Question

In: Statistics and Probability

Suppose a random sample of size 60 is selected from a population with sigma=12. Find the...

Suppose a random sample of size 60 is selected from a population with sigma=12. 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).

Solutions

Expert Solution

Solution:

Given:

n = 60

We have to find the value of the standard error of the mean .

Part a) The population size is infinite

if population size is infinite , then no need to use the finite population correction factor.

Part b) The population size is N=50,000

Since population size is finite ,we use the finite population correction factor .

Part c) The population size is N=5000

Part d) The population size is N=500

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose a random sample of size 60 is selected from a population with = 8. Find...

Suppose a random sample of size 60 is selected from a population with = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). The population size is infinite (to 2 decimals). The population size is N = 50,000 (to 2 decimals). The population size is N = 5,000 (to 2 decimals). The population size is N = 500 (to 2 decimals).

Suppose a random sample of size 51 is selected from a population with = 12. Find...

Suppose a random sample of size 51 is selected from a population with = 12. 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 = 5,000 (to 2 decimals). d.The population size is N = 500 (to 2 decimals).

Suppose a random sample of size 56 is selected from a population with = 8. Find the...

Suppose a random sample of size 56 is selected from a population with = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). The population size is infinite (to 2 decimals). The population size is N = 50,000 (to 2 decimals). The population size is N = 5,000 (to 2 decimals). The population size is N = 500 (to 2 decimals).

Suppose that a random sample of size 64 is to be selected from a population with...

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are the mean and standard deviation of the x sampling distribution? μx = 1 40 Correct: Your answer is correct. σx = 2 .625 Correct: Your answer is correct. (b) What is the approximate probability that x will be within 0.2 of the population mean μ? (Round your answer to four decimal places.) P = 3...

Suppose that a random sample of size 64 is to be selected from a population with...

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. a) What is the approximate probability that x will differ from μ by more than 0.8? (Round your answer to four decimal places.)

1. Suppose that a random sample of size 64 is to be selected from a population...

1. Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. a. What is the mean of the ¯xx¯ sampling distribution? b. What is the standard deviation of the ¯xx¯ sampling distribution? c. What is the approximate probability that ¯xx¯ will be within 0.5 of the population mean μμ? d. What is the approximate probability that ¯xx¯ will differ from μμ by more than 0.7? 2. A Food...

Suppose a random sample of size 53 is selected from a population with σ = 9....

Suppose a random sample of size 53 is selected from a population with σ = 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 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...

Suppose a random sample of size 50 is selected from a population with σ = 8....

Suppose a random sample of size 50 is selected from a population with σ = 8. Find the value of the standard error of the mean in each of the following cases. (Use the finite population correction factor if appropriate. Round your answers to two decimal places.) (a) The population size is infinite. (b) The population size is N = 50,000. (c) The population size is N = 5,000. (d) The population size is N = 500.

A random sample of nequals100 observations is selected from a population with muequals31 and sigma equals...

A random sample of nequals100 observations is selected from a population with muequals31 and sigma equals 24. Complete parts a through f. Find P(x overbarxgreater than or equals≥28).

Suppose that a simple random sample of size ?=325 selected from a population has ?=147. Calculate...

Suppose that a simple random sample of size ?=325 selected from a population has ?=147. Calculate the margin of error for a 95% confidence interval for the proportion of successes for the population, ?p. Compute the sample proportion, ?̂ ,, standard error estimate, SE, critical value, ?, and the margin of error, ?.. Use a ?-distribution table to determine the critical value. Give all of your answers to three decimal places except give the critical value, ?, to two decimal...

Subjects