Suppose that ACT scores in a particular state are normally distributed with a mean of 21.5 points with a standard deviat

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Suppose That Act Scores In A Particular State Are Normally Distributed With A Mean Of 21 5 Points With A Standard Deviat 1 (28.69 KiB) Viewed 77 times

Suppose that ACT scores in a particular state are normally distributed with a mean of 21.5 points with a standard deviation of 4.7 points. A student at Wright High School thinks the mean ACT score of seniors at her school is less than 21.5, but she is willing to assume that the distribution of scores in her school is normal with a standard deviation of er = 4.7 points, the same as in the general population, She randomly surveys 105 seniors and calculates the mean ACT score in the simple to be 20.1 points. The output of the survey is summarized below, where the value of the onc-sample z-statistic is 3.052 standard deviations below the mean. Test of u = 21.5 vs p < 21.5 The assumed standard deviation = 4.7 N Mean SE Mean Z 105 20.1 0.459 --3.052 Use software to determine the P-value of the z-statistic. Give your answer as a decimal precise to at least four decimal places. P=