Question
Asked Nov 18, 2019
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find the critical values for the following values of the significance level α, sample size n, and alternate hypothesis H1.

α = 0.01, n = 8, H1: μ ≠μ0

A). -2.326, 2.326          B). -3.499, 3.499         C). -3.355, 3.355     D). 2.998, 2.998

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Expert Answer

Step 1

Critical value:

         In hypothesis testing, critical value is defined as appoint on the test distribution that is compared to test statistic to determine whether to reject the null hypothesis.

Step 2

Given:

Level of significance (l.o.s) =0.01

n=8

Degrees of freedom (d.f) = (n-1) = (8-1) = 7

Alternative hypothesis is

From the given information ...

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Table eum prob one-tail wo-tails tsm 0.01 0.005 0.001 0.0005 0.50 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.002 0.001 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.000 0.000 0.000 1.000 0816 1376 3.078 1886 1638 1533 6.314 2.920 2.353 12.71 4303 3.182 31.82 6.965 6366 318.31 636.62 9.925 2.327 31.599 5841 10.215 1963 106 0.978 2 1.386 1.250 12.924 3 0765 4541 0.000 0741 0.941 1.190 2.132 2.776 3747 4.604 7.173 8.610 0727 1.156 0.000 0.920 1476 2.015 2571 3365 4.032 5.893 6.809 0.000 0.718 0.906 1.134 1.440 1.943 2.447 3.143 3707 5.208 5.959 5.408 5.041 4781 1.119 0.000 0711 0.896 1415 1.895 2.365 2998 3.499 4.785 0.000 0.706 0.889 0.883 0.879 0876 1.108 1.397 1383 1372 1.363 1.860 2.306 2806 3355 3250 4.501 0.000 0.000 0.000 0.000 0703 0.700 0697 1.100 1.093 1.088 1833 1812 1.796 1.782 2262 2228 2.201 2.179 2821 2764 2718 2681 4297 10 3.169 3106 4.144 4.587 4.437 4.025 11 12l 0695 0873 1.083 1.356 3.055 3.930 4.318

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