Question

direction and resubmit your Please round all probabilities from the z-table to 4 decimal places. tia PC he ta tim (2.5 points + BONUS 0.5 points) There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and size prohibitions. The Massachusetts Division of Marine Fisheries requires a minimum carapace length measured from a rear eye socket to the center line of the body shell. For a particular local municipality, any lobster measuring less than 3.35 inches must be returned to the ocean. The mean carapace length of the lobsters is 3.95 inches with a standard deviation of 2.13 inches. A random sample of 80 lobsters is obtained. = 1 ir tin (0.5 pts.) a) Assuming that the sample mean carapace length is greater than 3.35 inches, what is the probability that the sample mean carapace length is more than 4.01 inches? Please use four decimal places. e-x/ 0. Submit Answer Incorrect. Tries 2/5 Previous Tries (0.5 pts.) b) If the sample mean carapace length is less than 3.35 inches, a lobsterman will look for other places to set his traps. What is the probability that a lobsterman will be looking for a different location? Please use four decimal places. Submit Answer Incorrect. Tries 2/5 Previous Tries plain your

pls help

Answer 1

Given, 3 Mean (u) 3.95 stol deviation (6) sample size ( na 2.13 80 Now P(AIB) P (ANB) P@) pl x>4.09] x>3.35) PC x > 4.01 x > 3.35) P(x > 3.35) Plix >4.01) (x > 3.35) P(x>4.01427 3:35 ) - 4.0) 3.95 - Pl* 34.01 / 223.35) = Plz > 2:13/180 Plz 9 3.35 3.95 2.131580 Pl. 234.01 1 x7335) = P(Z >0.25 ) PC 27 -2.59)

1- P(Z < 0.95 ) P(x>4.09|x>3:35) 1- Plz<-2.59 ) using Z- Table 0.5987 P(Z <0.25) = Plze-3.51) こ 0.0059 P(x >4.01 | 273-35) = 0.9013 0.40368 0.9991 f (x >4.01 1*>3.35) 0.40371 Probability is 99 0.4037 6 P(x23.35) = P ( 22 3.35-3.45 2.13 Plac 3.35) = P(Z2-0.28 ) using 2- Table P(Z <-0.28) = 0.3897 Per L 3.35) 0.3897 probability lo. 3897 so