Question

In: Statistics and Probability

A data set includes data from student evaluations of courses. The summary statistics are n=85, x...

A data set includes data from student evaluations of courses. The summary statistics are n=85, x =3.41 , s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?

Solutions

Expert Solution

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 3.50

Ha :    3.50

= 3.41

= 3.50

s = 0.61

n = 85

Test statistic = z

= ( - ) / s / n

= (3.41 - 3.50) / 0.61 / 85

= -1.36

Test statistic = -1.36

P(z < -1.36) = 0.0869

P-value = 2 * 0.0869 = 0.1738

= 0.05

P-value >

Fail to reject the null hypothesis .

There is not enough evidence to suggest that the population of student course evaluations has a mean equal to 3.50 .   


Related Solutions

A data set includes data from student evaluations of courses. The summary statistics are n=85, x...
A data set includes data from student evaluations of courses. The summary statistics are n=85, x =3.41 , s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
A data set includes data from student evaluations of courses. The summary statistics are n =...
A data set includes data from student evaluations of courses. The summary statistics are n = 84, x = 3.35, s = 0.58. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a sample random sample has been selected. a. Identify the null hypotheses and alternate hypotheses. addresses the original claim. Ho: H1: b. Find the test statistics equation and value. c. Find the P...
A data set includes data from student evaluations of courses. The summary statistics are n=93​, x...
A data set includes data from student evaluations of courses. The summary statistics are n=93​, x overbar equals=4.08  sequals=0.65. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25 Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n=80​, x...
A data set includes data from student evaluations of courses. The summary statistics are n=80​, x overbar =4.39​, s =2.29. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n=96​, x...
A data set includes data from student evaluations of courses. The summary statistics are n=96​, x overbarx=3.91​, s=0.66 Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n=88​, x=4.07​,...
A data set includes data from student evaluations of courses. The summary statistics are n=88​, x=4.07​, s=0.53. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses?
A data set includes data from student evaluations of courses. The summary statistics are n=87 x=3.42...
A data set includes data from student evaluations of courses. The summary statistics are n=87 x=3.42 s=0.640 Use a 0.010 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50 Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics aren=88​, overbar x=4.08​,...
A data set includes data from student evaluations of courses. The summary statistics aren=88​, overbar x=4.08​, s=0.67. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. H0​: μ≠4.25 and H1​: μ=4.25...
A data set includes data from student evaluations of courses.
A data set includes data from student evaluations of courses. The summary statistics are n = 89, x̅= 3.34, s=0.51. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claimWhat are the null and alternative hypotheses?Determine the test statistic (Round...
5 A data set lists earthquake depths. The summary statistics are n = 600, ¯ x...
5 A data set lists earthquake depths. The summary statistics are n = 600, ¯ x = 4.66 km, s = 4.42 km.Usea0.01significanceleveltotesttheclaimof a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT