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= 512. 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 517 with a standard deviation of 110. 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 u= 512, H, u> 512 OB. Ho: <512, H;: u> 512 OC. Ho H=512, H, p#512 OD. Ho u> 512, H, u#512 (b) Test the hypothesis at the a= 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach. Find the test statistic. (Round to two decimal places as needed.) Find the P-value The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O No O Yes (c) Do you think that a mean math score of 517 versus 512 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
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= 512. 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 517 with a standard deviation of 110. 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 u= 512, H, u> 512 OB. Ho: <512, H;: u> 512 OC. Ho H=512, H, p#512 OD. Ho u> 512, H, u#512 (b) Test the hypothesis at the a= 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach. Find the test statistic. (Round to two decimal places as needed.) Find the P-value The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? O No O Yes (c) Do you think that a mean math score of 517 versus 512 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:(c) Do you think that a mean math score of 517 versus 512 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
No, because the score became only 0.98% greater.
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 517 and the sample standard deviation is still 110. Is a sample mean of 517 significantly more than 512? Conduct a hypothesis test using
the P-value approach.
Find the test statistic.
to =
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
Yes
No
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 p= 512. 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 517 with a standard deviation of 110. 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= 512, H,: µ> 512
O B. Ho: µ<512, H,: µ> 512
O C. Ho: H= 512, H, u512
O D. Ho: µ>512, H,: u512
(b) Test the hypothesis at the a= 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to =
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
Is the sample mean statistically significantly higher?
No
Yes
(c) Do you think that a mean math score of 517 versus 512 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?
Click to select your answer(s).
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