Statistics worksheets
Statistics worksheets give students in Probability & Statistics focused practice in statistics. This page has 1 free printable sets, grouped by grade, and every set includes a computed answer key that is never wrong. Print them or save as a PDF, no login needed.
What's inside
- The claimed mean of the fill volume of a bottling machine (mL) is 500, with known population standard deviation 6. A random sample of n = 36 gives sample mean 496.1. Test H0: mu = 500 against Ha: mu not equal to 500 at significance level alpha = 0.05. Give the z test statistic (2 dp), the p-value (4 dp), and the decision.
- The claimed mean of the fuel economy of a car model (km/L) is 16. The population standard deviation is unknown; a random sample of n = 20 gives sample mean 17.7 and sample standard deviation 1.6. Test H0: mu = 16 against Ha: mu not equal to 16 at alpha = 0.05 using the t-distribution with df = 19. Give the t test statistic (2 dp), the critical value, and the decision.
- The claimed mean of the daily output of a solar panel model (kWh) is 24, with known population standard deviation 3. A random sample of n = 49 gives sample mean 24.7. Test H0: mu = 24 against Ha: mu not equal to 24 at significance level alpha = 0.05. Give the z test statistic (2 dp), the p-value (4 dp), and the decision.
- The claimed mean of the fuel economy of a car model (km/L) is 16. The population standard deviation is unknown; a random sample of n = 12 gives sample mean 15.9 and sample standard deviation 1.5. Test H0: mu = 16 against Ha: mu not equal to 16 at alpha = 0.05 using the t-distribution with df = 11. Give the t test statistic (2 dp), the critical value, and the decision.
- The claimed mean of the reaction time of trained operators (ms) is 250, with known population standard deviation 15. A random sample of n = 36 gives sample mean 250. Test H0: mu = 250 against Ha: mu less than 250 at significance level alpha = 0.05. Give the z test statistic (2 dp), the p-value (4 dp), and the decision.
- The claimed mean of the battery life of a laptop model (hours) is 10. The population standard deviation is unknown; a random sample of n = 16 gives sample mean 9.9 and sample standard deviation 1.3. Test H0: mu = 10 against Ha: mu not equal to 10 at alpha = 0.01 using the t-distribution with df = 15. Give the t test statistic (2 dp), the critical value, and the decision.
Sample questions. Each set (A, B, C…) has fresh numbers and a computed answer key.
Probability & Statistics Statistics
Frequently asked questions
Are these statistics worksheets free?
Yes. Every worksheet on ChalkBee is free to view and print or save as a PDF, with no login required, and the answer key is free too. Pro removes the watermark and adds differentiated sets, worksheet packs and unlimited custom generation.
Do the worksheets have answer keys?
Yes, free, on every sheet. The answers are computed in code from the exact questions on the page, and the key prints on a page of its own so the student sheet stays clean.
What grades do statistics worksheets cover?
Statistics worksheets on this page cover Probability & Statistics. There are 1 printable sets in total, grouped by grade so you can pick the right level.
How do I print or download them?
Open any set, then use your browser's print option to print it or to save it as a PDF. The pages are laid out to print cleanly on standard letter or A4 paper.