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 x = 51.3 n was equal to 25 propellants. alpha = 0.05 Z^alpha/2 = Z_0.025 = plusminus 1.96 sigma = 2 cm/second Let change alpha = 0.01, and the other variables remain the same. The new accuracy is 0.01 cm/sec. If you change the alpha from 0.05 to an alpha of 0.01 the confidence level limits are smaller? a. True b. False 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 Confidence level limits are no smaller, It is FALSE

for alpha=.05 CI is ( 50.51,52.08)

for alpha=.01 CI is ( 50.3,52.3)

2 Second is true

for more accuracy you required bigger sample size

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