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 -524. 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 530 with a standard deviation of 119. Complete parts (a) through (d) below. Yes, because every increase in score is practically significant. No, because the score became only 1.15% greater. d Test the hypothesis at the 10 level of significance with n-350 students. Assume that the sample mean is stili 53 mean of 530 significantly more than 524? Conduct a hypothesis test using the P-value approach Find the test statistic. and the sample standard e ations sti 119, sa sample (Round to two decimal places as needed.)

Explanation / Answer

Solution:

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

Test statistic t0 = (530-524)/(119/sqrt(1800)) =2.139
P-value = 0.0162
Sicnce, the p-value is greater than the given significance level 0.10, so we fail to reject the H0 and we cannot conclude that the sample mean is statistically significantly higher.
We conclude that larger sample size will affect on p-value

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