To compute the confidence level and the sample size lets vary the confidence lev

Question

To compute the confidence level and the sample size lets vary the confidence level and the accuracy of the textbook example of the mean burn of the sample of propellants Remember that in the textbook example if the 51.3 n was equal to 25 propellants 0.05 ZA Zo025 1.96 0-2 cm / second Let change a 0.01, and the other variables remain the same The new accuracy is 0.01 cm/sec Questions 1. If you change the alpha from 0.05 to an alpha of 0.01 the confidence level limits are smaller? a. True b. False 2. If you change the accuracy level from 0.1 cm/sec to 0.01 cm/sec the sample size is bigger? a. True b. False

Explanation / Answer

1. Alpha actually means that how much likelihood is it that the true population parameter which is the mean in this case will lie outside of the confidence interval. If we decrease alpha from 0.05 to 0.01, we will increase the confidence interval from 95% to 99%. Therefore, the confidence level limits will increase. The answer is B) False.

2. If the accuracy level is changed from 0.1 to 0.01, we are actually increasing the precision of our estimate. Therefore, bigger sample size is needed. The answer is A) True

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