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Based on the P-value shown in the picture do you reject or fail to reject the null hypothesis? Please explain reasoning. The level significance is 0.05

Based on the P-value shown in the picture do you reject or fail to reject the null hypothesis? Please explain reasoning. The level significance is 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Based on the P-value shown in the picture do you reject or fail to reject the null hypothesis? Please explain reasoning. The level significance is 0.05
Crunch Options Two sample Thypothesis test: 41: Mean of Fall2020 Score H2: Mean of Spring2021 Score H1 - H2 : Difference between two means Ho : 41 - H2 = 0 HA : H1 - 42 # 0 (without pooled variances) Edit - Data - St (1 of 2) Crunch - Applets - Fall2020 Score Spring2021 Score 47 48.5 46 47.5 45.5 45.5 4 41.5 43.5 41.5 40.5 41.5 40.5 41 40 Sample Statistics: 40.5 39 Sample Mean Std. dev. I 40 38 10 39.5 37.5 Fall2020 Score 32 35.140625 7.4262333 11 39.5 37.5 Spring2021 Score 33 29.136364 12.743425 12 39.5 36 13 38.5 35.5 Hypothesis test results: Difference Sample Diff. Std. Err. 14 37.5 35 DF T-Stat P-value 15 37 33 H1 - 42 6.0042614 2.5776853 51.782336 2.3293229 0.0238 16 37 32 17 36.5 31.5 18 35.5 31 19 35.5 30
Transcribed Image Text:Crunch Options Two sample Thypothesis test: 41: Mean of Fall2020 Score H2: Mean of Spring2021 Score H1 - H2 : Difference between two means Ho : 41 - H2 = 0 HA : H1 - 42 # 0 (without pooled variances) Edit - Data - St (1 of 2) Crunch - Applets - Fall2020 Score Spring2021 Score 47 48.5 46 47.5 45.5 45.5 4 41.5 43.5 41.5 40.5 41.5 40.5 41 40 Sample Statistics: 40.5 39 Sample Mean Std. dev. I 40 38 10 39.5 37.5 Fall2020 Score 32 35.140625 7.4262333 11 39.5 37.5 Spring2021 Score 33 29.136364 12.743425 12 39.5 36 13 38.5 35.5 Hypothesis test results: Difference Sample Diff. Std. Err. 14 37.5 35 DF T-Stat P-value 15 37 33 H1 - 42 6.0042614 2.5776853 51.782336 2.3293229 0.0238 16 37 32 17 36.5 31.5 18 35.5 31 19 35.5 30
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