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A test of sobriety involves measuring the subject's motor skills. A sample of 36 randomly selected sober subjects take the test and produce a
A test of sobriety involves measuring the subject's motor skills. A sample of 36 randomly selected sober subjects take the test and produce a mean score of 85 with a standard deviation of 2.5. A claim is made that the true mean score for all sober subjects is less than 86. For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. (a) Calculate the value of the test statistic used in this test. Test statistic's value = (b) Use your calculator to find the P-value of this test. P-value= (c) Use your calculator to find the critical value(s) used to test this claim at the 0.02 significance level. If there are two critical values, then list them both with a comma between them. Critical value(s) =
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