Question

Suppose a random sample of 50 basketball players have an average height of 78 inches. Also...

Suppose a random sample of 50 basketball players have an average height of 78 inches. Also assume that the population standard deviation is 1.5 inches.

a) Find a 99% confidence interval for the population mean height.

b) Find a 95% confidence interval for the population mean height.

c) Find a 90% confidence interval for the population mean height.

d) Find an 80% confidence interval for the population mean height.

e) What do you notice about the length of the confidence interval as the confidence level goes down? If you used a confidence level of 70%, would you expect the confidence interval to be longer or shorter than that of 80%?

f) What is the 70% confidence interval?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
#2. A random sample of 25 professional basketball players shows a mean height of 6 feet,...
#2. A random sample of 25 professional basketball players shows a mean height of 6 feet, 5 inches with a 95% confidence interval of 0.4 inches. Explain what this indicates. If the sample were smaller, would the confidence interval become smaller or larger? Explain. If you wanted a higher level of confidence (99%) would the confidence interval become smaller or larger? Explain.
In a random sample of 100 basketball players, the average vertical jump was 38 inches. Suppose...
In a random sample of 100 basketball players, the average vertical jump was 38 inches. Suppose the standard deviation for all basketball players’ vertical jumps is 10 inches. a. Determine a 95% confidence interval for the average vertical jump and determine the margin of error. b. Interpret your result. c. If you want a margin of error of only 1 inch in the 95% confidence interval, determine the number of basketball players you would need to sample. show all work
The population standard deviation for the height of college basketball players is 3.1 inches. If we...
The population standard deviation for the height of college basketball players is 3.1 inches. If we want to estimate 99% confidence interval for the population mean height of these players with a 0.58 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number)
The population standard deviation for the height of college basketball players is 3 inches. If we...
The population standard deviation for the height of college basketball players is 3 inches. If we want to estimate 99% confidence interval for the population mean height of these players with a 0.7 margin of error, how many randomly selected players must be surveyed?  (Round up your answer to nearest whole number)
The population standard deviation for the height of college basketball players is 2.9 inches. If we...
The population standard deviation for the height of college basketball players is 2.9 inches. If we want to estimate 92% confidence interval for the population mean height of these players with a 0.6 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number)
A randomly selected sample of college basketball players has the following heights in inches. 65, 62,...
A randomly selected sample of college basketball players has the following heights in inches. 65, 62, 64, 61, 68, 61, 63, 70, 66, 71, 65, 62, 61, 66, 69, 71, 69, 67, 65, 65, 65, 71, 67, 63, 71, 67, 68, 63, 66, 70, 69, 64 Compute a 99% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately. < μ < (Keep 3 decimal places)
A randomly selected sample of college basketball players has the following heights in inches. 65, 63,...
A randomly selected sample of college basketball players has the following heights in inches. 65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67, 61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61 Compute a 95% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately. ___ < μ < ___ (Keep 3 decimal places)
Using the following scores which measure the height of University of Nevada basketball players in inches,...
Using the following scores which measure the height of University of Nevada basketball players in inches, answer the questions that follow. 64, 68, 68, 68, 68, 70, 70, 70, 70, 71, 71, 71, 72, 73, 73, 73, 78, 80, 82 What is the median player height? What is the range of heights in this group? What is the mode?
The heights of five starting players on a basketball team have a mean of 76 inches,...
The heights of five starting players on a basketball team have a mean of 76 inches, a median of 78 inches, and a range of 11 inches. a. If the tallest of these five players is replaced by a substitute who is 2inches taller, find the mean, median, and range b. If the tallest player is replaced by a substitute who is 4 inches shorter, which of the new values (mean, median, range) could you determine and what would their...
A sample of 45 pro football players had an average height of 6.179ft with a sample...
A sample of 45 pro football players had an average height of 6.179ft with a sample standard deviation of 0.366ft and a sample of 40 pro basketball players had a mean height of 6.453ft with a sample standard deviation of 0.314ft. If mu1 is the mean height for all football players and mu2 is the mean height of all basketball players, find a 90% confidence interval for mu1 - mu2. Interpret the confidence interval in the context of the problem.