Testing a Claim about a Difference between Means Answers

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Let μAR = the true mean score for all games played at the arcade and μAM = the true mean score for all games played at the amusement park. What are the appropriate hypotheses?

A
H0: μAR − μAM < 0 versus Ha: μAR − μAM < 0
B
H0: μAR − μAM = 0 versus Ha: μAR − μAM ≠ 0
C
H0: μAR − μAM > 0 versus Ha: μAR − μAM = 0
D
H0: μAR − μAM = 0 versus Ha: μAR − μAM > 0
2
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reject✔ fail to reject

A
reject
B
✔ fail to reject
3

have✔ do not have

A
have
B
✔ do not have
4

reject✔ fail to reject

A
reject
B
✔ fail to reject
167492

Here is a t-distribution table.

Answers:
What is the value of the test statistic?:4.77
What is the value of the conservative degrees of freedom?:9
What is the P-value of this test?:Less than 0.0005
We should H0.:reject
This means that we convincing evidence to conclude that her true mean score at the local arcade is greater than her true mean score at the amusement park.:have
167493

✔ 9101415

A
✔ 9
B
10
C
14
D
15
167494

✔ Less than 0.0005Between 0.01 and 0.02Between 0.02 and 0.025Between 0.025 and 0.05

A
✔ Less than 0.0005
B
Between 0.01 and 0.02
C
Between 0.02 and 0.025
D
Between 0.025 and 0.05
167495

✔ rejectfail to reject

A
✔ reject
B
fail to reject
167496

✔ havedo not have

A
✔ have
B
do not have
167498

✔ 39407980

A
✔ 39
B
40
C
79
D
80
167499

Less than 0.0005✔ Between 0.05 and 0.10Between 0.2 and 0.25Greater than 0.25

A
Less than 0.0005
B
✔ Between 0.05 and 0.10
C
Between 0.2 and 0.25
D
Greater than 0.25
167501

have✔ do not have

A
have
B
✔ do not have
167504

Check the conditions for this two-sample t-test.

A
These games are independent random samples of her true score at the arcade and amusement park.
B
We have data from 2 groups in a randomized experiment.
C
15 < 10% of all games she could play at the arcade and 10 < 10% of all games she could play at the amusement park.
D
The 10% condition does not apply.
E
The distribution of scores at the arcade has no outliers and no strong skewness.
F
The distribution of scores at the amusement park has no outliers and no strong skewness.
G
The Normal/Large Sample condition is not met.
167505

We want to test H0: μN − μS = 0 versus Ha: μN − μS < 0 where μN = the true mean listing price of all homes in the north hills and μS = the true mean listing price of all homes in the south hills.

Answers:
Because the P-value (which is between 0.20 and 0.25) is = 0.01 we H0. We convincing evidence that the true mean listing price of homes in the north hills is less than of homes in the south hills.:greater than
Because the P-value (which is between 0.20 and 0.25) is = 0.01 we H0. We convincing evidence that the true mean listing price of homes in the north hills is less than of homes in the south hills.:fail to reject
Because the P-value (which is between 0.20 and 0.25) is = 0.01 we H0. We convincing evidence that the true mean listing price of homes in the north hills is less than of homes in the south hills.:do not have
167507

Check the conditions for this two-sample t-test.

A
We have independent random samples of 40 air-filled and 40 water-filled balloons.
B
We have data from 2 groups in a randomized experiment.
C
40 < 10% of all air-filled balloons and 10 < 10% of all water-filled balloons.
D
The 10% condition does not apply.
E
The Normal/Large Sample condition is not met.
F
The Normal/Large Sample condition is met because both group sizes are large (at least 30).
167508

Here is a t-distribution table.

Answers:
What is the value of the test statistic?:1.33
What is the value of the conservative degrees of freedom?:39
What is the P-value of this test?:Between 0.05 and 0.10
We should H0.:fail to reject
This means that we convincing evidence that the true mean volume prior to bursting is different for air-filled versus water-filled balloons.:do not have

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