Question

An enger going to redesign an ections for an ape. The seat was designed for plots weg between 130 and 171 The new population of plots has nomaly distributed weights wth a mean of 130 banda standard deviation of 307 lb 2. Il a plotis random tected the probability that weight is betonen 130 15 and 171 The probably crawy Round to four decimal places as needed) b. 32 different plots rondomly selected, find the probability that their mean weight is between 130 and 171 The probably in promately Round to fou decimal places as needed) c. When redes grunge ction seat, which probability is more relevante? O A Part became the seat performance for a sample of plots is more important OB Part because the seat performance for a single plot is more important OC Part because the seat performance for a single plot is more important OD Part) because the seat performance for a sample of plots is more important

Answer 1

M=139 - 30.7 a P(130C XL171) By Normal approximation- PL 130-139 129-139 30.7 30.7 el -0.29 -0.29 <2 (104) Placlou)-Plze-0.29) By z table -0.8508- 0.3859 0.4649 nr-32 P/130 e 2171) By Normal approximation- Pl 130-1X 171-MT Mr = Mx

130-139 171-139 30.7/332 < 2 2 36.7 332 P PC- -1.66 < 2L5.89) Plz 15.89 )- P/ 26-1.66) By a table - 0.0485 0.9515 Prob of Part (6) is more relatent Because it is Nearby loot. Please like