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Chapter 8: Q 66. (page 542)

Check them all Determine if the conditions are met for constructing a confidence interval for the population mean in each of the following settings.

a. We want to estimate the average age at which U.S. presidents have died. So we obtain a list of all U.S. presidents who have died and their ages at death.

b. Do teens text more than they call? To find out, an AP Statistics class at a large high school collected data on the number of text messages and calls sent or received by each of 25randomly selected students. The boxplot displays the difference (Texts 鈭� Calls) for each student.

Short Answer

Expert verified

a. The conditions not met are: Random Sample and Independent.

b. Condition not met is of Large Sample.

Step by step solution

01

Part (a) Step 1: Given Information

It is given that population is taken of all US president.

02

Part (a) Step 2: Explanation

Conditions are:

  • Random: In sample, all US president are included. It cannot be random sample.
  • Independence: Sample of US presidents can never be less than 10%of total population of US president.
  • Large Sample Size: It will be >30as they are for sure more than 30

The conditions not met are: Random Sample and Independent.

03

Part (b) Step 1: Given Information

It is given that n=25

Population is of all the students.

04

Part (b) Step 2: Explanation

Conditions are:

  • Random: This is satisfied as students are selected randomly.
  • Independent: 25<10%of population of all students.
  • Large Sample Size: 25<30. This is not met.

Condition of Large Sample is not met.

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