# 3 PART 6 First-semester GPAs for a random selection of freshmen at a large university are...

###### Question:

3 PART 6

First-semester GPAs for a random selection of freshmen at a large university are shown below. Estimate the true mean GPA of the freshmen class with 96% confidence. Assume o= 0.62.

2.1 4 2 2.9 2.7 3.3 2.8 3. 3.8 1.9
2.1 2.4 2 1.9 2.9 2.7 2.8 2.2 3 3.8
3.1 2.7 3 3.4 3.5 2.8 3.9 2.7 2 2.8

A random sample of 25 drivers used on average 758 gallons of gasoline per year. The standard deviation of population is 31 gallons.

Find the 90% confidence interval of the mean of all drivers.
Find 99%, 80%, 95%, 85% confidence interval

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A random sample of 17 registered nurses in a large hospital showed that they worked on average 42.5 hours per week. The standard deviation of the sample was 2.6. Estimate the mean of the population with 95% confidence.

_____ < u < _____

a meteorologist who sampled 16 thunderstorms found that the average speed at which they traveled across a certain states was 14 miles per hour. The standard deviation of the sample was 1.3 miles per hour.

find the 92%, 99%, 80% confidence interval of the mean. _____ <u< ______

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