Let X be the random variable with the density represented below. The question deals with the blue area below. Whichof the following statements are true?The normal distribution N(0, 1)0.4-0.3-0.1-0.0The answer isTo obtain it in R, one types pnorm(-1,0,1)Can you explain why?Density f(x)

From the given graph, we need to find P(X>1)

Answered: Let X be the random variable with the…

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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Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 82 105 97 112 86 89 The sample mean is x ≈ 94.0. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ= 12.5. The mean glucose level for horses should be μ= 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05. (a) Compute the z value of the sample statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
I need help with parts D and C only. Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 2.9%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use α = 0.01. (a) What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.1%; H1: μ > 4.1%; right-tailedH0: μ = 4.1%; H1: μ < 4.1%; left-tailed H0: μ > 4.1%; H1: μ = 4.1%; right-tailedH0: μ = 4.1%; H1: μ ≠ 4.1%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with…
Can the normal distribution be used to approximate the random variable x? O A. No, because nq < 5. O B. No, because np < 5. O C. Yes, because np 25 and nq 2 5. O D. No, because np < 5 and nq < 5.
Which are the properties of the standard normal distribution. ( select that all apply) -The total area under the probability density curve is 1 -It is symmetric about the mean -the z score can not be negative -the density curve is a straight line
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 80 103 99 110 82 87 The sample mean is x = 92.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 85; H,: µ + 85; two-tailed O Ho: H = 85; H,: µ > 85; right-tailed O Ho: H = 85; H,: u 85; H,: u = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal…
The life of a certain type of interconnection material for an electronic device in years is denoted by x which follows the Weibull distribution. The parameters for the distribution are a=0.03 and B=2. What is mean of the random variable x? 50 6.3 33.3 5.1
The joint distribution of two random variables X and Y is tabulated below. Complete the table by completing the marginal distributions of X and Y of.
Given that z is a standard normal random variable, what is the value of the z score (a) if P(z2a) =0.1949 ? A inegative 0.51 B D0.51 Dinegative 0.86 C20.86 space
stat 2b
If z is a standard normal variable, then P ( z > 2.17 ) is:
Prob & Stat 1
q18

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Let X be the random variable with the density represented below. The question deals with the blue area below. Which of the following statements are true? The normal distribution N(0, 1) 0.4-