You randomly select 100 drivers ages 15 to 19 from Example 4 What is the probability that the mean time they spend driving each day is between 24 7 and 25 5 minutes Use 25 minutes and 1 5 minutes a Use the Central Limit Theorem to find x and x and sketch the sampling distribution of the sample mean...

a b c P z 2 00228 Pz 333 09996 P 247 x 255 P 2 z 333 ...

You randomly select 100 drivers ages 15 to 19 from Example 4. What is the probability that

Question:

You randomly select 100 drivers ages 15 to 19 from Example 4. What is the probability that the mean time they spend driving each day is between 24.7 and 25.5 minutes? Use μ = 25 minutes and σ = 1.5 minutes.

a. Use the Central Limit Theorem to find μ_x̅ and σ_x̅ and sketch the sampling distribution of the sample means.

b. Find the z-scores that correspond to x̅ = 24.7 minutes and x̅ = 25.5 minutes.

c. Find the cumulative area that corresponds to each z-score and calculate the probability that the mean time spent driving is between 24.7 and 25.5 minutes.

d. Interpret the results.

Example 4

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...