What is the length of your 96% confidence interval for , H, C ) If we used this data to test Hoi H, - Hy m0 against the alternative Hi Hi - Hy > 0 then what would the value of the calculated test statistic z have been? If ve used this data to test Hgi H, -0 against the alternative H, H. >0 then what would the p value have been?[ Hy Hy 2f we used this data to test Hot H, - H, =0 against the alternative H, H. - H, 40 then vhat would the p value have been?

MATLAB: An Introduction with Applications
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Suppose there are two different vaccines for Covid, Vaccine X and Vaccine Y. An interesting question is which vaccine has a higher 6-month antibody effectiveness quotient (6AEQ). To examine this we randomly select 78 recipients of vaccine X and 93
recipients on vaccine Y. The vaccine X recipients had a mean 6AEQ of x = 151. The vaccine Y recipients had a mean 6AEQ of y = 148. It is recognized that the true standard deviation of 6AEQ for vaccine X recipients is o, = 9.7 while it is recognized that
the true standard deviation of 6AEQ for vaccine Y recipients is o, = 10.5. The true (unknown) mean SAEQ for vaccine X recipients is ly, while the true (unknown) mean 6AEQ for vaccine Y recipients is 4,. 6AEQ measurements are known to be a
normally distributed.
summary:
Sample Size Sample Mean Standard Deviation
9.7
Гуре
Vaccine
78
151
Vaccine Y 93
148
10.5
What is the length of your 96% confidence interval for uy
Hy ?
) If we used this data to test Hg: Hy - Hy =0 against the alternative H: uy - Hy > 0 then what would the value of the calculated test statistic z have been?
If we used this data to test Hn: y - , =0 against the alternative H,: u, - Hy >0 then what would the p value have been?
|If we used this data to test Ho: Hy - Hy =0 against the alternative H: u, - Hy #0 then what would the p value have been?
Transcribed Image Text:Suppose there are two different vaccines for Covid, Vaccine X and Vaccine Y. An interesting question is which vaccine has a higher 6-month antibody effectiveness quotient (6AEQ). To examine this we randomly select 78 recipients of vaccine X and 93 recipients on vaccine Y. The vaccine X recipients had a mean 6AEQ of x = 151. The vaccine Y recipients had a mean 6AEQ of y = 148. It is recognized that the true standard deviation of 6AEQ for vaccine X recipients is o, = 9.7 while it is recognized that the true standard deviation of 6AEQ for vaccine Y recipients is o, = 10.5. The true (unknown) mean SAEQ for vaccine X recipients is ly, while the true (unknown) mean 6AEQ for vaccine Y recipients is 4,. 6AEQ measurements are known to be a normally distributed. summary: Sample Size Sample Mean Standard Deviation 9.7 Гуре Vaccine 78 151 Vaccine Y 93 148 10.5 What is the length of your 96% confidence interval for uy Hy ? ) If we used this data to test Hg: Hy - Hy =0 against the alternative H: uy - Hy > 0 then what would the value of the calculated test statistic z have been? If we used this data to test Hn: y - , =0 against the alternative H,: u, - Hy >0 then what would the p value have been? |If we used this data to test Ho: Hy - Hy =0 against the alternative H: u, - Hy #0 then what would the p value have been?
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