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    Find critical value and test statistics for some t test questions

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    1.
    Find the critical value and rejection region for the type of t-test with level of significance α and sample size n.

    Right-tailed test, α = 0.1, n = 21
    t0 = 2.528; t > 2.528
    t0 = 1.323; t > 1.323
    t0 = 1.325; t > 1.325
    t0 = 1.325; t < 1.325

    4.
    Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.

    Claim μ > 33; α = 0.005. Sample statistics: = 34, s = 3, n = 25

    t0 = -2.797, standardized test statistic ≈ -1.667, fail to reject H0; There is not sufficient evidence to support the claim
    t0 = 2.797, standardized test statistic ≈ 1.667, reject H0; There is sufficient evidence to reject the claim
    t0 = 2.797, standardized test statistic ≈ 1.667, fail to reject H0; There is not sufficient evidence to support the claim
    5.
    Find the critical value and rejection region for the type of t-test with level of significance α and sample size n.
    Left-tailed test, α = 0.1, n = 22
    t0 = -2.518; t < -2.518
    t0 = -1.321; t < -1.321
    t0 = 1.323; t > 1.323
    t0 = -1.323; t < -1.323

    6.
    Find the critical value and rejection region for the type of t-test with level of significance α and sample size n.
    Two-tailed test, α = 0.1, n = 23
    t0 = -1.717, t0 = 1.717; t < -1.717, t > 1.717
    t0 = -1.321, t0 = 1.321; t < -1.321, t > 1.321
    t0 = -1.714, t0 = 1.714; t < -1.714, t > 1.714
    t0 = 1.717; t > 1.717
    7.
    Find the standardized test statistic t for a sample with n = 10, = 16.5, s = 1.3, and if Round your answer to three decimal places.
    -3.010
    -2.189
    -3.186
    -2.617
    8.
    Find the standardized test statistic t for a sample with n = 12, = 21.7, s = 2.1, and if Round your answer to three decimal places.
    -0.008
    -0.825
    -0.037
    -0.381
    9.
    Find the standardized test statistic t for a sample with n = 12, = 31.2, s = 2.2, and α = 0.01 if Round your answer to three decimal places.
    1.890
    2.132
    2.001
    1.991

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    https://brainmass.com/statistics/type-i-and-type-ii-errors/critical-value-test-statistics-test-questions-613746

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    1.
    Find the critical value and rejection region for the type of t-test with level of significance α and sample size n.

    Right-tailed test, α = 0.1, n = 21
    t0 = 2.528; t > 2.528
    t0 = 1.323; t > 1.323
    t0 = 1.325; t > 1.325
    t0 = 1.325; t < 1.325
    Just check t table, we find that to=1.325 and t>1.325 since right-tailed test.

    4.
    Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.

    Claim μ > 33; α = 0.005. Sample statistics: = 34, s = 3, n = 25

    t0 = -2.797, standardized test statistic ≈ -1.667, fail to ...

    Solution Summary

    The solution gives detailed steps on find critical value and test statistics for some t test questions.

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