SOLUTION: 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 sa
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Question 1109276: 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 is σ=100. Is the principal's claim valid? Use a level of significance of α=0.05.
A) Compute the test statistic for this analysis. Round your answer to 3 decimal places.
B) Determine the P-value based on the test statistic. Round your answer to 3 decimal places.
You can put this solution on YOUR website! Two way test to see if any different (one may argue in favor of a one way test, but this question sounds more like hoping it was better rather than knowing a priori it would be.)
usual assumptions or normality
z=test with critical value |z|>1.96
z=(xbar-mean)/sigma/sqrt(n)
z=24*sqrt(72)/100, inverting the denominator to multiply
z=2.036, the test statisitic
This has a p-value of 0.041, and is considered significant at the 0.05 level and supports the principal's claim.
