Do Homework Michael Beale DS 2333 Fall 2017 Michael Beale 11/11/17732 P Homework

Question

Do Homework Michael Beale DS 2333 Fall 2017 Michael Beale 11/11/17732 P Homework: Chapter 7: Sec. 1, 2, & 3 Score: 0 of 1 pt 7.2.7-T Hw Score: 35.71%, 2.5 of 7 Question Help Time spent usang emal pei sessons normaty dshtuted with -13 mnutes d° 2 mnes Assune that the tme spent per sesson is nrmally dis trbuted Complete parts (a) through (d) a. If you select a random sample of 50 sessions what is the probability that the sample moean is betwoon 12 8 and 13 2 minutes? 522 (Round to three decimal places as needed ) b. If you select a random sample of 50 sessions, whet s the probatslty that the sample mean is betwom 12 5 and 13 minutes? (Round tothree decimal places as needed) Enter your answer in the answer box and then click Check Ansawer Clear All D o)

Explanation / Answer

a) std error =std deviation/(n)1/2 =2/(50)1/2 =0.2828

P(12.8<X<13.2)=P((12.8-13)/0.2828<Z<(13.2-13)/0.2828)=P(-0.7071<Z<0.7071)=0.7602-0.2397=0.520

b)P(12.5<X<13.0)=P((12.5-13)/0.2828<Z<(13.0-13)/0.2828)=P(-1.7678<Z<0.5)=0.5-0.039 =0.461

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