Question 1078064: 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
μ=522. 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
529 with a standard deviation of
113. Complete parts (a) through (d) below.
The part I'm having problems with is b, it states: Test the hypothesis at the
alpha equals
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
t0=???
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! given the assumptions of normality and random sampling,etc.
test statistic is strictly speaking a t, but with df=1799, a z may be used.
if a one way test, the critical value of z is z>1.28
z=(529-522)/113/sqrt(1800)=7*sqrt(1800)/113
2.628
This is greater than the critical value so reject Ho with p-value (calculator) or 0.004 or from table p<0.005.
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