One-sample t statistic: practice

Statistics. Try each one, then open the answer. The Credit Sprint app generates unlimited new versions.

Item 1.

Test H₀: μ = 45. A sample of n = 49 gives x̄ = 44 and s = 6. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (44 − 45) ÷ (6/7) = -1.17.

Item 2.

Test H₀: μ = 40. A sample of n = 36 gives x̄ = 37 and s = 6. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (37 − 40) ÷ (6/6) = -3.

Item 3.

Test H₀: μ = 71. A sample of n = 16 gives x̄ = 70 and s = 10. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (70 − 71) ÷ (10/4) = -0.4.

Item 4.

Test H₀: μ = 71. A sample of n = 25 gives x̄ = 75 and s = 4. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (75 − 71) ÷ (4/5) = 5.

Item 5.

Test H₀: μ = 62. A sample of n = 16 gives x̄ = 65 and s = 4. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (65 − 62) ÷ (4/4) = 3.

Item 6.

Test H₀: μ = 69. A sample of n = 36 gives x̄ = 68 and s = 10. What is the t statistic? Round to 2 decimals.

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t = (x̄ − μ₀) ÷ (s/√n) = (68 − 69) ÷ (10/6) = -0.6.