Hypothesis tests & confidence intervals worksheet with answers

Free printable Hypothesis tests & confidence intervals worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
−1.031.03p = ?

A z test of H₀: μ = μ₀ against H₁: μ ≠ μ₀ gives the test statistic z = −1.03. Find the p-value p.

z = −1.03H₁: μ ≠ μ₀
p =
2.Easy
−1.9601.96z = ?

A company claims that a proportion of 0.5 of its customers are satisfied. In a random survey of 250 customers, 146 say they are satisfied. Find the test statistic z for H₀: p = 0.5.

p₀ = 0.5n = 250x = 146
z =
3.Medium
t −1.99801.998

A sample of 64 students has a mean score of 75.6 and a sample standard deviation of 4. Find the test statistic t for H₀: μ = 75.

μ₀ = 75x̄ = 75.6s = 4n = 64
t =
4.Medium
−2.4472.447t = ?df = 6

7 employees take a typing test before and after a training course. For each person the difference d = after − before (words per minute) is recorded. The mean difference is 4.63 and the standard deviation of the differences is 3.6. Find the paired test statistic t for H₀: μd = 0.

n = 7d̄ = 4.63sd = 3.6
t =
5.Hard
z −1.9601.96

A sample of 16 measurements has mean 121.9. The population standard deviation is 4. Find the upper limit U of the 95% confidence interval for the mean.

x̄ = 121.9σ = 4n = 1695%
U =
6.Hard
z −2.57602.576

A sample of 16 measurements has mean 55.1. The population standard deviation is 12. Find the upper limit U of the 99% confidence interval for the mean.

x̄ = 55.1σ = 12n = 1699%
U =

Answer key

  1. 1. p = 0.303
  2. 2. z = 2.656
  3. 3. t = 1.2
  4. 4. t = 3.403
  5. 5. U = 123.9
  6. 6. U = 62.83

Full step-by-step solutions: practise this topic on examproblems.com.