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Chapter 7: Q. 7 (page 454)

Refer to the small population of 5students in the table.

Sample means List all 10 possible SRSs of size n=2, calculate the

mean quiz score for each sample, and display the sampling distribution of the sample

mean on a dotplot.

Short Answer

Expert verified

Answer to the given question:

Sample of size2Sample mean
Abigail-Bobby7.5
Abigail-Carlos10
Abigail-DeAnna8.5
Abigail-Emily9.5
Bobby-Carlos7.5
Bobby-DeAnna6
Bobby-Emily7
Carlos-DeAnna8.5
Carlos-Emily9.5
DeAnna-Emily8

Dotplot:

Step by step solution

01

Given information

Sample of size 2GenderQuiz score
AbigailMale10
BobbyFemale5
CarlosFemale10
DeAnnaMale7
EmilyMale9
02

Explanation

All the possible samples of size 2then contain any two (different) people of the population of 5students.

Sample of size2
Abigail-Bobby
Abigail-Carlos
Abigail-DeAnna
Abigail-Emily
Bobby-Carlos
Bobby-DeAnna
Bobby-Emily
Carlos-DeAnna
Carlos-Emily
DeAnna-Emily

The sample mean of a sample is then the sum of the two corresponding quiz scores divided by the number of data values.

Sample of size2Sample mean
Abigail-Bobbyx炉=10+52=152=7.5
Abigail-Carlosx炉=10+102=202=10
Abigail-DeAnnax炉=10+72=172=8.5
Abigail-Emilyx炉=10+92=192=9.5
Bobby-Carlosx炉=5+102=152=7.5
Bobby-DeAnnax炉=5+72=122=6
Bobby-Emilyx炉=5+92=142=7
Carlos-DeAnnax炉=10+72=172=8.5
Carlos-Emilyx炉=10+92=192=9.5
DeAnna-Emilyx炉=7+92=162=8

Dotplot:

Create a number line

For every given data value place a dot above the corresponding number on the number line.

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Most popular questions from this chapter

The distribution of scores on the mathematics part of the SAT exam in a recent year was approximately Normal with mean 515 and standard deviation 114 . Imagine choosing many SRSs of 100 students who took the exam and averaging their SAT Math scores. Which of the following are the mean and standard deviation of the sampling distribution of x-?x炉?

a. Mean =515,SD=114

b. Mean =515,SD=114/100SD=114/100

c. Mean role="math" localid="1654342976765" =515/100,SD=114/100

d. Mean role="math" localid="1654343050312" =515/100,SD=114/100SD=114/10

e. Cannot be determined without knowing the 100 scores.

Suppose we roll a fair die four times. What is the probability that a 6 occurs on exactly one of the rolls?

a.4(16)3(56)14163561b.(16)3(56)1163561c.4(16)1(56)3161563d.(16)1(56)3161563e.6(16)1(56)36161563

Fillings How much do prices vary for filling a cavity? To find out, an insurance company randomly selects 10dental practices in California and asks for the cash (non-insurance) price for this procedure at each practice. The interquartile range is $74.

Suppose that you are a student aide in the library and agree to be paid according to the "random pay" system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is 80\(. If it comes up tails, your pay for the week is 40\). You work for the library for 100 weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x-x炉. The shape of the sampling distribution of will be

a. Normal.

b. approximately Normal.

c. right-skewed.

d. left-skewed.

e. symmetric but not Normal.

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