I want to ensure I am understanding this question fully Amath teacher claims that she has...

Question:

I want to ensure I am understanding this question fully

Amath 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 p=512. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 518 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below O A. Hop=512. H: 512 B. Hop=512. H,:> 512 OC. How >512, H, 512 OD. Hou <512, H, >512 (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 518 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach Find the test statistic to = 2.56 (Round to two decimal places as needed.) Find the P-value More
The P-value is 0.005 (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O No O Yes (c) Do you think that a mean math score of 518 versus 512 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practic significance? ificant Yes, because every increase in score is practically No, because the score became only 1.17% greater. O
SIMUH JIS IS JT6 WIN SIII | | UUV|||UTU LU| | | |-- Đd| 5 || || UUD| JJ DJ|U. (d) Test the hypothesis at the a=0.10 level of significance with n=375 students. Assume that the sample mean is still 518 and the sample standard deviation is still 110. is a sample mean of 518 significantly more than 5127 Conduct a hypothesis test using the P-value approach Find the test statistic to = 1.06 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.146 (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O No © Yes
What do you conclude about the impact of large samples on the P-value?! O A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. O B. As n increases, the likelihood of not rejecting the n. ypothesis increases. However, large samples tend to overemphasize practically significant differences O C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences O D. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences

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