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 = 514. 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 520 with a standard deviation of 113. 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. Ho: µ> 514, H,: µ#514 Ο Β. Ho: μ < 514, H1: μ > 514 O c. Ho: μ= 514, Η1 : μ#514 D. Ho: H= 514, H,: µ > 514 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.)

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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 µ = 514. 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 520 with a standard deviation of 113. Complete parts (a) through (d) below.
(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.
A. Ho: µ> 514, H1: µ #514
B. Ho: μ< 514, Η : μ> 514
C. Ho: µ= 514, H:µ#514
D. Ho: H=514, H:µ>514
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the
P-value approach.
Find the test statistic.
to =
(Round to two decimal places as needed.)
Transcribed Image Text: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 = 514. 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 520 with a standard deviation of 113. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. A. Ho: µ> 514, H1: µ #514 B. Ho: μ< 514, Η : μ> 514 C. Ho: µ= 514, H:µ#514 D. Ho: H=514, H:µ>514 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 520 statistically significantly higher than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.)
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