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Chapter 8: Q.14 (page 478)

In words, define the random variable X.

Short Answer

Expert verified

X - the weight in kilograms of the heads of lettuce.

Step by step solution

01

Given Information

The random variableX.

02

Explanation

A random variable is a numerical representation of a statistical experiment's outcome. A discrete random variable can only take one of two values: a finite number or an infinite succession of values; a continuous random variable can take any value in any interval on the real number line.

Here, the random variable Xis the weight in kilograms of the heads of lettuce.

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Most popular questions from this chapter

Suppose 250randomly selected people are surveyed to determine if they own a tablet. Of the 250surveyed, 98reported owning a tablet. Using a95% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets

The data in Table 8.10 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag.

Construct a 95% confidence interval for the true mean number of colors on national flags.

Using the same x炉 , sx , and n = 39, how would the error bound change if the confidence level were reduced to 90%? Why?

How much area is in both tails (combined)?

What is meant by the term 鈥�90%confident鈥� when constructing a confidence interval for a mean?

a. If we took repeated samples, approximately 90%of the samples would produce the same confidence interval.

b. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would

contain the sample mean.

c. If we took repeated samples, approximately 90%of the confidence intervals calculated from those samples would

contain the true value of the population mean.

d. If we took repeated samples, the sample mean would equal the population mean in approximately 90%of the samples.

In complete sentences, explain why the confidence interval in Exercise 8.17 is larger than in Exercise 8.18.
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