10. The results of Statistics Test for 2 groups of Engineering students, 1 BTA and 2 BTA is normallydistributed with N(80, 2²) and N(70, 12), respectively. Two samples of 9 and 16 students arerandomly selected from 1 BTA and 2 BTA, respectively. Find the probability that the mean of1 BT A is lower than the mean of 2 BTA?

Answered: Image /qna-images/answer/89bdfe16-6cca-493c-945d-8863cd349326.jpg

Answered: 10. The results of Statistics Test for…

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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4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
An elevator has a placard stating that the maximum capacity is 1344lb long dash—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1344 divided by 8 equals 168 pounds.1344/8=168 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 27 lb) Does this elevator appear to be safe? The probability the elevator is overloaded is____
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
Suppose that the fraction of defective modems shipped by a data-communications vendor has an approximation beta distribution with a=5 and b=21. find the mean and variance of the fraction of defective modems per shipment What is the probability that a randomly selected shipment will contain at least 30 % defectives? What is the probability that a randomly selected shipment will contain no more than 5 % defectives?
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round
59
A manager of a product sales group believes the number of sales made by an employee (Y) depends on how many years that employee has been with the company (X1) and how he/she scored on a business aptitude test (X2). A random sample of 8 employees provides the following (refer Table 4): Employees y X1 X2 1 100 9 6 2 90 4 10 3 80 8 9 4 70 5 4 5 60 5 8 6 50 7 5 7 40 2 4 8 30 2 2 (a) Run a regression analysis based on the data in Table 4 using Mic. Office EXCEL. Based on theoutput, propose a regression equation that can be used to predict paralegal GPA.(b) Interpret the coefficient value of each independent variable in the constructedmodel(c) Is each independent variable sharing a significant linear relationship with the dependent variable?Verify at 0.05 level of significance. Make your conclusion based on the p-value in the EXCEL output.
40. We will take a random sample of 30 vehicles of a certain make and model and measure the fuel efficiency in miles per gallon (mpg) of each of them. We will conduct a hypothesis test at the 10% level of significance to determine whether there is evidence that the true mean fuel efficiency of all cars of this make and model differs from 32 mpg. What is the probability of failing to reject H, if the true mean is in fact 32 mpg? (A) 0.10 (B) 0.95 (C) 0.05 (D) 0.90 (E) 0.20
7
7. A study was conducted to compare the amount of salt in potato chips. Random samples of recorded. Assume the populations are normally distributed with equal variances. The 7 A study was conducted to compare the amount of salt in potato chips. Random sampies o. three varieties were obtained and the amount of salt in each 1-Oz portion of potato chp recorded. Assume the populations are normally distributed with equal variances. results are given here: BBQ Cheese- Amount of salt (in mg of sodium) 338, 159, 240, 190 235, 251, 233, 255, 260 Variety flavored Olestra-based 164, 150, 149, 170 a) Identify the explanatory variable. b) Identify the response variable. c) State the appropriate hypotheses to test for a difference in means. d) The appropriate analysis to test for a difference in means would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test
The 5 crew members of the exploration team of the spaceship Enterprise under the command of Captain Kirk are 162, 172, 177, 180 and 184 cm in height, respectively. Calculate the expected value and variance of the height of a randomly selected person among these 5 crew members. ( explaining them to someone who does not know anything about the subject)

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