Deck 13: Violence and Unintentional Injuries

Question 1

Medicare would like to test the hypothesis that the standard deviation for the monthly rate for a one- bedroom assisted- living facility is more than $400. The correct hypothesis statement would be ______.

A)H₀: a² c 160,000; H₁: a² > 160,000
B)H₀: µ = 160,000; H₁: µ × 160,000
C)H₀: a² c 400; H₁: a² > 400
D)H₀: a c 400; H₁: a > 400

Answer 1

H₀: a² c 160,000; H₁: a² > 160,000

Question 2

Travelocity would like to test if the standard deviation for roundtrip airfares between New York and London is less than $200. The correct hypothesis statement would be _____.

A)H₀: a² = 200; H₁: a² × 200
B)H₀: µ c 200; H₁: µ < 200
C)H₀: a² c 40,000; H₁: a² < 40,000
D)H₀: a c 40,000; H₁: a < 40,000

Answer 2

H₀: a² c 40,000; H₁: a² < 40,000

Question 3

YouTube would like to test the hypothesis that the standard deviation for the length of an online video watched by a user is more than 2 minutes. The correct hypothesis statement would be .

A)H₀: a² c 4.0; H₁: a² > 4.0
B)H₀: µ c 4.0; H₁: µ < 4.0
C)H₀: a² = 2.0; H₁: a² × 2.0
D)H₀: a²= 4.0; H₁: a² × 4.0

Answer 3

H₀: a² c 4.0; H₁: a² > 4.0

Question 4

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. A random sample of 28 rounds of golf had a sample standard deviation of 3.5. Using α = 0.10, the lower critical value for this hypothesis test would be ______.

A)12.401
B)16.151
C)13.848
D)17.334

Question 5

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. A random sample of 15 students was selected and the sample standard deviation for the time needed to complete the exam was found to be 4.0 minutes. The test statistic for this hypothesis test would be _______.

A)8.96
B)17.67
C)13.61
D)10.42

Question 6

YouTube would like to test the hypothesis that the standard deviation for the length of an online video watched by a user is more than 2 minutes. A random sample of 21 people who watched online videos was selected. The sample standard deviation for the length of the video was found to be 2.5 minutes. The degrees of freedom for this hypothesis test would be _______.

A)21
B)20
C)18
D)19

Question 7

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. The correct hypothesis statement would be _.

A)H₀: a2 c 25; H₁: a2 < 25
B)H₀: a = 5; H₁: a × 5
C)H₀: a² = 5; H₁: a² × 5
D)H₀: µ c 5; H₁: µ < 5

Question 8

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. The correct hypothesis statement would be .

A)H₀: a = 10.0; H₁: a × 10.0
B)H₀: a² c 10.0; H₁: a² > 10.0
C)H₀: a² = 10.0; H₁: a² × 10.0
D)H₀: µ = 10.0; H₁: µ × 10.0

Question 9

Entertainment Software Association would like to test if the standard deviation for the age of "gamers" (those that routinely play video games)is equal to 6.0 years. The correct hypothesis statement would be .

A)H₀: µ = 6.0; H₁: µ × 6.0
B)H₀: a² c 6.0; H₁: a² > 6.0
C)H₀: a² = 36.0; H₁: a² × 36.0
D)H₀: a = 6.0; H₁: a × 6.0

Question 10

Medicare would like to test the hypothesis that the standard deviation for the monthly rate for a one- bedroom assisted- living facility is more than $400. A random sample of 17 assisted living facilities had a standard deviation of $530. The degrees of freedom for this hypothesis test would be _____.

A)17
B)18
C)16
D)19

Question 11

Medicare would like to test the hypothesis that the standard deviation for the monthly rate for one- bedroom assisted- living facility is more than $400. A random sample of 17 assisted living facilities had a standard deviation of $530. Using α = 0.01, the critical value for this hypothesis test would be ______.

A)34.267
B)6.908
C)32.000
D)5.812

Question 12

A retail chain would like to test if a difference exists between the variability of customer satisfaction scores from two locations. The following data represents satisfaction scores from a random sample of customers from these locations on a scale of 1- 20.
$$\begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Location 1 } & 12 & 14 & 20 & 18 & 15 & 17 & 16 \\\hline \text { Location 2 } & 18 & 19 & 17 & 18 & 16 & 20 & \\\hline\end{array}$$
Using ?=0.10, the critical value for this hypothesis test would be _____

A)6.094
B)5.343
C)4.950
D)3.405

Question 13

Travelocity would like to test if the standard deviation for roundtrip airfares between New York and London is less than $200. A random sample of 22 roundtrip airfares between New York and London had a standard deviation of $142. The degrees of freedom for this hypothesis test would be _______.

A)20
B)19
C)21
D)18

Question 14

YouTube would like to test the hypothesis that the standard deviation for the length of an online video watched by a user is more than 2 minutes. A random sample of 21 people who watched online videos was selected. The sample standard deviation for the length of the video was found to be 2.5 minutes. The test statistic for this hypothesis test would be _____.

