5. Suppose monthly starting salaries for new college graduates in economics follow a normaldistribution with mean of $5500 and standard deviation of $2000 and you are interestedin estimating the population mean of $5500 based on a survey of n graduates. Conduct thefollowing simulations to see the sampling distribution of X = X X₁/n, where X; is a monthlystarting salary of ith surveyee.(a) Generate n = 10 data following N(5500, 2000²) and calculate the sample average X.Repeat 100 times and draw a histogram of Xs, using using a class width of $200 withthe first class at $4000 and the last class at $8000.

Given that is a monthly starting salary of surveyee.The monthly starting salaries for new college…

Answered: 5. Suppose monthly starting salaries…

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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Suppose the body mass index (BMI) of a group of athletes has a population mean of 24.98 and a standard deviation of 4.18. If a random sample of 150 athletes is chosen for a study, compute the standard deviation of the sampling distribution of the mean. Give your answer to two decimal places.
An automobile manufacturer wishes to compare the lifetimes of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in miles, for each tire are presented in the following table. Can you conclude that there is a difference between the mean lifetimes of the two brands of tire? Car Brand 1 Brand 2 36,925 34,318 2 45,300 42,280 3 36,240 35,500 4 32,100 31,950 37,210 38,015 48,360 47,800 38,200 33,215 State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. Find the P-value and state your conclusion. a. C.
Suppose that a study of elementary school students reports that the main age at which children begin reading is 5.9 years with the standard deviation of 0.8 years. If a sampling distribution is created using samples of the ages at which 68 children began reading, what would be the standard deviation of the sampling distribution of sample means? Round to 2 decimal places if necessary
The mean wage per hour for all 4000 employees working at a large company is RM 10.50 with a standard deviation of RM 5.30. Let x be the mean wage per hour for a random sample of certain employees selected from this company.
A sample from a Normal population of n=6 observations yields an Xbar=100 and an s=20. What is the 90% CI for the mean?
The question is attached below
Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the F table.) a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Grand mean = b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) SSTR = MSTR = c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) SSE = MSE = d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. (Which one is correct below) H0: μA ≥ μB ≥ μC; HA: Not all population means are equal. H0: μA = μB = μC; HA: Not all population means are equal. H0: μA ≤ μB ≤ μC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations…
Q.1. Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by experts from ministry of natural resources. The values for the past 100 months were as follows: Injuries per Month Frequency of Occurrence 35 1 40 2 13 3 4 4 5 1 6. 1 (a) Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Use the level of significance a = = 0.05. (b) Apply the chi-square test to these data to test the hypothesis that the distribution is Poisson with mean 1.0. Again let a = 0.05.
Do the data for 300 exams suggest a significant deviation from what Professor X’s distribution has been all along?
Suppose that between their first and second years in college, 400 students are randomly selected and given a university grant to purchase a new computer. For student i, y; denotes the change in GPA from the first year to the second year. If the average change is ỹ = .132 with standard deviation s = 1.27, is the average change in GPAS statistically greater than zero?
Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your answer to 1 decimal place.)
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largethe distribution of weights is normalthe distribution of weights is uniform? is…

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