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The molting point of each of 13 samples of a certain brand of hydrogenated veget

ID: 3224696 • Letter: T

Question

The molting point of each of 13 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in x = 93. Assume that the distribution of melting point is normal with standard deviation sigma = 3.2. (a) Test H_0: mu = 95 versus H_1: mu notequalto 951 using a two-tailed test with a significance level of 0.02. Use the P-value approach. (b) If the test in part (a) had been a left-tailed test instead of two-tailed, would you be more likely or less likely to reject the null hypothesis. Explain.

Explanation / Answer

z = (93 - 95)/(3.2/sqrt(13))


critical z = +/- 2.58

Hence, computed z (-2.253) is within (-2.58, +2.58). so we Fail to reject Ho.

=-2.253
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