You are a data analyst for a health insurance company and want to estimate the population mean of the surgery durations for all brain tumor patients. To do so, you select a random sample of 32 brain tumor surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all brain tumor surgeries is 1.68 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the surgery durations for all brain tumor patients. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients. Take Sample Number of patients Sample mean Sample standard deviation 32 3.54 1.33 Population standard deviation 1.68 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Based on your sample, enter the lower and upper limits to graph the 95% confidence interval for the population mean of the surgery durations for all brain tumor patients.

You measure 24 turtles' weights, and find they have a mean weight of 34 ounces. Assume the population standard deviation is 11.7 ounces. Based on this, construct a 95% confidence interval for the true population mean turtle weight.

magine that you conduct a study and estimate that the prevalence of hypertension among employees of a company. Your estimated prevalence is 24%. You also calculate a margin of error for a 95% confidence interval associated with this prevalence estimate of 3%.  What would be the 95% confidence interval for the prevalence calculated from this study?

You are conducting a study to estimate the mean height of students in a university. The university has 10,000 students. If you want to achieve a margin of error of no more than 2 inches with 95% confidence, what sample size should you select?

A small business wanted to estimate the mean income from their customers. They took a sample of 256 customers which yielded a sample mean of $71,250 with a standard deviation of $5,800 . What is the 90% confidence interval estimate for the population mean income of their customers.

Given this data: {4, 5, 8, 11, 16, 8},(a) Find the 90% confidence interval for the mean.(b) Interpret what does the interval mean?

You are interested in estimating the the mean weight of the local adult population of female white-tailed deer (doe). From past data, you estimate that the standard deviation of all adult female white-tailed deer in this region to be 22 pounds. What sample size would you need to in order to estimate the mean weight of all female white-tailed deer, with a 94% confidence level, to within 6 pounds of the actual weight?

construct a confidence interval for this data. You should construct a 95% confidence interval for this data. How you do this will depend on  whether your data is summarized using a mean or proportions. If you have categorical data, you will have to pick one of the categories and focus on a confidence interval for the proportion for that category, and you only need to do one for that one category. Please show the parts of your equation (point estimate, Z or T, and standard error) in addition to your final result.

You measure 27dogs' weights, and find they have a mean weight of 63 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, what is the maximal margin of error associated with a 95% confidence interval for the true population mean dog weight.

The Statistics Games are played by a large number of teams across the county. Teams raise money to cover expenses incurred by participating. You want to estimate the mean amount of money raised by teams. You take a random sample of 36 teams and find a mean of $375, with a standard deviation of $32. What critical value should you use for a 95% confidence interval?