NW 5.10 Consider the following probability distribution:p(x)33mean.=33N13a. Find u.b. For a random sample of n = 3 observations from thisdistribution, find the sampling distribution of the samplec. Find the sampling distribution of the median of a sampleof n = 3 observations from this population.d. Refer to parts b and c, and show that both the mean andmedian are unbiased estimators of μ for this population.e. Find the variances of the sampling distributions of thesample mean and the sample median.f. Which estimator would you use to estimate μ? Why?

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: NW 5.10 Consider the following…

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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Q. 1In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a randomsample of 25 students who score a mean of 53.a. Shine claims that these students don’t have very high self-esteem, because they are only 3points above the population mean. Why can’t she make this claim merely by looking atthe X? .b. What should she do? .c. What is the z-score for this sample? .d. What conclusion do you draw about your sample? .
5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
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
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3. Fill in the blank spaces of table B1 using information compiled in table B. Table B Breusch-Godfrey Serial Correlation LM Test: Prob. F(2,55) Prob. Chi-Square(2) F-statistic 11.70006 0.0001 Obs*R-squared 17.90823 0.0001 Table B1: Breusch-Godfrey Serial Correlation LM Test F-statistic: Probability: a. Write down the null and alternative hypotheses underlying Breusch-Godfrey serial correlation (autocorrelation) test. b. Will you accept or reject the null hypothesis based on the Breusch-Godfrey test for residual autocorrelation? Why or why not?
Question 9 Suppose that X is normally distributed with a mean of 40 and a standard deviation of 15. What is P(X> 52.45)? a) O 0.203 b) O 0.597 c) O 0.206 d) O 0.297 e) O 0.207 f). O None of the above
Question 15 A distribution X - U(1, 13). Find k where P(x < k) = 0.7. O 9.4 O 3.4 O 8.4 07 Question 16 An airline knows from experience that the distribution c approximately normal with u = 15.5 and o = 3.6. What is the probability that during a given week the airli * 0.8944
Suppose that we will take a random sample of size n from a population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean: µ = 3, σ = .6, n = 8
Question 4 According to the WHO, the birth weight for male babies born full-term is normally distributed with a mean 90.1 oz and a standard deviation of 17.3 oz. Let X be the birth weight of a randomly selected male baby born full-term. 1. Describe the probability distribution of X and state its parameters and σ: X Select an answer Select an answer XTBZEN a. less than 128.5 oz. b. between 61.9 and 82.1 oz. c. more than 131.7 oz. X² (μ = 2. Find the probability that the birth weight of a randomly selected male baby born full-term is 3. Find the 65-th percentile for the birth weight. 0 = (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) oz (Round the answer to 1 decimal place)
Answer the number 14 question.
3

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