval to find the margin of error and the sample mean. (11.3,21.1) The sample mean is The margin of error is