Every year, all incoming high school freshmen in a large school district take a math placement test. For this year's test, the district has prepared two possible versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 55 incoming freshmen to come to it offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 55 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 15.3. The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 17.5. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test score, H₁, for Version 1 is less than the mean test score, 2. for Version 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis H, and the alternative hypothesis H₂- H H₂:0 H₂:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the mean test score for Version 1 is less than the mean test score of Version 2? OYes No D |x S 8 0-0 050 020 X 000<0 0>0 ?
Every year, all incoming high school freshmen in a large school district take a math placement test. For this year's test, the district has prepared two possible versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 55 incoming freshmen to come to it offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 55 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 15.3. The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 17.5. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test score, H₁, for Version 1 is less than the mean test score, 2. for Version 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis H, and the alternative hypothesis H₂- H H₂:0 H₂:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the mean test score for Version 1 is less than the mean test score of Version 2? OYes No D |x S 8 0-0 050 020 X 000<0 0>0 ?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt