Given two normal random variables:X-Normal(μ-6,0-15) and Y-Normal(u=15,0-6).What can be said about the points x=3 and y=15 when plotted in a STANDARDnormal distribution?[Select][Select]x and y are equalx is to the left of yx and y both lie on the left side of the distributionx is to the right of y

The provided information is X~N(µ=6,σ=15) and Y~N(µ=15,σ=6) When x=3 x-µσ=3-615=-0.2And for…

Answered: Given two normal random variables:…

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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Below is a graph of a normal distribution with mean u= 3 and standard deviation o= 2. The shaded region represents the probability of obtaining a value from this distribution that is greater than 5. 0.4- 0.3+ 0.2+ 0.1+ Shade the corresponding region under the standard normal curve below. 0.3- 0.2+ 0.1+ イ

Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 2.8%. 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 ? = 5.0%. Do these data indicate that the dividend yield of all bank stocks is higher than 5.0%? Use ? = 0.01. (a) What is the level of significance? (Enter a number.) ____________ Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) __________________ (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) _____________
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 3.3%. 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 x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is ? = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use ? = 0.01. (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? H0: ? > 4.9%; H1: ? = 4.9%; right-tailedH0: ? = 4.9%; H1: ? < 4.9%; left-tailed H0: ? = 4.9%; H1: ? ≠ 4.9%; two-tailedH0: ? = 4.9%; H1: ? > 4.9%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known ?.The Student's t, since n is…
A random variable L is being modelled as a discrete mixture of three Uniform distributions: Uniform on [0,10], Uniform on [0,20] and Uniform on [0,100]. You are given: 500 The median of L is 31 The mean of L is 33.5 Calculate the variance of L.
It was reported that 53% of people who had coronary bypass surgery in a recent year were over the age of 65. Fifteen coronary bypass patients are sampled. What is the probability that exactly 9 of them are over the age of 65? O 60.95% O 78.75% O 39.05% O 17.80%
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 84 107 99 110 86 89 The sample mean is x ≈ 94.5. 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) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 85; H1: μ < 85; left-tailed H0: μ = 85; H1: μ > 85; right-tailed H0: μ > 85; H1: μ = 85; right-tailed H0: μ = 85; H1: μ ≠ 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's…
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). 91 86 80 107 99 108 86 89 The sample mean is x ≈ 93.3. 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 ? = 12.5. The mean glucose level for horses should be ? = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05. (a) What is the level of significance? b. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since we assume that x has a normal distribution with known ?.The Student's t, since n is large with unknown ?. The standard normal, since we assume that x has a normal distribution with unknown ?.The standard normal, since we assume that x has a normal…
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). 91 88 82 103 97 108 84 91 The sample mean is x ≈ 93.0. 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 ? = 12.5. The mean glucose level for horses should be ? = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 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? H0: ? = 85; H1: ? > 85; right-tailed H0: ? > 85; H1: ? = 85; right-tailed H0: ? = 85; H1: ? ≠ 85; two-tailed H0: ? = 85; H1: ? < 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.…
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). 94 87 83 104 98 108 84 89 The sample mean is x = 93.4. 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,: u + 85; two-tailed O Ho: H = 85; H: µ > 85; right-tailed O Ho: H > 85; H,: µ = 85; right-tailed O Ho: H = 85; H,: µ < 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume…
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 88 80 107 97 112 83 87 The sample mean is x ≈ 93.6. 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.† Use α = 0.05. Find (or estimate) the P-value. (Round your answer to four decimal places.)
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). 91 87 81 106 101 108 83 88 The sample mean is x ≈ 93.1. 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 α = 0.05. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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). 93 87 81 104 98 110 85 90 The sample mean is x ≈ 93.5. 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 α = 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? H0: μ = 85; H1: μ < 85; left-tailedH0: μ = 85; H1: μ ≠ 85; two-tailed H0: μ = 85; H1: μ > 85; right-tailedH0: μ > 85; H1: μ = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n…

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