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Chapter 1: Q. 51 (page 53)

Consider the following:

X = number of days a Lake Tahoe Community College math student is absent

In this case, X is an example of a:

a. variable.

b. population.

c. statistic.

d. data.

Short Answer

Expert verified
ThenumberXrepresentsthenumberofdaysthatLakeTahoeCommunityCollegestudentshavebeenabsent.
It's a variable that changes at random.
As a result, option A is right.

Step by step solution

01

Introduction

The number of days absent is a random number that is kept in X.
As a consequence, X is turned into a variable.
02

Explanation

Xis a variable that represents the number of absences.
So Xcan be any integer and is assigned at random.
We didn't know its value before; all we knew was that it had to be a whole number because it represented the number of absences.

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Most popular questions from this chapter

Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Suggest at least two methods the researchers might use to gather random data.

Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Determine what the key term data refers to in the above example for Researcher A.

A 鈥渞andom survey鈥� was conducted of 3,274people of the 鈥渕icroprocessor generation鈥� (people born since 1971, the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had $2,000to spend, they would use it for computer equipment. Also, 66%of those surveyed considered themselves relatively savvy computer users.

a. Do you consider the sample size large enough for a study of this type? Why or why not?

b. Based on your 鈥済ut feeling,鈥� do you believe the percents accurately reflect the U.S. population for those individuals born since 1971? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why? Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called 鈥淎merica鈥檚 Smithsonian.鈥�

c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?

d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters

Table 1.26 contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.

Use Table 1.26 to answer the following questions.

  1. What is the proportion of deaths between 2007 and 2012?
  2. What percent of deaths occurred before 2001?
  3. What is the percent of deaths that occurred in 2003 or after 2010?
  4. What is the fraction of deaths that happened before 2012?
  5. What kind of data is the number of deaths?
  6. Earthquakes are quantified according to the amount of energy they produce (examples are 2.1, 5.0, 6.7). What type of data is that?
  7. What contributed to the large number of deaths in 2010? In 2004? Explain.

1.11 You are going to use the random number generator to generate different types of samples from the data.

This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class.

Instructions: Use the Random Number Generator to pick samples.

1. Create a stratified sample by column. Pick three quiz scores randomly from each column.

鈼� Number each row one through ten.

鈼� On your calculator, press Math and arrow over to PRB.

鈼� For column 1, Press 5:randInt( and enter 1,10). Press ENTER. Record the number. Press ENTER 2 more

times (even the repeats). Record these numbers. Record the three quiz scores in column one that correspond

to these three numbers.

鈼� Repeat for columns two through six.

鈼� These 18 quiz scores are a stratified sample.

2. Create a cluster sample by picking two of the columns. Use the column numbers: one through six.

鈼� Press MATH and arrow over to PRB.

鈼� Press 5:randInt( and enter 1,6). Press ENTER. Record the number. Press ENTER and record that number.

鈼� The two numbers are for two of the columns.

鈼� The quiz scores (20 of them) in these 2 columns are the cluster sample.

3. Create a simple random sample of 15 quiz scores.

鈼� Use the numbering one through 60.

鈼� Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).

鈼� Press ENTER 15 times and record the numbers.

鈼� Record the quiz scores that correspond to these numbers.

鈼� These 15 quiz scores are the systematic sample.

4. Create a systematic sample of 12 quiz scores.

鈼� Use the numbering one through 60.

鈼� Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).

鈼� Press ENTER. Record the number and the first quiz score. From that number, count ten quiz scores and

record that quiz score. Keep counting ten quiz scores and recording the quiz score until you have a sample

of 12 quiz scores. You may wrap around (go back to the beginning).

See all solutions

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