You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: H2 40 H: H


You may need to use the appropriate technology to answer this question.<br>Consider the following hypothesis test.<br>Ho: H2 40<br>H: H< 40<br>A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01.<br>(a) x = 39 and s = 5.1<br>Find the value of the test statistic. (Round your answer to three decimal places.)<br>Find the p-value. (Round your answer to four decimal places.)<br>p-value =<br>State your conclusion.<br>O Reject H. There is Insufficient evidence to conclude thatu < 40.<br>O Do not reject Ho. There Is sufficlent evidence to conclude that u < 40.<br>O Reject Ho. There is sufficient evidence to conclude that u < 40.<br>O Do not reject Ho. There is insufficient evidence to conclude that u < 40.<br>(b) x = 38 and s = 4.5<br>Find the value of the test statistic. (Round your answer to three decimal places.)<br>Find the p-value. (Round your answer to four decimal places.)<br>p-value =<br>State your conclusion.<br>O Reject H. There is insufficient evidence to conclude that u < 40.<br>O Do not reject Ho. There is sufficient evidence to conclude that u < 40.<br>O Reject Ha. There is sufficient evidence to conclude that u < 40.<br>O Do not reject H. There is insufficient evidence to conclude that u < 40.<br>(c)<br>X = 41 ands = 4.0<br>Find the value of the test statistic.<br>Find the p-value. (Round your answer to four decimal places.)<br>p-value =<br>State your conclusion.<br>O Reject Ho. There is Insufficient evidence to conclude that u < 40.<br>O Do not reject Ho. There is sufficient evidence to conclude that u < 40.<br>O Reject H. There is sufficient evidence to conclude that H< 40.<br>O Do not reject Ho. There is Insufficient evidence to conclude that u < 40.<br>

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Jun 11, 2022
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