SOLUTION: 10.3.31 A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the

Question 1077935: 10.3.31
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with
mu equals μ=52. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the
1800 students is 52 with a standard deviation of 117.
a) Test the hypothesis at the α=0.10 level of significance. Is a mean math score of 529 statistically significantly higher than
522? Conduct a hypothesis test using the P-value approach.
what is the test statistic? t0=????
what is the p value? P=???

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Please check the values used. Mean of 52 is Ho, but mean of the score of the math students is 52 with a sd of 117 seems odd. First, if the sample mean is 52, the null hypothesis can't be rejected, and second, a sd of 117 would not fit with typical ranges of 0-100 math scores. Third, a mean math score of 529 and 522 is not clear.
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