4. Assume that the mean weight of all NFL players is 245.7 pounds, with a standarddeviation of 34.5 pounds. A random sample of 32 NFL players is selected for studyA) What is the Shape, mean (expected value) and standard deviation of the samplingdistribution of the sample mean for this study?B) For the sample of 32 players, what is the probability that the sample mean weight isgreater than 240 pounds?C) What is the probability that an individual player from the NFL weighs more than 240pounds?D) For the sample of 32, what is the probability that the sample mean weight is between 240and 250 pounds?ITNA itan

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Answered: 4. Assume that the mean weight of all…

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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Fifteen randomly selected college students were asked to state the number of hours they slept the night before. The resulting data are: 6 16 7 8 7 796 3 11 9 15 4 7 9 a) Find the mean. b) Find the median. c) Find the standard deviation. d) According to Chebysev's Theorem, at least 75% of the times will fall between what two amounts? Is the theorem accurate for this set of data? Why of Why not? e) Are any of the reported hours "unusually" high? Are any of the reported hours unusually low?
6. A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 Number of 24 Women 1 20 2 35 3 13 4 7 5 1 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the number of children more than one standard deviation greater than the mean? g. For what proportion of the women was the number of children within one standard deviation of the mean?
The first three sub-parts (1, 2, & 3) are already solved.
A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
The normal distribution plays an important role in statistics. Write a briefdescription on each of the following aspects: i) the key features of a normaldistribution; ii) two variables which occur naturally as a normal distribution; iii) a variable where you would prefer to use the median as the measure of centraltendency.
B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
1. We want to investigate whether traffic accidents are more likely on certain days of the week on certain road sections. Which of the following tests best fits the situation?Choose one:a. Two-way analysis of variance OR b. Compatibility test OR c. Paired t-test 2. In which of the following can it be assumed that the sample comes from a normal distribution?Choose one:a. In the Runs test (random test)b. In the compatibility testc. In a two-way analysis of variance
A. Find the sample meanB. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean(please show what numbers you are putting into the formula for part b)
1. A population has a standard deviation of 24. Find the standard error for the following sample sizes: a. N=4 b. N=9 c. N = 16 CLO F2 0 F3 Q F4 112 ů F5 FEB 27 N MacBook Air F6 F7 D
a) To completely specify the shape of a Normal distribution, you must give which of the below: (A) The median and the quartiles (B) The mean and the standard deviation (C) The five-number summary b) What is the mean for the Normal Distribution shown? (A) 0 (B) 2 (C) 4 -8-6-4-20 24 6 8 10 12

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