A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 199 lb and a standard deviation of 45 It The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is (Type an integer or a decimal. Do not round.) 150 lb. b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 0.1401 (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe?

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 199 lb and a standard deviation of 45 It The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is (Type an integer or a decimal. Do not round.) 150 lb. b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 0.1401 (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe?

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

the temperature of a coffee cup is 185.3 degrees, is it a discrete or a continuos data set?
A variable has a mean of 100 and a standard deviation of 27. Nine observations of this variable have a mean of 119 and a sample standard deviation of 21. Determine the observed value of the a. standardized version of x. a.) z = b.) t=
Consider the following data set *; | -1|2|3 Yi | 3 |2|1 and the model y = a, + a1¤ Calculate the squared error (SE) for the choice a, = 8 and a1 = -1 Answer:
Students at TAMUCT pay on average $5,200 per semester for tuition with a standar deviation of $120. In a group of 1,000 students, how many would we expect to pay more than $5,500 per semester?
Match the best graphic to be used for each scenario. To compare the choleterol levels between males and females v [ Chopse] box plot pie chart side by side box plot To display the breakdown of diet types (vegan, vegetarian, low carb, low fat)fat stem plot To describe the distribution of fasting blood [ Choose ] sugar levels among elderly diabetic patients To calculate the proportion of people in a study sample who weigh less than the [Choose] sample meanhah No new data to save. Last checked MacBook Air
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 lengths of 40 leaves of a plant are measured correct to the nearest millimeter. Less than Cumulative frequency of the data obtained is represented in the following table. Which central tendency will be most appropriate for the data set? Length (mm) Less than cum freq Less than 127 3 127-135 136-144 17 145-153 29 154-162 34 163-171 38 172-180 40 O a. mode O b. mean O. midrange O d. median
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
Assume the cholesterol levels of an adult can be described by a Normal model with a mean of 183 mg/dL and a standard deviation of 27. Complete parts a through e. b) What percent of adults do you expect to have cholesterol levels over 190 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 3 c) What percent of adults do you expect to have cholesterol levels between 150 and 160 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 4 d) Estimate the interquartile range of cholesterol levels. IQR=enter your response here mg/dL (Round to the nearest integer as needed.) Part 5 e) Above what value are the highest 15% of adults' cholesterol levels? enter your response here mg/dL (Round to the nearest integer as needed.)
Suppose you are interested in the population of all college students in the US and that you collect data from all students from FIT. Is the following a parameter or statistic? The proportion of your school's students who are Business Majors a. parameter b. statistic