OP /Student PlayerTe aspx testid 5769274 oone Login I Unit Hypotheses Testing-M
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OP /Student PlayerTe aspx testid 5769274 oone Login I Unit Hypotheses Testing-M Take a Test-Lee ong x C The Manufacturer of A Certain.. dvorites. Lee XIong & I 4/20/17 6:58 PM MAT 220.3 Statistics IDMoD4 ONLINE (36 3Di1701 Test: POST UNIT 7 TEST Ch. 10 Submit Tesl 10 of 10 (5 complete) v This Test: 10 pts possible This Question 1 pt Question Help of the exam, scores are ally distributed with 521. The teacher tains a nom A math eacher claim at she has developed a review course that increases t e scores of students on the math portion of a college entrance exam. Based on dat from the administrat random sample of 1800 students, puts them through the review class, end finds that the mean math score of the 1800 students is 526 with a standard deviation of 110. Complete parts (a) through (dy below. (a) State the null and altemative hypotheses. Let F be the mean score. Choose the correct answer below. O A. Ho: H S21, H 52 O B. Ho: 521. H1: w 521 O C. Ho: 521, H1 52 O D. Ho: S21. H 52 (b) Test the hypothesis at the a 0.10 level of significance, a mean math of 526 statistically significantly high than 521? Conduct a hypothesis test using the P-value appraach Find the test statistic. (Round to two decimal places as needed.) Find the P-v The P-value is (Round to three decimal places as needed ls the sample mean ly significan higher? O Yes Click to select your answer(s). 100% 3:53 PM & e e 4/20/2017Explanation / Answer
Solution:
(a) B. Ho: = 521, H1: > 521
(b) b. Test the hypothesis at the a = 0.10 level of significance.
The test statistic is
t0 =(xbar-)/(s/n)
=(526-521)/(110/sqrt(1800))
= 1.93
The p-value is P(Z>1.93)=0.0268 (check standard normal table)
Since the p-value is less than 0.10, we reject Ho.
Yes, because every increase in score is practically significant.
(d) The test statistic is
t0 =(xbar-)/(s/n)
=(526-521)/(110/sqrt(350))
= 0.85
The p-value is P(Z>0.85)= 0.1977
Since the p-value is greater than 0.10, we accept Ho.
Is the sample mean statistically significantly higher?
No
What do you conclude about the impact of large samples on the P-value ?
D. As n increases, the likelihood of rejecting the null hypothesis increases. However , large samples tend to overemphasize practically significant differences.
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