b.Let X1, X2, X3, and X4 represent the weight of shipment packages at a certainshipment facility. Suppose they are independent normal random variables with meansH1 = 3.6, 42=0.9, 3= 1.8, 4 = 7.4 pounds and variances o = = =Find P (2X₁ + 1X2 + 3X3 + 1X4 ≤ 17.6).= 1.

Answered: Image /qna-images/answer/d310445f-c11f-4114-bdb1-474799899192.jpg

Answered: shipment facility. Suppose they are…

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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Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,8,4,9,8,8,6,7,9,11,11,11,13,12,16,14,9,11,18,20,15,10,16,20,20,8,20,21,23 O Shortboard: 6,4,4,6,8,8,6,9,4,6,7,5,9,7,4,16,13,11,13,13,11,15,10,10,13,14,11,21,21,12 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: HL = Hs O B. Ho: HL = Hs OC. Ho: HL # Hs Ha: HL Hs O F. Ho: HL = Ps Ha: HL = Ps Ha: HL = Hs Ha: HL > Hs Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places…
A researcher takes sample temperatures in Fahrenheit of 16 days from Miami and 14 days from Atlanta. Use the sample data shown in the table. Test the claim that the mean temperature in Miami greater than the mean temperature in Atlanta. Use a significance level of α=0.10α=0.10.Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Miami Atlanta 68.3 73.6 83.1 69.3 79.1 54.9 72 81.1 72.8 78.6 83.3 54 82.7 36.1 80.7 44.3 87 58.4 83.1 50.8 77.4 60.5 86.1 61.2 76.3 46.8 74.5 54.4 83.3 78.5 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value = The p-value is The correct…
I asked this question before, and got an answer, but I have a question about the response that was given. The original question was: For an initial investment of 100, an investment yields returns of X1 and X2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability that the rate of return of this investment is greater than 10%? In the answer that was given it says that the gain of the investment is X1+X2. My question is why can we just group those together as one amount? I was given a formula in my class that says the return on the investment would be the solution to the equation: -100+ X1/(1+r) + X2/(1+r)2=0. If this formula is used, a different solution would result for this problem.
You own a company called Company X, which has monthly sales that are independent normal random variables with mean 100 and variance 10. Your rival company, called Company Y, has monthly sales that are independent normal random variables with mean 110 and variance 20. (a) Find the probability that your company, Company X, makes more than $307 this quarter (a quarter is 3 months). (b) What is the probability that your company makes more money than your rival company this month?
Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.) (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?

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shipment facility. Suppose they are independent normal random variables with means 1 = 3.6, 2=0.9, 3= 1.8, 4 = 7.4 pounds and variances o = = = = 1. Find P (2X₁ + 1X2 + 3X3 + 1X4 ≤ 17.6).