Question

A test has been defined, with maximum mark 20, for which the standard deviation for all engineering students in the country is known to be 1.90. The marks are known to have a Gaussian distribution. An engineering class of 25 students in Melbourne takes this test, and the mean is found to be 12.00 out of 20. Calculate the following: • A 80% confidence interval on $mu$. • A 90% confidence interval on $mu$. • The confidence that $mu$ is between 11.50 and 12.50 out of 20. • How many students need to be tested, so we can estimate the mean result of the test with an error of less than 0.10 at the 85% confidence level?

          A test has been defined, with maximum mark 20, for which the standard deviation for all engineering students in the country is known to be 1.90. The marks are known to have a Gaussian distribution. An engineering class of 25 students in Melbourne takes this test, and the mean is found to be 12.00 out of 20. Calculate the following:
• A 80% confidence interval on $mu$.
• A 90% confidence interval on $mu$.
• The confidence that $mu$ is between 11.50 and 12.50 out of 20.
• How many students need to be tested, so we can estimate the mean result of the test with an error of less than 0.10 at the 85% confidence level?

A test has been defined, with maximum mark 20, for which the standard deviation for all engineering students in the country is known to be 1.90. The marks are known to have a Gaussian distribution. An engineering class of 25 students in Melbourne takes this test, and the mean is found to be 12.00 out of 20. Calculate the following:
• A 80% confidence interval on $mu$.
• A 90% confidence interval on $mu$.
• The confidence that mu is between 11.50 and 12.50 out of 20.
• How many students need to be tested, so we can estimate the mean result of the test with an error of less than 0.10 at the 85% confidence level?

Added by Daniela C.

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