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Chapter 7: Q. 10 (page 454)

Sample medians List all 10possible SRSs of size n=3, calculate the median quiz score for each sample, and display the sampling distribution of the sample median on a dotplot.

Short Answer

Expert verified

The median quiz score for each sample :

Sample size 3
Median
Abigail - Bobby - Carlos
(10,5,10)=10
Abigail - Bobby - DeAnna
(10,5,7)=7
Abigail - Bobby - Emily
(10,5,9)=9
Abigail - Carlos - DeAnna
(10,10,7)=10
Abigail - Carlos - Emily
(10,10,9)=10
Abigail - DeAnna - Emily
(10,7,9)=9
Bobby - Carlos - DeAnna
(5,10,7)=7
Bobby - Carlos - Emily
(5,10,9)=9
Carlos - DeAnna - Emily
(10,7,9)=9

The dot plot :

Step by step solution

01

Given information

We need to find the median quiz score for each sample, and display the sampling distribution of the sample median on a dotplot for given table

Name
Gender
Quiz score
Abigail
Female
10
Bobby
Male
5
Carlos
Male
10
DeAnna
Female
7
Emily
Female
9
02

Simplify

Median can be calculated by arranging the data in ascending or descending order.

The median quiz score for each sample :

Sample size
Median
Abigail - Bobby - Carlos
(10,5,10)=10
Abigail - Bobby - DeAnna
(10,5,7)=7
Abigail - Bobby - Emily
(10,5,9)=9
Abigail - Carlos - DeAnna
(10,10,7)=10
Abigail - Carlos - Emily
(10,10,9)=9
Abigail - DeAnna - Emily
(10,7,9)=9
Bobby - Carlos - DeAnna
(5,10,7)=7
Bobby - Carlos - Emily
(5,10,9)=9
Bobby - DeAnna - Emily
(5,7,9)=7
Carlos - DeAnna - Emily
(10,7,9)=9

A dot plot is a graph that shows the distribution of numerical variables by using dots to represent values.
If a value appears more than once in a whole number, the dots are stacked one on top of the other, with the height of the column of dots representing the frequency of that value.

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Most popular questions from this chapter

Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3%of such operations, the repair fails in 14%, and both infection and failure occur together 1%of the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?

a. 0.8342

b. 0.8400

c. 0.8600

d. 0.8660

e. 0.9900


On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 people who vote, 4277 are against the proposed increases. To which of the following populations should the results of this poll be generalized?

a. All people who have ever listened to this show

b. All people who listened to this episode of the show

c. All people who visited the show host's website

d. All people who voted in the poll

e. All people who voted against the proposed increases

Lightning strikes The number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. The National Lightning Detection Network (NLDN) uses automatic sensors to watch for lightning in 1-square-kilometer plots of land. Find the probability that the total number of lightning strikes in a random sample of 50 square-kilometer plots of land is less than 250.

refer to the following graph. Here is a dotplot of the adult literacy rates in 177 countries in a recent year, according to the United Nations. For example, the lowest literacy rate was 23.6 %, in the African country of Burkina Faso. Mali had the next lowest literacy rate at 24.0 %.

The overall shape of this distribution is

a. clearly skewed to the right.

b. clearly skewed to the left.

c. roughly symmetric.

d. uniform.

e. There is no clear shape.

16.05A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bottles follows a Normal distribution with mean 16.05 ounces and standard deviation 0.1ounce. Assume that the machine is working properly. If 4 bottles are randomly selected and the number of ounces in each bottle is measured, then there is about a 95%probability that the sample mean will fall in which of the following intervals?

a. 16.05to 16.15ounces

b. 16.00to 16.10ounces

c. 15.95to role="math" localid="1654391534650" 16.15ounces

d. 15.90to 16.20ounces

e. 15.85to 16.25ounces
See all solutions

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