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A football statistician is interested to see if the two teams have significantly different weights. What is the hypothesis test to be done? (Use 4, - Hz, where 4, is Team B and u, is Team A.) O Ho: Hy = Hz Ho: H = = 0.5 H1: H, = 0.5 O Ho: Hq = Hz O Hoi Hq> Hz B (b) What is the mean difference in weight (in pounds) between the two teams? (Use 4 - 42, where 4, is Team B and u, is Team A.) Ibs Which team, on average, had the higher weight? O Team A Team B O not enough information B (c) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 99% confidence level. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) At a 99% confidence level, should the null hypothesis be rejected or not? Fill in the blanks. The null hypothesis should -Select- . The mean weights between the two teams --Select-- V significantly different at the 99%% confidence level.

A football statistician is interested to see if the two teams have significantly different weights. What is the hypothesis test to be done? (Use 4, - Hz, where 4, is Team B and u, is Team A.) O Ho: Hy = Hz Ho: H = = 0.5 H1: H, = 0.5 O Ho: Hq = Hz O Hoi Hq> Hz B (b) What is the mean difference in weight (in pounds) between the two teams? (Use 4 - 42, where 4, is Team B and u, is Team A.) Ibs Which team, on average, had the higher weight? O Team A Team B O not enough information B (c) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 99% confidence level. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) At a 99% confidence level, should the null hypothesis be rejected or not? Fill in the blanks. The null hypothesis should -Select- . The mean weights between the two teams --Select-- V significantly different at the 99%% confidence level.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Oneway Analysis of Weight By Team Oneway Analysis of Weight By Team 350 Pooled t Test Summary of Fit 300 Rsquare 0.000754 Adj Rsquare Root Mean Square Error Mean of Response -0.03493 40.18232 250- 254.8887 Observations (or Sum Wgts) 30 t Test 200- B-A Assuming equal variances Difference 2.133 t Ratio 14.673 42.677 Prob > IE| 0.145397 Тeam Std Err Dif DF 28 Upper CL Dif 0.8854 Lower CL Dif -38.411 Prob >t 0.4427 Pooled t Test Confidence 0.99 Prob < t 0.5573 Summary of Fit Analysis of Variance Rsquare 0.000754 Adj Rsquare Root Mean Square Error Mean of Response Source DF Sum of Squares Mean Square Тeam -0.03493 40.18232 1 34.133 34.13 254.8887 Error 28 45209.333 1614.62 Observations (or Sum Wgts) 30 C. Total 29 45243.467 t Test Means for Oneway Anova В-А Level Number Mean Std Error Lower { A 15 253.800 10.375 22 Assuming equal variances 2.133 t Ratio 14.673 DF 32.189 Prob > |t| Difference 0.145307 15 255.933 10.375 227 Std Err Dif 28 Std Error uses a pooled estimate of error variano Upper CL Dif 0.8854 Lower CL Dif -27.922 Prob >t 0.4427 t Test Confidence 0.95 Prob <t 0.5573 -40 -20 0 20 B-A Assuming unequal variances 2.133 t Ratio 14.673 DF 42.677 Prob > || Difference 0.145397 Analysis of Variance Std Err Dif 27.99884 Upper CL Dif Lower CL Dif -38.411 Confidence 0.8854 Source DF Sum of Squares Mean Square FRatio Prob >F Prob >t 0.4427 Тeam 1 34.133 34.13 0.0211 0.8854 0.99 Prob <t 0.5573 Error 28 45209.333 1614.62 C. Total 29 45243.467 Means for Oneway Anova Level Number Mean Std Error Lower 95% Upper 95% A 15 253.800 10.375 232.55 275.05 15 255.933 10.375 234.68 277.19 Std Error uses a pooled estimate of error variance t Test В-А Assuming unequal variances 2.133 t Ratio 14.673 DF 32.189 Prob > |t| Difference 0.145397 Std Err Dif 27.99884 Upper CL Dif 0.8854 Lower CL Dif -27.922 Prob >t 0.4427 Confidence 0.95 Prob <t 0.5573 -40 -20 20 40 Weight II
