Question

Barron's reported that the average number of weeks an individualis unemployed is 14.5 weeks. Assume that for the population of all unerplayed individuals the population mean length of unemployment : 14.5 weeks and that the population standard deviation is 3.5 weeks. Suppose y would like to select a sample of 40 unemployed Individuals for a follow-up study. Use 2-table. Show the sampling stribution of the sample mean average for a sample of 40 unemployed individuals. 5(2)-14 (to 1 decimal) 0.5 (to 2 decimals) Choose the correct graph. A . What is the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within 1 week of the population mean? (to 4 decimals) . What is the probability that a simple random sample of 40 unemployed Individuals will provide a sample mean within week of the population mean? (to 4 decimals)

Answer 1

solution of population mean = 14,5 population slandards den ation (o)= 315 Uz Go @ Sampling duiste bution of a bellow Normal with nean E(X) = Elth &u=hu U= 14.5 a varianceNct = v[t Eni]= nV(Xi) = V(xi) - 02 и h2 h n on = 1 h = on in = 3.5 .5534 140 Gł upto-2-decimal = 55 graph o Reduces = data not so scallered 6 Plisss t-u Ques P{ - <ñ-u< <1] d) - P1-18182< Z3 1.5182 = 2 Ploc2 21 0182] = 2x 14655 = 9310 ous 150 LX-42.50 P[-180 L D L L . 508] c P {-19098222190gl7 = 2x P{022 Ligog 1) 22x3104 - 6368 me