A math teacher claims that she has developed a review course that increases the

Question

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 = 524. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 530 with a standard deviation of 117. Complete parts (a) through (d) below. State the null and alternative hypotheses. Let p be the mean score. Choose the correct answer below. Test the hypothesis at the alpha = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 524? Conduct a hypothesis test using the P-value approach. Find the test statistic. (Round to two decimal places as needed.)

Explanation / Answer

a) ans c) [H1 is to see if revies course increases scores of students in math portion of college entracnce)

b) t0=(xbar-mu)/(s/sqrt n)

=(530-524)/(117/sqrt 2000)

=2.29

p value at df=1999 is 0.0000.

The p value is less than alpha=0.10, reject H0 to cocnlude review course increases test scores of student sin math portion of collegeentrance exam.

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