6.18In Exercise 6.4, we were interested in the causes of death and its relationship to sex, age, race, andso on As we did there, let X be the random variable associated with cause of death and Y be therandom variable representing sex.Cause of DeathFemaleMaleTotalAccidents (unintentional injuries)Congenital ProblemsAssault (homicide)61710241641248282530189234423Other99812662264Total205228064858Source: CDCN/NCHS.What is the probability that a randomly selected male in this age range who died had a congenitalproblem leading to his death?What is the probability that a child aged 1 to 4 who died as a consequence of a homicide wasa female?Find the conditional distribution of cause of death given that the child was a male.Find the conditional distribution of sex given that the death was accidental.eAre the cause of death and sex independent? Justify your answer.

Answered: Image /qna-images/answer/3ce3d252-4acb-4ebd-b631-3297ed782185.jpg

Answered: 6.18 In Exercise 6.4, we were…

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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A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45
Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
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1. How do you determine the values of a random variable? 2. How do you know whether a random variable is continuous or discrete? What is the difference between the two types of random variables?
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 16 6 8 9 10 18 14 13 9 10 25 18 13 8 14 3 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use ? = 0.01. (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.)
Part 2 Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.) %(b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit % upper limit %
Random sample of team members average practice time. Team A: x-bar=52.3, s=9.7, n=125 Team B: x-bar=45.6, s=13.3, n=120 a) Does the data provide convincing statistical evidence that team B spends less time practicing, on average, than those on Team A? b) What type of error, Type I or Typy II, could have been made and the consequences?
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 15 7 7 13 13 20 13 12 5 10 26 22 13 7 11 3 The sample mean is x = 12.3%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use α = 0.01. (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.)
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kgt. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (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 = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…
Write about the role of box-and-plots in statistical random experiments. The double whisker plots of the homework time (in minutes) per night with TV time per night of the same group of the students are: a) What percent of the students work on homework for at least 48 minutes per night? b) What percent of the students watch TV for at least 15minutes per night? c) Is it more common for the students at this university to spend more than 1 hour on homework and more than 1 hour on watching TV also? Explain.

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