Answer the following questions. It is much better to submit using an MSExcel file. Segregate each item using sheets.Question No. 1 (for the variance, research for the formula)Suppose that we will take a random sample of size n from a population having mean u and standard deviation o. For each ofthe following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean T:aμ= 10 , σ=2,n = 25bu = 500, o= .5,n = 100Cu = 3, o =.1,n = 4du= 100, o= 1,n = 1,600Question No. 2Suppose that we will randonmly select a sample of 64 measurements from a population having a mean equal to 20 and astandard deviation equal to 4.a Describe the shape of the sampling distribution of the sample mean T. Do we need to make any assumptionsabout the shape of the population? Why or why not?b Find the mean and the standard deviation of the sampling distribution of the sample mean I.Question No. 3If the sample size n is large, the sampling distribution of p is approximately a normal distribution. What condition mustbe satisfied to guarantee that n is large enough to say that p is approximately normally distributed?Question No. 4In each of the following cases, determine whether the sample sizen is large enouglh to say that the sampling distributionof p is a normal distribution.a p= 4,n = 100b p = .1,n = 10C P=.1,n = 50d p= .8,n = 400e p= .98,n = 1,000f p= .99,n = 400

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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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Question 8 The volume of a hand sanitizer filled into a container is contimuous uniformly distributed between 274 and 290 millimeters. What are the mean and variance of the volume of hand sanitizer? 228 and 36.67 None 282 and 36.67 282 and 21.33
Question 10 The average and standard deviation of the weights of 350 Indian students are 55 kg and 3 kg respectively. And the average and standard deviation of weights of 450 German students are 60 kg and 4 kg respectively. a. Determine the combined mean weight of all those Indian and German students. b. Find the standard deviation of weight for the combined group of students.
Question 8 A survey found that women's heights are normally distributed with mean 64.2 inches and standard deviation 2.6 inches The survey also found that men's heights are normally distributed with mean 69.6 inches and standard deviation 3.4 inches Most of the live characters employed at an amusement park have height requirements of a minimum of 57 inches and a maximum of 64 inches 1. The percentage of men who meet the height requirement is _____ Circle which one is correct 2. Since most men (meet/do not meet) the height requirement, it is likely that most of the characters are (women/men) 3. The new height requirements are a minimum of______ inches and and maximum of _______inches
QUESTION 3 Two classes A and B of 200 students each take the same examination, out of 100 points. The average grade for class A is 80 with a standard deviation of 10 point s. The average grade for class B is 75 with a standard deviation of 15 points. Assume that the grades in both classes are normally distributed. If the passing grade is 60, how many more students passed the examination in class A than in class B?
Question 7.2.10 The mean monthly out-of-pocket cost of prescription drugs for all senior citizens in a city is $370 with a standard deviation of $80. Let z be the mean of such costs for a random sample of 16 senior citizens from this city. Find the mean and standard deviation of the sampling distribution of z. H = $ i oz = $ i
QUESTION 20 The time spent on social media platforms per day by adults has a distribution with a mean of 125 minutes and a standard deviation of 16 minutes. A random sample of size 16 adults is selected from the population. Find the mean and standard error of the sample mean time spent on social media platforms per day.
QUESTION 23 Suppose the image below shows the distributions of scores on a standardized test for upperclassmen from two rivel high schools. 015 Which of the following statements can be made? O A. The two high schools' upperclassman have the same mean and same variance. O B. The two high schools' upperclassman have the same mean but difference variance. O C. The two high schools' upperclassman have a different mean and a different variance. O D. None of the statement above can be inferred from the image.
QUESTION 20 The time spent on social media platforms per day by adults has a distribution with a mean of 125 minutes and a standard deviation of 16 minutes. A random sample of size 16 adults is selected from the population. Find the mean and standard error of the sample mean time spent on social media platforms per day.
Just need #4 In 1905 R Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight”. According to the study, brain weights of Swedish men are normally distributed with a mean of 1.4 kg and a standard deviation of 0.11 kg. Determine the sampling distribution of the sample mean for samples of size 3. Repeat part (a) for samples of size 12. That is, for parts (a) and (b) discuss the distribution, mean and standard deviation of the sample means for the different sample sizes. Use Excel to construct graphs similar to those shown in Fig 7.4 on page 321 in the textbook. Hand in your excel output and show the data you used to construct the plots, as well as the plots Do you need to assume that brain weights of Swedish men are normally distributed to answer parts (a) and (b)? Explain your answer
Question # 7 The frequency distribution presented describes the speed at which young people drove to get to take their classes to university. These young men were driving on a highway with a speed limit of 35 mi / h. Calculate the variance and standard deviation. Frequency. speed 42-45 25 46-49 16 50-53 8 54-57 4 58-61 2
QUESTION 17 A set of X and Y scores are obtained from a sample of n = 36 individuals. A Pearson value of r = 0.50 is obtained for the relationship between the X and Y scores. What is the value for the standard error for r ( sr)? a. sr = 0.09 b. sr = 0.15 c. sr = 0.02 d. sr = 0.07

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