Problem 4 On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally distributed. a) Compute a 91% CI for the true average yield point if the average yield point. for 25 bars is 1800 lb with standard deviation 100 lb. b) Compute a 98% CI for the true average yield point of another sample based on 15 bars with a sample average yield point of 1900 and standard deviation 110 lb. d) If the variance is 120 lb, what sample size is necessary to estimate true yield point to be within 3 with 99% confidence?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Problem 4 On the basis of extensive tests, the yield point of a particular type of
mild steel-reinforcing bar is known to be normally distributed.
a) Compute a 91% CI for the true average yield point if the average yield point
for 25 bars is 1800 lb with standard deviation 100 lb.
b) Compute a 98% CI for the true average yield point of another sample based on
15 bars with a sample average yield point of 1900 and standard deviation 110 lb.
d) If the variance is 120 1b, what sample size is necessary to estimate true yield
point to be within 3 with 99% confidence?
Transcribed Image Text:Problem 4 On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally distributed. a) Compute a 91% CI for the true average yield point if the average yield point for 25 bars is 1800 lb with standard deviation 100 lb. b) Compute a 98% CI for the true average yield point of another sample based on 15 bars with a sample average yield point of 1900 and standard deviation 110 lb. d) If the variance is 120 1b, what sample size is necessary to estimate true yield point to be within 3 with 99% confidence?
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