According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of 23 hours per week at home with a standard deviation of 10 hours. a. Identify the population and variable. b. For samples of size 100, find the mean and standard deviation of all possible sample mean hours worked per week at home. c. Repeat part (b) for samples of size 1000. d. What effect has increasing the sample size on the mean and standard deviation of all possible sample mean hours worked per week at home

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

c)

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

after simplifying it i got: -36.25 as my answer. hope that !

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.