# Given the following hypotheses: H0: μ ≤ 13H1: μ > 13 A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.6. Using the 0.05 significance level:a) State the decision rule. (Round your answer to 3 decimal places.)State the decision rule________________b) Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answer to 3 decimal places.)Value of the test statistic ___________________

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Given the following hypotheses:

H0: μ ≤ 13

H1: μ > 13

A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.6. Using the 0.05 significance level:

a) State the decision rule. (Round your answer to 3 decimal places.)

State the decision rule________________

b) Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic ___________________

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Step 1 help_outlineImage Transcriptioncloseа. Decision Rule: Reject the null hypothesis (H) when the calculated test statistic value is greater than or equal to the critical value. Otherwise, do not reject the null hypothesis. That is, by using the t-distribution table, at a as 0.05, df as 9 and one tailed test. cum. prob one-tail two-tails df t75 t so 0.50 0.25 0.20 0.15 0.10 0.05 0.20 1.00 0.50 0.40 0.30 0.10 0.000 1 1.000 1.376 1.963 3.078 6.314 2 3 0.816 0.765 0.000 1.061 0.978 0.941 1.386 1.250 1.190 1.886 2.920 2.353 2.132 1.638 0.000 0.000 0.741 1.533 0.000 0.727 0.920 1.156 1.476 2.015 6 7 8 9 10 0.000 0.000 0.000 0.718 0.711 0.906 0.896 0.889 1.134 1.943 1.440 1.119 1.415 1.895 1.860 1.108 0.706 1.397 0.000 0.703 0.700 0.883 1.100 1.383 1.833 0.879 0.000 1.093 1.372 1.812 Reject H when t 21.833 LO CO N CO fullscreen

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