A boat capsized and sank in a lake. Based on an assumption of a mean weight of 138 Ib, the boat was rated to carry 60 passengers (so the load limit was 8,280 lb). After the boat sank, the assumed mean weight for similar boats was changed from 138 lb to 175 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.7 lb and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 138 Ib. The probability is 1.0000. (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,800 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,800 lb).

Find the missing weight in the following data set: Person 1 2 3 4 weight 139 150 181 X Deviation from the Mean -21.5 -10.5 20.5 11.5

An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the g the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the data are shown. Comple parts (a) through (f). a. Construct a scatter plot. Choose the correct graph below. O A. 2,000 ★Rent ($) → 2,000 Size (sq ft) Q O B. ★Rent ($) 2,000+ to Monthly Rent ($) Size (Square Feet) 0 S 1.₂ 2,000 Size (Sq ft) Q Q □ b. Use the least-squares method to determine the regression coefficients bo and b₁. 900 1,600 825 1,450 1,900 975 1,825 1,300 900 1,200 1,050 1,200 1,900 700 1,350 1,100 bo = (Round to one decimal place as needed.) b₁ = (Round to one decimal place as needed.) c. Interpret the meaning of bo and b₁ in this problem. Choose the correct answer below. (---) O C. 2,000…

A concrete mix is designed to withstand 3000 pounds per square inch​ (psi) of pressure. The following data represent the strength of nine randomly selected casts​ (in psi).   3970​, 4100​, 3100​, 3200​, 2950​, 3820​, 4100​, 4050​, 3470      Compute the​ mean, median and mode strength of the concrete​ (in psi).