5. Assume that the breaking strengths for all steel rods of a certain type constitute a normal population with the mean and standard deviation o. A random sample of 15 measurements of breaking strength selected from this population gave a sample mean of 2.56 tons and sample standard deviation of 0.26 tons. a. Find 95% confidence interval for the population mean . Keep two digits after decimal point in the answer. Show your work in finding 95% confidence interval for the population mean. 95% confidence interval for the population mean is ( b. Find a 95% confidence interval for the population standard deviation . Keep two digits after decimal point in the answer. Show your work in finding 95% confidence interval for population for population standard deviation. 95% confidence interval for the population standard deviation is

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Solve both parts of question 5. Part A and Part B. Please and thank you.

5.
Assume that the breaking strengths for all steel rods of a certain type constitute a normal
population with the mean and standard deviation o. A random sample of 15
measurements of breaking strength selected from this population gave a sample mean of
2.56 tons and sample standard deviation of 0.26 tons.
a. Find 95% confidence interval for the population mean .
Keep two digits after decimal point in the answer.
Show your work in finding 95% confidence interval for the population mean.
95% confidence interval for the population mean is (
b. Find a 95% confidence interval for the population standard deviation .
Keep two digits after decimal point in the answer.
Show your work in finding 95% confidence interval for population for population
standard deviation.
95% confidence interval for the population standard deviation is
)
Transcribed Image Text:5. Assume that the breaking strengths for all steel rods of a certain type constitute a normal population with the mean and standard deviation o. A random sample of 15 measurements of breaking strength selected from this population gave a sample mean of 2.56 tons and sample standard deviation of 0.26 tons. a. Find 95% confidence interval for the population mean . Keep two digits after decimal point in the answer. Show your work in finding 95% confidence interval for the population mean. 95% confidence interval for the population mean is ( b. Find a 95% confidence interval for the population standard deviation . Keep two digits after decimal point in the answer. Show your work in finding 95% confidence interval for population for population standard deviation. 95% confidence interval for the population standard deviation is )
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