(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to 0 %3D (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 u = 523.
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 530 with a standard deviation of 116. Complete parts (a) through (d) below.
Question Help ▼
E Click the icon to view the t-Distribution Area in the Right Tail.
(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.
YA. Ho: H= 523, H4: µ> 523
O B. Ho: H> 523, H,: u#523
OC. Ho: H<523, H,: u> 523
O D. Ho: H= 523, H,: u#523
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(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
to 0
%3D
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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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 = 523. 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 530 with a standard deviation of 116. Complete parts (a) through (d) below. Question Help ▼ E Click the icon to view the t-Distribution Area in the Right Tail. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. YA. Ho: H= 523, H4: µ> 523 O B. Ho: H> 523, H,: u#523 OC. Ho: H<523, H,: u> 523 O D. Ho: H= 523, H,: u#523 Question Viewer (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 530 statistically significantly higher than 523? Conduct a hypothesis test using the P-value approach. Find the test statistic. to 0 %3D (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts (remaining Clear All Check Answer MacBook Air DII 888 F7 esc F4 FS F1 F2 F3 ! @ 23 2$ delet -A 4 6 8. 1 P Y Q W E tab 11 K G caps lock く B N M レビ しの つ エ LL の
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