A)22.60
B)31.25
C)10.19
D)4.66

Question 15

Entertainment Software Association would like to test if the standard deviation for the age of "gamers" (those that routinely play video games)is equal to 6.0 years. The standard deviation for the age from a random sample of 24 gamers is 3.8 years. The test statistic for this hypothesis test would be ______.

A)45.61
B)9.23
C)24.33
D)31.82

Question 16

Entertainment Software Association would like to test if the standard deviation for the age of "gamers" (those that routinely play video games)is equal to 6.0 years. The standard deviation for the age from a random sample of 24 gamers is 3.8 years. Using α = 0.05, the lower critical value for this hypothesis test would be ______.

A)11.689
B)10.235
C)13.477
D)12.750

Question 17

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. A random sample of 28 rounds of golf had a sample standard deviation of 3.5. The degrees of freedom for this hypothesis test would be _______.

A)27
B)24
C)25
D)26

Question 18

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. A random sample of 15 students was selected and the sample standard deviation for the time needed to complete the exam was found to be 4.0 minutes. Using α = 0.05, the conclusion for this hypothesis test would be that because the test statistic is

A)more than the critical value, we fail to reject the null hypothesis and conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
B)less than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
C)less than the critical value, we reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
D)more than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.

Question 19

Travelocity would like to test if the standard deviation for roundtrip airfares between New York and London is less than $200. A random sample of 22 roundtrip airfares between New York and London had a standard deviation of $142. The test statistic for this hypothesis test would be ______.

A)8.67
B)7.03
C)13.36
D)10.59

Question 20

Medicare would like to test the hypothesis that the standard deviation for the monthly rate for a one- bedroom assisted- living facility is more than $400. A random sample of 17 assisted living facilities had a standard deviation of $530. The test statistic for this hypothesis test would be ________.

A)28.09
B)15.06
C)19.72
D)24.56

Question 21

The test statistic that is used to test the variance of a single population follows the normal probability distribution.

Question 22

Entertainment Software Association would like to test if the standard deviation for the age of "gamers" (those that routinely play video games)is equal to 6.0 years. The standard deviation for the age from a random sample of 24 gamers is 3.8 years. The degrees of freedom for this hypothesis test would be ________.

A)24
B)21
C)23
D)25

Question 23

Travelocity would like to test if the standard deviation for roundtrip airfares between New York and London is less than $200. A random sample of 22 roundtrip airfares between New York and London had a standard deviation of $142. Using α = 0.05, the conclusion for this hypothesis test would be that because the test statistic is ______.

A)more than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the roundtrip airfares between New York and London is less than $200
B)less than the critical value, we can reject the null hypothesis and conclude that the standard deviation for the roundtrip airfares between New York and London is less than $200
C)less than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the roundtrip airfares between New York and London is less than $200
D)more than the critical value, we can reject the null hypothesis and conclude that the standard deviation for the roundtrip airfares between New York and London is less than $200

Question 24

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. A random sample of 28 rounds of golf had a sample standard deviation of 3.5. The test statistic for this hypothesis test would be ______

A)12.57
B)46.23
C)33.08
D)40.75

Question 25

The degrees of freedom for the critical value for a hypothesis test for a single population variance is
n - 2.

Question 26

The test statistic that is used to compare the variances of two populations follows the chi- square distribution.

Question 27

In order to get valid results, the hypothesis test for a variance for a single population requires that the population from which the sample is drawn to be normally distributed.

Question 28

When performing a hypothesis test that compares the variances of two populations, always assign the smaller sample variance to Population 1 and the larger sample variance to Population 2.

Question 29

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. A random sample of 15 students was selected and the sample standard deviation for the time needed to complete the exam was found to be 4.0 minutes. The degrees of freedom for this hypothesis test would be ______.

A)16
B)15
C)14
D)13

Question 30

There is no statistical technique for directly testing a hypothesis about a population standard deviation.

Question 31

In order to get valid results, the hypothesis test for comparing two population variances requires that the populations from which the samples are drawn be normally distributed.

Question 32

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. A random sample of 28 rounds of golf had a sample standard deviation of 3.5. Using α = 0.10, the conclusion for this hypothesis test would be that because the test statistic is _______.

A)more than the upper critical value, we can reject the null hypothesis and conclude that the variance for this golfer's scores is not equal to 10.0
B)less than the lower critical value, we fail to reject the null hypothesis and conclude that the variance for this golfer's scores is not equal to 10.0
C)between the lower and upper critical values, we reject the null hypothesis and cannot conclude that the variance for this golfer's scores is not equal to 10.0
D)between the lower and upper critical values, we fail to reject the null hypothesis and cannot conclude that the variance for this golfer's scores is not equal to 10.0

Question 33

The rejection region for a two- population variance test will always be in the lower tail of the sampling distribution.