Using the Central Limit Theorem Answers

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.

✔ 0.0050.010.05Not appropriate

✔ YesNo

likely✔ unlikely

✔ YesNo

✔ likelyunlikely

✔ greater thanless than

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.”

0.010.050.10✔ Not appropriate

Is it appropriate to calculate this probability?

✔ 0.0020.020.2Not appropriate

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.

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

For which situations would it be appropriate to calculate a probability about the difference in sample means?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 are skewed right. n1 = 5 and n2 = 10.Population 1 is skewed right and population 2 is approximately Normal. n1 = 10 and n2 = 50.Both populations have unknown shapes. n1 = 50 and n2 = 100.Both populations are skewed left. n1 = 5 and n2 = 40.

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.”

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.”