Part 11) A sample of 50 observations is taken from a normal population, with µ=100 and o=10. If thepopulation is finite with N=250. Find:a) P(X > 103)b) P(98 < X < 101)c) Repeat above exercise with N=500

Answered: Image /qna-images/answer/8796ac86-f8f5-4c82-be26-b71d0c34bb56.jpg

Answered: 1) A sample of 50 observations is taken…

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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Q.4-56
6. The resting pulse rate, X, for a particular population of adult women is normally distributed w mean of 74 beats per minute (bpm) and a standard deviation of 6 bpm. a) Find P(66 s X s 78) b) Find the 60th percentile of women's resting heart rates. c) If a sample of four women is randomly selected, find P(X > 79). d) Suppose now that the sample size is greater than four. Will the probability P(X > 79) be greater than, less than or the same as the value found in part c)? Explain.
= 16. A simple random sample of size n = 64 is obtained from a population with u = 77 and o = (a) Describe the sampling distribution of x. (b) What is P (x>79.5) ? (c) What is P (xs72.9)? (d) What is P (75.9 79.5) = (Round to four decimal places as needed.) (c) P (xs72.9) = (Round to four decimal places as needed.) (d) P (75.9
A sample of n=25 observations is drawn from a normal population with µ-100 and o-20. Find the following. i) P(X<96) ii) P(96
Determine mu Subscript x overbarμx and sigma Subscript x overbarσx from the given parameters of the population and sample size. muμequals=7171, sigmaσequals=3232, nequals=6464 mu Subscript x overbarμxequals=nothing sigma Subscript x overbarσxequals=nothing Enter your answer in each of the answer boxes.
A population of values is normally distributed with μ=58.8 and σ=24.3a) Find P61 for a single randomly selected value. This answer represents the score separating the bottom 61% scores from the top 39% scores. P61 = b) Now draw a random sample of size n=180 . Find P61 for the sampling distribution. This answer represents the score separating the bottom 61% of the sample means from the top 39% of the sample means. P61 = Enter your answers as numbers accurate to 1 decimal place.
3. Suppose the with expected life of capacitor is S2 morths upen standerd deviatian of I8 manths. New. capacitors are ina crate containing 36 capacitors Shipped a) State distributon of the life span for tte Crpaieitors in the name of the theorem which sayi that the average a crate approximately normal. We Gonside a sample size or more to be Taege. is of 30 b) what is the life ハo 4 royt spcn pobabilly CS ScapmetrLiten Coa Beanoar be greate then so manths? aver age of the
A set of data is found to have a µ = 8 and a o = 3. What is o? for this data set? Suppose each data value was multilplied by 3. What is u of the resulting data set? What is o of the resulting data set? What is o of the resulting data set?
A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?
a) Let X₁, X2, X3,..., X₁ be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter 0 and Y = ===1 X₁. n b) i) Show that y follows a chi-square distribution with 2n degrees of freedom. ii) What is the value of the sample size n, if P(Y > 20.4831) = 0.025? iii) What is the value of sample size n, if P(|Y - 2n| <40) ≥ 0.025? iv) Use the Central Limit Theorem to compute P(100 < Y < 115), for n = 40. Let X₁, X2, ..., X5 be a random sample of size 5 from the standard normally population. If the statistic Y is given by Y = X1 X2 X3 ₁²+X3² +X5² i) Briefly explain why Y follows a Student's t distribution with 3 degrees of freedom. ii) Compute the probability that Y is between 2.35 and 5.84. iii) What is the mean and variance of the statistic Y?
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1) A sample of 50 observations is taken from a normal population, with µ=100 and o=10. If the population is finite with N=250. Find: a) P(X > 103) b) P(98 < X < 101) c) Repeat above exercise with N=500