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11. You have designed an automatic pitching machine that you plan to market for use by baseball players. You intend that the ball hit the target within one inch, if the machine is operating properly. You also know that the degree of variability cannot exceed .025". After you have designed your first model, you need to examine whether it satisfies the 1" criterion before you pursue further research. You have the machine make 15 tosses. You observe the following distances from the target: 1.5 5" 7 1.0 75 1.1 80 1 2 1.0 1.0 1.2 9 5 6" Do a hypothesis test on these data using the <01 level of significance. Specify the null and alternative hypotheses, the critical z required to reject or accept the null, your obtained value, and your decision to reject or accept the null. (Show all your work). What do you decide to do? Do you begin the process of marketing the machine or do you need to go back and work on it some more?

11. You have designed an automatic pitching machine that you plan to market for use by baseball players. You intend that the ball hit the target within one inch, if the machine is operating properly. You also know that the degree of variability cannot exceed .025". After you have designed your first model, you need to examine whether it satisfies the 1" criterion before you pursue further research. You have the machine make 15 tosses. You observe the following distances from the target: 1.5 5" 7 1.0 75 1.1 80 1 2 1.0 1.0 1.2 9 5 6" Do a hypothesis test on these data using the <01 level of significance. Specify the null and alternative hypotheses, the critical z required to reject or accept the null, your obtained value, and your decision to reject or accept the null. (Show all your work). What do you decide to do? Do you begin the process of marketing the machine or do you need to go back and work on it some more?

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
Problem 1P
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11. You have designed an automatic pitching machine that you plan to market for use by baseball players. You intend that the ball hit the target within one inch, if the machine is operating properly. You also know that the degree of variability cannot exceed .025". After you have designed your first model, you need to examine whether it satisfies the 1" criterion before you pursue further research. You have the machine make 15 tosses. You observe the following distances from the target: se 1.5" .5" 7" 1.0 75" 1.1" 80" 1" 2" 1.0" 1.0 1.2" 9" 5" 6" Do a hypothesis test on these data using the <.01 level of significance. Specify the null and alternative hypotheses, the critical z required to reject or accept the null, your obtained value, and your decision to reject or accept the null. (Show all your work). What do you decide to do? Do you begin the process of marketing the machine or do you need to go back and work on it some more? 12. Run a two sided 95% confidence interval for the information contained in problem # 11.Then, run a two-sided 97% confidence interval on the same data.
Transcribed Image Text:11. You have designed an automatic pitching machine that you plan to market for use by baseball players. You intend that the ball hit the target within one inch, if the machine is operating properly. You also know that the degree of variability cannot exceed .025". After you have designed your first model, you need to examine whether it satisfies the 1" criterion before you pursue further research. You have the machine make 15 tosses. You observe the following distances from the target: se 1.5" .5" 7" 1.0 75" 1.1" 80" 1" 2" 1.0" 1.0 1.2" 9" 5" 6" Do a hypothesis test on these data using the <.01 level of significance. Specify the null and alternative hypotheses, the critical z required to reject or accept the null, your obtained value, and your decision to reject or accept the null. (Show all your work). What do you decide to do? Do you begin the process of marketing the machine or do you need to go back and work on it some more? 12. Run a two sided 95% confidence interval for the information contained in problem # 11.Then, run a two-sided 97% confidence interval on the same data.
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