# statistics

Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

a. The population size is infinite (to 2 decimals).

b. The population size is N = 50,000 (to 2 decimals).

c. The population size is N = 5000 (to 2 decimals).

d. The population size is N = 500 (to 2 decimals).

1. 👍 0
2. 👎 0
3. 👁 762
1. Some notes on finite population correction factor:

If the population is small and the sample is large (more than 5% of the small population), use the finite population correction factor.

For standard error of the mean, use:
sd/√n

If you need to adjust for the finite population correction factor, use:
sd/√n * √(N-n)/N-1)
N = number in population
n = number in sample

Therefore:

a. Use the formula sd/√n (population is infinite)

b. Is the sample size of 50 more than 5% of the population? No, it isn't; your answer will be the same as part a).

c. Is the sample size of 50 more than 5% of the population? No, it isn't; your answer will be the same as part a) and b).

d. Is the sample size of 50 more than 5% of the population? Yes, it is, so use the finite population correction factor.

I hope this will help get you started.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### statistics

Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The

2. ### Math I need help ASAP!

1. which of the following is true of a random sample? a. it is the only way to sample a population. b. each member of the sample is a volunteer. c. it is always the easiest way to sample a population. d. each member of the

3. ### Economics (39)

Suppose a random sample of size 40 is selected from a population with = 9. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The

4. ### Statistics

You are interested in estimating the mean of a population. you plan to take a random sample from the population and use the samples mean as an estimate of population mean. Assuming that the population from which you select your

1. ### statistics

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is 15. a) Compute the 95 % confidence interval for the population mean. b) Assume that the same sample mean was obtained from a

2. ### Government

1) The portion of the population selected to participate in a poll is known as the a. public b. population c. deliberative group d. sample e. focus group 2) A sample that does not overrepresent any portion of the population and

3. ### statistics

samples of size n=900 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the proportion of numbers greater than 5 is found for each sample. what is the shape distribution

4. ### Algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2272 bacteria in five hours.