Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R

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Use R Use R Use R Use R Use R Use
R Use R Use R Use R Use R Use R Use
R Use R Use R Use R Use R Use R Use
R Use R Use R Use R Use R Use R Use
R Use R

Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R Use R 1 (494.39 KiB) Viewed 51 times

5. (20 points) A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. a. (5 points) Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances? i. State and test the appropriate hypotheses using a significance level of 0.05. ii. In reaching your conclusion, what type of error might you have committed? iii. In your report, you need to formally state the test hypotheses, provide the value of the test statistic, P-value, and the final conclusion. Use base packages and your own script to carry out an appropriate test of hypotheses. b. (10 points) In Chapter 7, “Hypotheses: One Sample”, we stated the formulas for calculating sample sizes when the following parameters are provided: a,ß, Po,p'. Write your function that performs sample size calculations. The arguments of the function should be a, b, Po,p'. c. (5 points) How many plates would have to be tested to have B(0.15) = 0.10 for the test of part a? Use your function from part b to perform the calculations. Include the output produced by the function in your report. =