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 = 518. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 525 with a standard deviation of 111. Complete parts (a) through (d) below. O Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n= 350 students. Assume that the sample mean is still 525 and the sample standard deviation is still 111. Is a sample mean of 525 significantly more than 518? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 1.18 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three 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=518.The teacher obtains a random sample of 2000 ​students, puts them through the review​ class, and finds that the mean math score of the 2000 students is 525 with a standard deviation of 111. Complete parts​ (a) through​ (d) below.
 
 
 
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 withµ = 518. The teacher obtains a random sample of 2000 students, puts them through the review
class, and finds that the mean math score of the 2000 students is 525 with a standard deviation of 111. Complete parts (a) through (d) below.
Yes, because every increase in score is practically significant.
(d) Test the hypothesis at the a = 0.10 level of significance with n = 350 students. Assume that the sample mean is still 525 and the sample standard deviation is still
111. Is a sample mean of 525 significantly more than 518? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to
= 1.18
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three 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 withµ = 518. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 525 with a standard deviation of 111. Complete parts (a) through (d) below. Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n = 350 students. Assume that the sample mean is still 525 and the sample standard deviation is still 111. Is a sample mean of 525 significantly more than 518? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = 1.18 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.)
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