Transcribed Image Text:Oneway Analysis of Weight By Team Oneway Analysis of Weight By Team 350 Pooled t Test Summary of Fit 300 Rsquare 0.000754 Adj Rsquare Root Mean Square Error Mean of Response -0.03493 40.18232 250- 254.8887 Observations (or Sum Wgts) 30 t Test 200- B-A Assuming equal variances Difference 2.133 t Ratio 14.673 42.677 Prob > IE| 0.145397 Тeam Std Err Dif DF 28 Upper CL Dif 0.8854 Lower CL Dif -38.411 Prob >t 0.4427 Pooled t Test Confidence 0.99 Prob < t 0.5573 Summary of Fit Analysis of Variance Rsquare 0.000754 Adj Rsquare Root Mean Square Error Mean of Response Source DF Sum of Squares Mean Square Тeam -0.03493 40.18232 1 34.133 34.13 254.8887 Error 28 45209.333 1614.62 Observations (or Sum Wgts) 30 C. Total 29 45243.467 t Test Means for Oneway Anova В-А Level Number Mean Std Error Lower { A 15 253.800 10.375 22 Assuming equal variances 2.133 t Ratio 14.673 DF 32.189 Prob > |t| Difference 0.145307 15 255.933 10.375 227 Std Err Dif 28 Std Error uses a pooled estimate of error variano Upper CL Dif 0.8854 Lower CL Dif -27.922 Prob >t 0.4427 t Test Confidence 0.95 Prob <t 0.5573 -40 -20 0 20 B-A Assuming unequal variances 2.133 t Ratio 14.673 DF 42.677 Prob > || Difference 0.145397 Analysis of Variance Std Err Dif 27.99884 Upper CL Dif Lower CL Dif -38.411 Confidence 0.8854 Source DF Sum of Squares Mean Square FRatio Prob >F Prob >t 0.4427 Тeam 1 34.133 34.13 0.0211 0.8854 0.99 Prob <t 0.5573 Error 28 45209.333 1614.62 C. Total 29 45243.467 Means for Oneway Anova Level Number Mean Std Error Lower 95% Upper 95% A 15 253.800 10.375 232.55 275.05 15 255.933 10.375 234.68 277.19 Std Error uses a pooled estimate of error variance t Test В-А Assuming unequal variances 2.133 t Ratio 14.673 DF 32.189 Prob > |t| Difference 0.145397 Std Err Dif 27.99884 Upper CL Dif 0.8854 Lower CL Dif -27.922 Prob >t 0.4427 Confidence 0.95 Prob <t 0.5573 -40 -20 20 40 Weight II
O (a) A football statistician is interested to see if the two teams have significantly different weights. What is the hypothesis test to be done? (Use l, - ug, where u, is Team B and u, is Team A.) O Hoi Hq = Hz = 0.5 = 0.5 Ho: My = H2 O Hoi Hq> Hz O (b) What is the mean difference in weight (in pounds) between the two teams? (Use u, - ug, where u, is Team B and u, is Team A.) Ibs Which team, on average, had the higher weight? O Team A O Team B O not enough information e (c) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 99% confidence level. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) At a 99% confidence level, should the null hypothesis be rejected or not? Fill in the blanks. The null hypothesis should --Select--- . The mean weights between the two teams ---Select--- V significantly different at the 99% confidence level.
Transcribed Image Text:O (a) A football statistician is interested to see if the two teams have significantly different weights. What is the hypothesis test to be done? (Use l, - ug, where u, is Team B and u, is Team A.) O Hoi Hq = Hz = 0.5 = 0.5 Ho: My = H2 O Hoi Hq> Hz O (b) What is the mean difference in weight (in pounds) between the two teams? (Use u, - ug, where u, is Team B and u, is Team A.) Ibs Which team, on average, had the higher weight? O Team A O Team B O not enough information e (c) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 99% confidence level. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) At a 99% confidence level, should the null hypothesis be rejected or not? Fill in the blanks. The null hypothesis should --Select--- . The mean weights between the two teams ---Select--- V significantly different at the 99% confidence level.
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