from the administrator of the exam, scores are normally distributed with u = 520. 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 526 with a standard deviation of 112. Complete parts (a) through (d) below. (d) Test the hypothesis at the oa = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 112. Is a sample mean of 526 significantly more than 520? 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Is the sample mean statistically significantly higher?
Yes
O No
What do you conclude about the impact of large samples on the P-value?
O A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.
B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.
C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.
D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant
differences.
Transcribed Image Text:Is the sample mean statistically significantly higher? Yes O No What do you conclude about the impact of large samples on the P-value? O A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. B. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. C. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.
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 = 520. 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 526 with a standard deviation of 112. Complete parts (a) through (d) below.
...
(d) Test the hypothesis at the a = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still
112. Is a sample mean of 526 significantly more than 520? 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.)
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 = 520. 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 526 with a standard deviation of 112. Complete parts (a) through (d) below. ... (d) Test the hypothesis at the a = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 112. Is a sample mean of 526 significantly more than 520? 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.)
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