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 p = 520 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 526 with a standard deviation of 114. Complete parts (a) through (d) below. (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 114. Is a sample mean of 526 significantly more than 520? Conduct a hypothes test using the P-value approach. Find the test statistic. 6 = 1.05 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.147. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? A. No, because the P-value is less than a = 0.10. B. Yes, because the P-value is less than a = 0.10. C. No, because the P-value is greater than a = 0.10. D. Yes, because the P-value is greater than a = 0.10. What do you conclude about the impact of large samples on the P-value? A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.

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