A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 200 students in evening classes and finds that they have a mean test score of 79.5 He knows the population standard deviation for the evening classes to be 6.26 points. A random sample of 250 students from morning classes results in a mean test score of 80.7. He knows the population standard deviation for the morning classes to be 4.1 points. Test his claim with a 98% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 200 students in evening classes and finds that they have a mean test score of 79.5 He knows the population standard deviation for the evening classes to be 6.26 points. A random sample of 250 students from morning classes results in a mean test score of 80.7. He knows the population standard deviation for the morning classes to be 4.1 points. Test his claim with a 98% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
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
Related questions
Question
A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 200 students in evening classes and finds that they have a mean test score of 79.5 He knows the population standard deviation for the evening classes to be 6.26 points. A random sample of 250 students from morning classes results in a mean test score of 80.7. He knows the population standard deviation for the morning classes to be 4.1 points. Test his claim with a 98% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2.
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2
H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2
Step 2 of 3:
Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill