Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individualsthe population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a randomsample of 65 unemployed individuals for a follow-up study. Use z-table.a. Show the sampling distribution of 2, the sample mean average for a sample of 65 unemployed individuals.E(2)d18.5 (to 1 decimal)(to 4 decimals)

From the given information ,Mean = standard deviation = 3standard deviation = 3sample size = n…

Answered: Barron's reported that the average…

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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At a large university, data were collected on the number of sisters and brothers that each student had. Let therandom variable X represent the number of sisters and the random variable Y represent the number ofbrothers. The distribution of X has mean 1.00 and standard deviation 0.94. The distribution of Y has mean1.07 and standard deviation 1.04. What is the mean of the distribution of X+Y? WHAT IS THE CORRECT ANSWER A. 1.98 B. 2.01 C. 2.04 D. 2.0528 E. 2.07
Find the indicated IQ score. The graph to the right depicts IQ scores of adults doors, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of all male workers in the same state is $760. The standard deviations of the weekly earnings are $86 for the females and $106 for the males. Suppose we take one sample of 316 female workers and another sample of 329 male workers from this state. 1.1. By hand, what is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males? 1.2. By hand, what is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?
Assume that the heights of women are normally distributed with a mean of 62.9 inches and a standard deviation of 2.4 inches. Find Q3, the third quartile that separates the bottom 75% from the top 25%.
According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is µ, kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o, = kg. (Round to four decimal places as needed.) Interpret these answers in context. For the brain weights have a normal distribution with a mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is µ;…
Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 16 women who participated in the study is shown below: 1764, 1612, 1772, 1405, 1685, 1634, 1823, 1770, 1691, 1762, 1485, 1883, 1834, 1578, 1733, 1885 Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance? a. For this study, we should use E-test for a population mean b. The null and alternative hypotheses would be: Ho: ?v|| Select an answer v H.: ?vSelect an answer v c. The test statistic ? (please show your answer to 4 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should fail to reject g. Thus, the final conclusion is that. O The data suggest that the population mean calorie intake for women at your college is not significantly different from 1730 at a = 0.10, so there is not enough evidence to conclude that the…
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 90, the 90th percentile. This is the temperature reading separating the bottom 90% from the top 10%.
Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An
Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%
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A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)
Suppose the mean blood pressure for people in a certain country is 130 mmHg with a standard deviation of 24 mmHg. Blood pressure is normally distributed. State the random variable. The mean blood pressure of people in the country. The standard deviation of blood pressures of people in the country. O The blood pressure of a person in the country. Suppose a sample of size 10 is taken. State the shape of the distribution of the sample mean. The shape of the sampling distribution of the sample mean is unknown since the population of the random variable is normally distributed and the sample size is less than 30. The sampling distribution of the sample mean is normally distributed since the population is normally distributed. The sampling distribution of the sample mean is unknown since the sample size is less than 30. Suppose a sample of size 10 is taken. State the mean of the sample mean. Suppose a sample of size 10 is taken. State the standard deviation of the sample mean. Round to two…

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