18.| Medical: Hemoglobin Count Let x be a random variable that representshemoglobin count (HC) in grams per 100 milliliters of whole blood. Thenx has a distribution that is approximately normal, with a population mean ofabout 14 for healthy adult women (see reference in Problem 17). Supposethat a female patient has taken 10 laboratory blood tests during the past year.The HC data sent to the patient's doctor are1518 1619141214 17 1511i. Use a calculator with sample mean and sample standard deviation keys toverify that x = 15.1 and s 2.51.ii Does this information indicate that the population average HC for this%3Dpatient is higher than 14? Use a = 0.01.%3D

Answered: Image /qna-images/answer/a5035096-f0d3-4c53-9ac7-4b59df6121c4.jpg

Answered: 18.| Medical: Hemoglobin Count Let x be…

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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. Given a normal random variable X with mean μ = 100 and variance o² = 49 if we randomly observe X=30, is this an unusual observation? (a) This would be an unusual observation because it lies less than 3 standard deviations away from the mean. (b) This would not be an unusual observation because it lies less than 3 standard deviations away from the mean. (c) This would be an unusual observation because it lies more than 3 standard deviations away from the mean. (d) This would not be an unusual observation because it lies more than 3 standard deviations away from the mean.
2.2. Let Y₁, Y₂Yn denote a random sample from a gamma distribution with each Y-gamma (0; B) with known. Find a sufficient statistic for 8.
16. Standardized test scores are normally distributed with an average of 500 and a variance of 100. What is the chance that a score is between 485 and 550? A. 0.2511 B. 0.3520 C. 0.6554 D0.9332
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
10. Claim: P₁ = P₂; α = 0.05. Sample statistics: x1 = 265, n₁ - X2 204, 2 - 301, 247 'D
suppose the mean is 8 and 1/3 and the population variance is 6 and 8/9 and a>9 x 5 9 a frequency 3 f 2 a=? f=?
2. A school has 6,000 students with a mean weight of 80lbs, with a standard deviation of 25 lbs. If you draw a random sample of 50 students, what is the mean µz , variance o?z , and standard deviation oz of the sampling distribution of the sample mean? (Show solution to gain point in each correct answer Hx = o?x = Oz =
5. A quality control engineer found that the inner and outer diameters of their ball bearings, denoted respectively as X and Y, are random variables with E(X|Y = y) = 0.7 – 0.3y inches and Var(X|Y = y) = 0.0004y for all values of y. From his past experience he also knew that the mean and variance of the outer diameters were E(Y) = 0.7 inches, and Var(Y) squared inches. = 0.0001 %3D • (i) What are the conditional random variables, E(X|Y) and Var(X|Y)? • (ii) Find the mean of the inner diameters, E(X). • (ii) Find the variance of the inner diameters, Var(X).
18. A set of n = 52 pairs of scores (X and Y values) in a research study has a Pearson correlation of r = -0.7. What percentage of the variance for the Y scores is predicted by its relationship with X?
24. Show that the mean x of a random sample of size n from the distribution : 1 f (x, €) =e, 0 0 x/e e? is the M.L.E. of 0 with variance
2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall between?

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