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Chapter 8: Q 8.10 (page 320)

A simple random sample is taken from a population and yields the following data for a variable of the population:

find a point estimate for the population standard deviation (i.e., the standard deviation of the variable).

Short Answer

Expert verified

The point estimate for the population standard deviation is6.56

Step by step solution

01

Step 1:Given Information 

02

Step 2:formulae used

The formula for sample standard deviation is given below:

s=鈭�xi-x炉2n-1
03

Step 3:Calculation 

Obtaining the sample standard deviation s

Calculating

width="79">鈭�xi-x2

Now,substituting 430 for 鈭�xi-x2and 11 for nin the samples of ariance formulae

s=43011-1=43010=43=6.56

The point estimate for the population standard deviation is6.56

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Most popular questions from this chapter

Toxic Mushrooms? Refer to Exercise 8.71

a. Determine and interpret a 99% lower confidence bound for the mean cadmium level of all Boletus Pinicola mushrooms.

b. Compare your one-sided confidence interval in part (a) to the (two-sided) confidence interval found in Exercise 8.71

Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.

Suppose that you have obtained data by taking a random sample from a population. Before performing a statistical inference, what should you do?

Suppose that you take 1000simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?

Class Project: Gestation Periods of Humans. This exercise can be done individually or, better yet, as a class project. Gestation periods of humans are normally distributed with a mean of 266 days and a standard deviation of 16 days.

a. Simulate 100 samples of nine human gestation periods each.

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d. For the 100 confidence intervals that you obtained in part (b), determine the number that contain the population mean gestation period of 266 days.

e. Compare your answers from parts (c) and (d), and comment on any observed difference.
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