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 112. Complete parts (a) through (d) below. (d) Test the hypothesis at the a = 0.10 level of significance with n= 375 students. Assume that the sample mean is still 520 and the sample standard deviation is still 112. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic.

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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 = 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 112. Complete parts (a) through (d) below.
(d) Test the hypothesis at the a = 0.10 level of significance with n= 375 students. Assume that the sample mean is still 520 and the
sample standard deviation is still 112. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis test using the
P-value approach.
Find the test statistic.
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 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 112. Complete parts (a) through (d) below. (d) Test the hypothesis at the a = 0.10 level of significance with n= 375 students. Assume that the sample mean is still 520 and the sample standard deviation is still 112. Is a sample mean of 520 significantly more than 514? Conduct a hypothesis test using the P-value approach. Find the test statistic.
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