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MATLAB: An Introduction with Applications

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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Question

Determine the mean, variance and standard deviation of the probability distribution following
Number of Credit Cards
P(x)
0.18
1
0.44
2
0.27
3
0.08
4
0.03
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A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below. Statistic Men Women Sample mean 24.51 22.69 Sample standard deviation 4.48 3.86 Sample size 35 40 At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? State the decision rule for 0.01 significance level: H0: μMen= μWomen H1: μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? What is the p-value? (Round your answer to 3 decimal places.)
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The monthly return of a particular stock follows the normal distribution with mean 0.01 and standard deviation 0.14. Find the probability that the monthly return of the stock will be less than 0.16. Select one: a. 0.6554 b. 0.6423 c. 0.1423 d. 0.8577 e. 0.3577
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below. Statistic Men Women Sample mean 24.51 22.69 Sample standard deviation 4.48 3.86 Sample size 35 40 At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? State the decision rule for 0.01 significance level: H0: μMen= μWomen H1: μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) What is the p-value? (Round your answer to 3 decimal places.)
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Weights of carry-on luggage on international flights are normally distributed with mean 14.4 Ibs. and standard deviation 3.6 lbs. The probability that a random sample of 36 carry-on bags will have a MEAN weight less than 15 lbs. is about Note: Enter your answer accurate to TWO (2) decimal places.
0.06 (i) Explain why the above table is a valid probability distribution. (ii) Determine the probability a randomly selected student learns at campus three times per week. (iii) Find the probability a randomly selected student learns at campus at least three times per week. (iv) Calculate the expected number of days per week students learn on campus. (v) By considering the table above, determine the variance of the above probability distribution. Write your answer correct to 4 decimal places. (vi) Hence, find the standard deviation of the above probability distribution. Write your answer correct to 3 decimal places.
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