D. The variable \"weekly time spent watching television\" is likely skewed lefh.

Question

D. The variable "weekly time spent watching television" is likely skewed lefh. (b) According to a certain survey, adults spend 2 25 hours per day watching televitson on a weekday Ascume that the standard derviation for Tima spernk walching tslevision on a wookdasy" s 1 93 hours f a random sample ot 40 aduts is obtained, describe the sampling distrituon of X the mean amount of time spent wathing tele ison on a weekday x is approximately normal with i% : 226 ando,-0.305160 Round to six decimal places as needed.) ic) Determine the probability that a random sample of 4D aduts results in a mean time watchin The probablity is (Round lo four decimal places as needed ) g television on a weekday of between 2 and 3 hours

Explanation / Answer

Ans:

Sampling distribution of sample means:

mean=2.25

standard deviation=1.93/sqrt(40)=0.30516

z(2)=(2-1.93)/0.30516=0.229

z(3)=(3-1.93)/0.30516=3.506

P(0.229<z<3.506)=P(z<3.506)-P(z<0.229)

=0.9998-0.5907=0.4091

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