A census in a particular country reported the distribution of family size shown.a) Find the mean and standard deviation of family size, treating "6 or more" as 6.b) If a random sample of 36 families is taken, would you expect their sizes to follow a Normal model? Explain.c) Consider the mean sizes of random samples of 36 families. Describe the sampling model for these means (shape,centre, and spread).a) The mean is and the standard deviation is.(Round to three decimal places as needed.)Size6 or more5431Percent of Families2.16.214.917.131.628.1D

The distribution of family size is given below:SizePercent of families6 or…

Answered: A census in a particular country…

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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Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 years
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 39 ounces and a standard deviation of 10 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 29 and 69 ounces? c) What percentage of the widget weights lie below 59 ?
Assume that assumptions MLR 1-4 hold and assumptions MLR 5-6 are violated. What are the consequences of MLR 5-6 being violated?
Consider the data set A (2,5,5,5,6,8) A) find the mode, median and mean. B) use the computation formula the compute the standard deviation
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?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 7 ounces.a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 54 and 75 ounces? %c) What percentage of the widget weights lie above 40 ? %
Consider the following data set. You may assume that the mean of this data set is x¯ = 7. 8 10 3 5 7 5 11 a) Find the range of the data set. b) Find the standard deviation of the data set. c) How many of the seven data points lie within one standard deviation of the mean?
We rolled the dice twenty times and wrote down the results: 6 336 356146 3 55 2 2 2 2 3 2 3 a) Detraine the arithmetic mean, mode and median of the sample. Determine the variance and standard deviation of the sample. c) Determine he range of the sample. A Determine the lower and upper quartiles of the sample. Draw box plot.
a) In the process of designing an airplane, men were measured to determine the size of the seat that was needed. Men have mean hip width of 36.6 cm and a standard deviation of 2.5 cm. Copy and complete the picture below as we have done in class. b) What percentage of men will have hip widths between 36.6cm and 44.1 cm c) About 95% of men will have hip widths between what lengths?
Students at a school took a 35-point exam. Below is a random sample of exam scores. 25 35 22 19 25 31 21 27 10 22 a) Create a grouped frequency distribution with a class width of 6. Include a title, class limits, class boundaries, and midpoints b) Again using the grouped frequency distribution, find the mean and standard deviation of the data. How do these values compare to the mean and standard deviation for the original data?

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