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=516.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 521 with a standard deviation of 116. Complete parts​ (a) through​ (d) below.

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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=516.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 521 with a standard deviation of 116. Complete parts​ (a) through​ (d) below.
 
 
 
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 521 statistically significantly higher than 516? Conduct a hypothesis test using the
P-value approach.
Find the test statistic.
to =0
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
the sample mean statistically significantly higher?
No
Yes
O O
Transcribed Image Text:(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 521 statistically significantly higher than 516? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) the sample mean statistically significantly higher? No Yes O O
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= 516. 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 521 with a standard deviation of 116. 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>516, H,: µ#516
B. Ho: H= 516, H,: µ>516
O C. Ho: H<516, H,: µ >516
D. Ho: H= 516, H,: µ#516
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= 516. 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 521 with a standard deviation of 116. 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>516, H,: µ#516 B. Ho: H= 516, H,: µ>516 O C. Ho: H<516, H,: µ >516 D. Ho: H= 516, H,: µ#516
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