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 μ = 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.(a) State the null and alternative hypotheses.- $ H_0: \mu = 520 $- $ H_1: \mu > 520 $(b) Test the hypothesis at the $ \alpha = 0.10 $ level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach.Find the test statistic.- $ t_0 = 2.47 $ (Round to two decimal places as needed.)Find the P-value.- The P-value is $ 0.007 $ (Round to three decimal places as needed.)Is the sample mean statistically significantly higher?- A. Yes, because the P-value is less than $ \alpha = 0.10 $.- B. No, because the P-value is greater than $ \alpha = 0.10 $.- C. No, because the P-value is less than $ \alpha = 0.10 $.- D. Yes, because the P-value is greater than $ \alpha = 0.10 $.Correct Answer: A. Yes, because the P-value is less than $ \alpha = 0.10 $.

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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 = 520. The teacher obtains random sample f 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. (a) State the null and alternative hypotheses. Ho: H 520, H: > 520 (b) Test the hypothesis at the a= 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. 6 = 2.47 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.007. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O A. Yes, because the P-value is less than a = 0.10. O B. No, because the P-value is greater than a =0.10. O C. No, because the P-value is less than a = 0.10. O D. Yes, because the P-value is greater than a = 0.10.