Question 10 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 u = 519.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 525 with a standard deviation of 110. Complete parts (a) through (d) below.(a) State the null and alternative hypotheses.Ho: H519, Н: и519>(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 519? Conduct a hypothesis test using the P-value approach.Find the test statistic.= 2.31(Round to two decimal places as needed.)Find the P-value.The P-value is 0.010.(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. No, because the P-value is greater than a = 0.10.C. Yes, because the P-value is greater than a = 0.10.D. Yes, because the P-value is less than a = 0.10.

Given information Hypothesized mean µ = 519 Sample size (n) = 1800 Mean x̅ = 525 Standard deviation…

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 u = 519. random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. The teacher obtains (a) State the null and alternative hypotheses. Họ: H = 519, H,: P > 519 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 519? Conduct a hypothesis test using the P-value approach. Find the test statistic. 6= 2.31 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.010. (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. No, because the P-value is greater than a = 0.10. C. Yes, because the P-value is greater than a = 0.10. D. Yes, because the P-value is less than a =0.10.