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).

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).

Name: A boat capsized and sank in a lake. Based on an assumption of a mean
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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 Ib

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 20 30 15 26 28 14 24 33 18 22 29 17
The mean for the following data set {1, 2, 3, 1, 3} is: Select one: О а.5 O b. 2 О с.3 O d. 4
ANSWER C D E ONLY AND TYPEWRITTEN FOR UPVOTE SKIP IF YOU ALREADY DID THIS OTHERWISE DOWNVOTE
A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete's strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the concrete (in psi). 3940 4060 3220 3080 2920 3870 4060 4030 3790 Compute the mean strength. Select the correct choice below and fill in the answer box to complete your choice. OA. The mean strength is 10 (Round to two decimal places as needed.) B. The mean does not exist. Compute the median strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The median strength is (Round to two decimal places as needed.) B. The median does not exist. Compute the mode strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mode…
The following data represent the miles per gallon for a particular make and model car for six randomly selected vehicles. Compute themean, median, and mode miles per gallon.26.4, 30.2, 24.6, 25.2, 34.5, 36.3 Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The mean mileage per gallon is.(Round to two decimal places as needed.) B. The mean does not exist. Compute the median miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The median mileage per gallon is.(Round to two decimal places as needed.) B. The median does not exist.
The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Let μBU, BLU, and μTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? A. Ho: At least one of the means is different. Ha: MBUHBLUPTC B. Ho: "BU HBLU HTC # Ha: MBUHBLUPTC C. Ho: MBUHBLU = HTC Ha: At least one of the means is different. D. Ho: MBU - HBLU = μTC Ha: HBU #BLU HTC What is the test statistic? F = 12.56 (Round to two decimal places as needed.) What is the P-value? P-value = 0.000624 (Round to three decimal places as needed.)
Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take six boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 6 samples are 15.69, 13.69, 15.53, 16.80, 12.31, and 13.75, respectively. Likewise, the range values for the each of 6 samples are 1.78, 0.64, 0.55, 0.38,0.21, and 0.90 respectively. Find out Grand Mean (X double bar), and mean range (R bar) O a. 14.63, 0.74 O b. 14.81, -0.74 O c. 15.53, 0.67 O d. 0,0 e. 16.53, 0.86
Refer to the data below. 38 42 26 22 30 42 36 42 1)The mean is 2)The range is: 3)The difference between the mode and median is: 4)Which measure of dispersion in a data set is calculated using all the values in the set?
Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take six boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 6 samples are 15.43, 14.47, 18.07, 17.34, 12.74, and 15.58 respectively. Likewise, the range values for the each of 6 samples are 1.63,0.66, 0.47,0.40, 0.20, and 0.90 respectively. Find out Grand Mean (X double bar), and mean range (R bar) O a. 16.538, 0.86 O b. 15.61,0.71 16.53,0.71 O d. 15.82, -0.65 O e. 0,0
A college student wants to determine whether the stress level of a student is associated to his/her body mass index (BMI). She randomly selected 80 students and determine their stress level and BMI. The data obtained is summarized in the table below. BMI Stress Level Total Normal Not Normal Low 20 31 51 Hight 15 14 29 Total 35 45 80