Question

The mean and standard deviation of the tax value of all vehicles registered in a certain state are $13,525 and $4,180 respectively. Suppose random samples of size 100 are drawn from the population of vehicles. Find the mean and standard deviation of the sample. (3 M) A random sample of 12 students from a XYZ university yields mean GPA 71 with sample standard deviation 0.51. Construct a 90% confidence interval for the mean GPA of all students at the university. Assume that the numerical population of GPAs from which the sample is taken has a normal distribution. (5 M) State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μ0 and write H0: μ=μ0 and the appropriate analogous expression for Ha.) (5 M) The average July temperature in a region historically has been 74.5°F. Perhaps it is higher now. The average weight of a female airline passenger with luggage was 145 pounds ten years ago. The FAA believes it to be higher now. The average stipend for doctoral students in a particular discipline at a state university is $14,756. The department chairman believes that the national average is higher. The average room rate in hotels in a certain region is $82.53. A travel agent believes that the average in a particular resort area is different. The average farm size in a predominantly rural state was 69.4 acres. The secretary of agriculture of that state asserts that it is less today.

          The mean and standard deviation of the tax value of all vehicles registered in a certain state are $13,525 and $4,180 respectively. Suppose random samples of size 100 are drawn from the population of vehicles. Find the mean and standard deviation of the sample. (3 M)

A random sample of 12 students from a XYZ university yields mean GPA 71 with sample standard deviation 0.51. Construct a 90% confidence interval for the mean GPA of all students at the university. Assume that the numerical population of GPAs from which the sample is taken has a normal distribution. (5 M)

State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μ0 and write H0: μ=μ0 and the appropriate analogous expression for Ha.) (5 M)

The average July temperature in a region historically has been 74.5°F. Perhaps it is higher now.

The average weight of a female airline passenger with luggage was 145 pounds ten years ago. The FAA believes it to be higher now.

The average stipend for doctoral students in a particular discipline at a state university is $14,756. The department chairman believes that the national average is higher.

The average room rate in hotels in a certain region is $82.53. A travel agent believes that the average in a particular resort area is different.

The average farm size in a predominantly rural state was 69.4 acres. The secretary of agriculture of that state asserts that it is less today.

Added by Jose Antonio W.

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