Question: The sample size formula for a confidence interval for the population mean requires an estimate of the population standard deviation. Intuitively, why is this the

The sample size formula for a confidence interval for the population mean requires an estimate of the population standard deviation. Intuitively, why is this the case? Specifically, why is the required sample size larger if the population standard deviation is larger?

Step by Step Solution

★★★★★

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

It is pretty intuitive that the more variability there is in a popul... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1209-M-S-D-A(8826).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Refer to the formula for a confidence interval in the Focus on Formulas section. a. Write the formula for a 90% confidence interval for a proportion. b. Refer to Example 20.6. Construct a 90%...

A telephone poll reported in Time magazine (6 February 1995, p. 24) asked 359 adult Americans the question: Do you think Congress should maintain or repeal last years ban on several types of assault...

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...

The sample size formula for a confidence interval for the population mean requires an estimate of the population standard deviation. Intuitively, why is this the case? Specifically, why is the...

8.125 When calculating a confidence interval for the population mean with a known population standard deviation describe the effects of the following two changes on the confidence interval: (1)...

When calculating a confidence interval for the population mean with a known population standard deviation , describe the effects of the following two changes on the confidence interval: (1) Doubling...

Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known? There is no change if just the sample...

Which of the following does NOT correctly describe how the width of a confidence interval for a population mean changes when the population standard deviation is known? The interval changes if the...

how to calculate the upper and lower limit of the confidence interval using excel? SCENARIO 1 Find a 93% confidence interval for the population mean Assume that the population standard deviation is:...

A sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation. If a bigger sample had been used instead, then the 95%...

Explain the terms gradient, divergence and curl with their physical meanings.

(1 pt) Consider the following integral. Sketch its region of integration in the xy-plane. Ka (a) Which graph shows the region of integration in the xy-plane? (b) Write the integral with the order of...

Which of the following techniques can be used to establish a cookie - jar reserve? ( Check all that apply. ) Multiple select question. Deferring revenue Revaluing property, plant, and equipment...

9. How did James Lee Witt improve FEMA?

Managers at Beta Technologies, Inc., have collected current annual salary figures and potentially related data for a random sample of 52 of the companys full-time employees. The data are in the...

Stock market analysts are continually looking for reliable predictors of stock prices. Consider the problem of modeling the price per share of electric utility stocks (Y). Two variables thought to...

Suppose that you are interested in predicting the price of a laptop computer based on its various features. The file P13_35.XLS contains observations on the sales price and a number of potentially...

i.i.d normal random Let X1, ..., Xn be i.i.d. normal random variables with mean / and variance o (both unknown). Suppose that we want to test Ho : M = No v.S. H1 : M / Mo

An institutional investor is comparing management fees for two competing real estate investment funds. Both funds expect to begin operations and are accepting capital commitments. When the funds...

The graph of a normal curve is given. Use the graph to identify the value of u and o. X 6 -4 -2 10 The value of u is The value of o is