Sampling Distribution of the Sample Mean

Question 1

If a random sample of 4 tires are selected, what is the probability that the mean number of miles they last is more than 60,000 miles? Use this standard Normal table to calculate this probability.

Revolt · Accepted Answer

0.0075

Question 2

Is there convincing evidence that the mean number of miles for all regular tires is greater than 60,000 miles? , it is to randomly select 4 tires and obtain a sample mean of greater than 60,000 miles if the true mean of the population is 50,000 miles.

Revolt · Accepted Answer

Selection 1: Yes; Selection 2: unlikely

Question 3

If a random sample of 16 regular tires is selected and a random sample of 25 SuperWear tires is selected, what is the probability that the sample mean number of miles of SuperWear is greater than the sample mean number of miles obtained by the regular tires? Use this standard Normal table to calculate this probability.

Revolt · Accepted Answer

Approximately 1

Question 4

Is there convincing evidence that the true mean number of miles obtained by SuperWear tires is greater than that of the regular tires? , if a random sample of 16 regular tires is selected and a random sample of 25 SuperWear tires is selected, it is very that the sample mean number of miles of SuperWear is greater than the sample mean number of miles obtained by the regular tires. This gives reason to believe that true mean number of miles obtained by SuperWear tires is that of the regular tires.

Revolt · Accepted Answer

Selection 1: Yes; Selection 2: likely; Selection 3: greater than

Question 5

For which sample size would it be appropriate for the student to calculate the desired probability?

Revolt · Accepted Answer

n = 40

Question 6

For which situations would it be appropriate to calculate a probability about the difference in sample means?

Revolt · Accepted Answer

Both population shapes are unknown. n1 = 50 and n2 = 100.; Population 1 is skewed right and population 2 is approximately Normal. n1 = 50 and n2 = 10.; Both populations have unknown shapes. n1 = 50 and n2 = 100.

Question 7

If a random sample of 15 families that have one or more children under the age of 4 are selected, what is the probability that their mean annual diaper cost is more than $1,500? Is it appropriate to calculate this probability? If yes, use this standard Normal table to calculate the probability and select the correct probability. If no, then select “Not appropriate.”

Revolt · Accepted Answer

Selection 1: No; Selection 2: Not appropriate

Question 8

If a random sample of 35 families that have one or more children under the age of 4 are selected, what is the probability that their mean annual diaper cost is more than $1,500? Is it appropriate to calculate this probability? If yes, use this standard Normal table to calculate the probability and select the correct probability. If no, then select “Not appropriate.”

Revolt · Accepted Answer

Yes; Selection 1: Yes; Selection 2: 0.005

Question 9

Is it appropriate to calculate this probability? If yes, use this standard Normal table to calculate the probability and select the correct probability. If no, then select “Not appropriate.”

Revolt · Accepted Answer

Yes; Selection 1: Yes; Selection 2: 0.002

Question 10

Question 14

Revolt · Accepted Answer

0.005

Sampling Distribution of the Sample Mean Answers

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