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14 August, 21:05

The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°f. past experience has indicated that the (population) standard deviation of temperature is 2°f. the water temperature is measured on nine randomly chosen days, and the average temperature is found to be 98°f. if you were to do a hypothesis test using the data from this problem to test the hypothesis that the population mean temperature is 97 degrees f, which test statistic would you need to use?

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  1. 14 August, 21:25
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    Actually in this case we will make use of the z test statistic. In which we calculate for the z score and then use the standard normal distribution tables to find for the P value at the calculate z score.

    z = (x - u) / s

    z = (97 - 98) / 2

    z = - 0.5

    The z value should be greater than 1.65 to for the null hypothesis to be accepted. Hence rejected.
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