X is a normally distributed random variable with unknown µ and aknown variance, o. X and s are the unbiased, sample mean andsample variance estimates of u and o respectively calculated from aQ8.small random sample. The 95% C.I. is calculated as:A. X±Zo.025.|02B. µ±Zo.025.s2C. X±Zo.025s2D. µ ± Zo.025.nO A. AВ. ВО С. СO D. D

Given,sample size=nsample mean=x¯population standard deviation=σα=1-0.95=0.05α2=0.025

Answered: Q8. X is a normally distributed random…

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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10.2.3 WP GO Tutorial The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, ² 0.35,₂ = 8.68, and s² = 0.40, respectively. Assume that o and that the data are drawn from a normal distribution. - = 0 a. Is there evidence to support the claim that the two machines produce rods with different mean diameters? Use α = 0.05 in arriving at this conclusion. Find the P-value. b. Construct a 95% confidence interval for the difference in mean rod diameter. Interpret this interval.
Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.
Y 1.5 3 3 3.5 4 5 5.5 6 D. Given the following values for sample of Y. Assume Y₁ Y₂, ...,Y, are iid normal distributed 12. Find the sample average of the following 13. We know Y, variance is 0.24, what is the standard deviation of Y 14. If Y₁ Y₂,...,Y, are iid normal distributed, what is Pr(Y ≤ 3.5) using z score table
Q5) The following data represent the yield on 90 consecutive batches of ceramic substrate to which a metal coating has been applied by a vapor-deposition process. Find the sample mean, median, variance and coefficient of variation of the given data. 94.186.1 95.3 84.9 88.8 84.6 94.4 84.1 93.2 90.4 94.1 78.3 86.4 83.6 96.1 83.7 90.6 89.1 97.8 89.6 85.1 85.4 98.0 82.9 91.4 87.3 93.1 90.3 84.0 89.7 85.4 87.3 88.2 84.1 86.4 93.1 93.7 87.6 86.6 86,4 86.1 90.1 87.6 94.6 87.7 85.1 91.7 84.5 95.1 95.2 94.1 96.3 90.0 86.1 92.1 94.7 89.4 90,6 89.6 90.0 90.1 92.4 94.3 96,4 87.3 93.2 88.2 86,6 86.7 86,4 91.1 88.6 92.4 84.1 94.3 90.6 82.6 97.3 91.2 83.0 85.0 89.1 83.1 96.8 87.5 84.2 85.1 90.5 95.6 88.3
Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
1. Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution. A. 56.73 B. 75.63 C. 73.56 D. 76.05 2. Calculate the variance for the distribution given in figure 1. A. 429.84 B. 492.98 C. 924.86 D. 942.99 3. Calculate the standard deviation and the co-efficient of variation respectively for the distribution given in figure 1. A. 73.20, 28.20 B. 20.73, 0.28 C. 27.30, 20.28 D. 0.28, 0.21
Compute mean, variance, and standard deviation
4:40 Amylab.pearson.com Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. If sample data consist of weights measured in grams, what units are used for these statistics and parameters? a. The symbol for sample standard deviation is b. The symbol for population standard deviation is c. The symbol for sample variance is d. The symbol for population variance is
Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches and a standard deviation of σ=σ= 2.7 inches. For a random sample of 28 puffins, answer the following: What is the mean of the distribution of x¯ ?

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