How tall? The heights of young men follow a Normaldistribution with mean 69.3 inches and standard devia-tion 2.8 inches. The heights of young women followa Normal distribution with mean 64.5 inches andstandard deviation 2.5 inches. Suppose we select inde-pendent SRSs of 16 young men and 9 young womenand calculate the sample mean heights XM and xw.What is the shape of the sampling distribution ofXM - Xw? Why?Find the mean of the sampling distribution. Showyour work.Find the standard deviation of the sampling distribu-tion. Show your work.

It is given that: For the distribution of height (specified to be normally distributed) of men (in…

Answered: How tall? The heights of young men…

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 true proportion of voters in the county who support a school levy is 0.61. Consider the sampling distribution for the proportion of supporters with sample size n = 187.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
1. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 40 38 36 28 20 16 14 11 10.7 9.3 2. Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find therange, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there anyoutliers, and are they likely to have much of an effect on the measures of variation? 39 45 45 60 65 90 90 135 175 206 250 325 400 2000 2750
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 5.Find the mean of the sampling distribution for the average score (sample mean) of 256 golfers: (Round answer to the nearest integer.)Find the standard deviation of the sampling distribution for the average score (sample mean)of 256 golfers: (Round answer to four places after the decimal.)Is the sampling distribution of the average score (sample mean) approximately normal? Yes, because the sample size is large enough.No, because the sample size is not large enough. What is the probability that the average (sample mean) of the 256 golfers exceeded 67? (Round answer to four places after the decimal.)
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900. Hint for parts a and b a. If we randomly select 15 teachers from that district, can you determine the sampling distribution of the sample mean? No C If yes, what is the name of the distribution? normal The mean? The standard error? b. If we randomly select 68 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error?
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? Skewed to the right with standard deviation 0.7 sibling A Skewed to the right with standard deviation less than 0.7 sibling B Skewed to the right with standard deviation greater than 0.7 sibling C Approximately normal with standard deviation 0.7 sibling D Approximately normal with standard deviation less than 0.7 sibling E Chose A, B, C, D, or E
A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors. Find 90% CI for the proportion of US adults they know most or all their neighbors. The sample size of 200 is large enough to use a normal distribution.
Suppose the true proportion of voters in the county who support a school levy is 0.64. Consider the sampling distribution for the proportion of supporters with sample size n = 185.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
Scaffold 2: In ajob fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. a. Draw a normal curve distribution showing the z-scores and the raw scores. b. How many applicants are below 20 years old?
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30
A random variable is normally distributed with the mean of $1500.00 and standard deviation of $40. Determine the standard error of the sampling distribution of the mean samples with n = 25

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