A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to175 lb. Complete parts a and b below.a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 180.7 Ib and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 70 passengershave a mean weight greater than 130 lb.The probability is 1.(Round to four decimal places as needed.)b. The boat was later rated to carry only 15 passengers, and the load limit was changed to 2,625 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 themaximum capacity of 2,625 lb).The probability is(Round to four decimal places as needed.)

a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: A boat capsized and sank in a lake.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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he level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: Data for Football players n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: Data for Soccer players n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal Test the claim that the mean CPK level has DECREASED for soccer players AFTER exercise (compared to the mean BEFORE exercise), using α=0.10. AFTER practice, do football players have a DIFFERENT mean CPK values compared to soccer players? Test this claim by…
Suppose we want to know the mean number of shurikens thrown each night by ninjas in Konoha village. Getting this information from every ninja in the village would take forever. Instead, we randomly select 20 ninjas from the ninja school that is closest to us. a. Identify the population of interest in this survey b. Describe the parameter of interest in this survey. c. Identify the sample of interest in this survey.
1. Using the following data: 5568 8 9 10 10 12 15 16 19 20 20 21 24 25 25 30 32 Quartile 1 = Quartile 2 = Quartile 3 =
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 Median for Car 2 M=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 1 R=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 2 R=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation for Car 1 s=_________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation…
researchers wanted to determine if carpeted rooms contained more baterica than uncapted rooms. to determine the amount of bacterica in a room reseachers pumpled the air from the room over a petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncaprted rooms. colonies of baterica were alled to form in 16 petri dishes. the results shown below are the baterica counta per cubic foot mean standard deviation sample size capeted room 11.2 2.6774 8 uncapted room 9.7875 3.21 8 you want ti test using sigificance level of 0.01 whether the mean bactiria count is high for carpeted rooms than for uncapteed rooms. test whether the mean bacteria count is high for carpeted rooms thatn uncarpeted rooms. show all steps using the p value method. what is Ho and H1? what is the test statsic and p value? what conclusion can be made?
The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results: Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?
The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal, use the information above to answer problem (7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.

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