STAT250 008 Introductory Statistics Spring 2017 Quiz: Chapter 6 Quiz Time Roma n

Question

STAT250 008 Introductory Statistics Spring 2017 Quiz: Chapter 6 Quiz Time Roma ning 00 48 18 om This Question: 1 pt 4 8 of 15 complete) v In a large city, 55% of people pass the drivers' road test suppose that every day, 200 people independently take the test complele parts (a) hrough (d)below a. What is the number of people who are expected to pass? The expected number is (Round to the nearest whole number as needed.) b. What is the standard deviation for the number expected to pass? The standard deviation is (Round to the nearest whole number as needed) as hot as c After a areat manv davs accordina to the Empirical Rule on about 95% davs number of Deoole Dassina will be as low and as of these the Enter your answer in each of the answer boxes. ance test for your driver's license.

Explanation / Answer

We are given,

P = 0.55

n = 200

Part a)

Mean = np = 200 *0.55 = 110

Answer: 110

Part b)

Standard deviation = Ö(npq) = Ö(0.55*(1-0.55)*200) = 7                                       [p + q = 1]

Answer: 7

Part c)

According to empirical rule 95% data will lie in between mean and 2 standard deviation.

110 – (2 * 7) = 96

110 + (2 * 7) = 124

low as 96 and as high as 124

Part d)

Yes because 70 is 2 standard deviations below the mean.

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