chapter 7 Connect Horr × C\' | ezto.rmheducation.com/hm.tpx Connect BUSINESS STA

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chapter 7 Connect Horr × C' | ezto.rmheducation.com/hm.tpx Connect BUSINESS STATISTICS hapter 7 Connect Homework Question 3 (of 6) value 2.00 points Among U S cities with a population of more than 250,000 the mean one-way commute time to work is 24 3 minutes. The longest one-way travel time is in New York City, where the mean time is 37 9 minutes Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 6 9 minutes a. What percent of the New York City commutes are for less than 29 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.) Percent b. What percent are between 29 and 35 minutos? (Round the intermediate values to 2 decimal places Round your answer to 2 decimal places.) c. What percont are between 29 and 42 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.) Percent References eBook & Resources Worksheet

Explanation / Answer

Solution:

From the given information mean = 37.9,

Standard deviation s = 6.9

a. P(X<29) = P((X-mean)/s <(29-37.9)/6.9)
= P(Z < -1.29)
= 0.0985 (check standard normal table)

b. P(29 <Z< 35) = P(-1.29 < Z<(36-37.9)/6.9)
= P(-1.29 < Z < 0.42)
= 0.2387 (check standard normal table)

c. P(29 < X < 42 ) = P(-1.29 < Z < (42-37.9)/6.9)
= P(-1.29 <Z< 0.59)
= 0.6239(check standard normal table)

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