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The national mean SAT score in math is 550. Suppose a high school principal claims that the mean SAT score in math at his school is better than the national mean score. A random sample of 72 students finds a mean score of 574. Assume that the population standard deviation = 100. Is the principal's claim valid? Use a level of significance as a= 0.05.
State the null and alternative hypotheses. ______
Compute the test statistic for this analysis. (Round to three decimal places) ______
Determine the P-value based on the test statistic. (Round to three decimal places) ______
Based on the P-value and ?the level of significance, do we reject the null hypothesis or fail to reject the null hypothesis? ______
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