Question

True or False: The population of incomes in a particular community is thought to be highly...

True or False: The population of incomes in a particular community is thought to be highly right-skewed with a mean equal to $36,789 and a standard deviation equal to $2,490. Based on this, if a sample of size n = 36 is selected, the highest sample mean that we would expect to see would be approximately $38,034.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Sample mean = = $38,034

= $36,789

=  $2,490

Standard error of sample mean, se = / = 2490 / = 415

z value for sample mean is,

z = ( - ) / se = (38034 - 36789) / 415 = 3

We can have values of z greater than 3 for a highly right-skewed distribution because of long right tail. Thus the statement that the highest sample mean that we would expect to see would be approximately $38,034 is False.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a very large population, the distribution of annual income is skewed, with a long right...
In a very large population, the distribution of annual income is skewed, with a long right tail. We take a Simple Random Sample of n people from this population and record the mean annual income of the people in the sample. Use this information to answer questions a, b, and c.(a) If n = 6, we would expect the distribution of sample means to be A. skewed to the left. B. an approximately Uniform distribution. C. skewed to the right....
True or False? 1. σM  equals the standard deviation divided by the square root of the sample...
True or False? 1. σM  equals the standard deviation divided by the square root of the sample size 2. Larger samples more accurately reflect the population than smaller samples 3. If n = 1, the standard error will equal the standard deviation of the population 4. If a population is skewed, the distribution of sample means will never be normal 5. The mean for the distribution of samples means is equal to the mean of the population 6. As the sample...
Q1. Read the statement below and decide whether it is True or False. For highly skewed...
Q1. Read the statement below and decide whether it is True or False. For highly skewed data the sample median is a more sensible measure of centre than the sample mean. a) True b) False Q2. Read the statement below and decide whether it is True or False. Only properly designed and well executed experiments can reliably establish causation. a) True b) False Q3. Read the statement below and decide whether it is True or False. If the tail proportion...
1. True or False: If P(A) is the probability that an event A will occur, then...
1. True or False: If P(A) is the probability that an event A will occur, then 0< (or equal to) P(A) < (or equal to) 2. 2.True or False: If S represents the sample space of a random process, then P(S) =1 3. True or False: According toe the CLT, is a random variable X does not have a normal distribution in a population, the distribution of all sample means is approximately normal as long as the sample size is...
The _________ is calculated by summing all data values and dividing by how many there are....
The _________ is calculated by summing all data values and dividing by how many there are. The ______is a number that splits the data set in half.ere are. The mean is resistant. True or False A number that is not affected much by extreme values, such as the median, is ______. Match the relationship that holds for most data sets between the shape of the histogram and the values of the mean and median. ____ Skewed to the left ____...
Please judge TRUE or FALSE for each statement assuming an SRS sampling scheme. ____ A simple...
Please judge TRUE or FALSE for each statement assuming an SRS sampling scheme. ____ A simple random sample of size n is defined as a sample of size n chosen in such a way that every set of n units in the population has an equal chance to be the sample actually selected. ____ Every unit in the population has a known nonzero chance of being selected. ____ Every unit in the population always has the same chance of being...
1) The salaries of human resource managers are a numerical variable. True or False   2) Suppose...
1) The salaries of human resource managers are a numerical variable. True or False   2) Suppose 300 randomly selected human resource managers were surveyed and asked to identify in which group their current salary lies—25,000 to 40,000, 40,001 to 55,000, 55,001 to 70,000, 70,001 to 85,000, or 85,001 or higher. Current salary in this scenario is which of the following? a) biased statistic b) categorical variable     c) numerical variable d) parameter 3) The sample obtained in this study is the...
A tablet PC contains 8152 music and video files. The distribution of file size is highly...
A tablet PC contains 8152 music and video files. The distribution of file size is highly skewed. Assume that the standard deviation for this population is 0.82 megabytes (MB). (a) What is the standard deviation of the average file size when you take an SRS of 40 files from this population? (b) How many files would you need to sample if you wanted the standard deviation of ¯x to be no larger than 0.10 MB? (c) Explain why it may...
It is known that the population mean length of a song on a particular radio station...
It is known that the population mean length of a song on a particular radio station is 3.1 minutes, the population standard deviation of the lengths of the songs is 7.48 minutes and the distribution is slightly skewed to the right.   A random sample of 28 of the songs played at this particular radio station are selected and the mean length of these songs is determined. According to the Central Limit Theorem, the sample mean of the 28 songs belongs...
We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers...
We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=20.6. We would like to be 90% confident that the esimate is within 5 of the true population mean. How large of a sample size is required? n=??????????? ROUND UP ANSWER TO THE NEAREST WHOLE NUMBER
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT