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Mathematics, 17.12.2019 01:31, eggg65
Amath teacher claims that she has developed a review course that increases the score of students on the math portion of a college entrance exam. based on the data from the administrator of the exam, scores are normally distributed with u=514. 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 is 520 with a standard deviation of 119. a. state the null and alternative hypotheses. b. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find p-value. is the sample statistic significantly higher? c. do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance? d. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?
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