# Use the following scenario to

Use the following scenario to answer the next 6 questions:

M&Ms are your favorite vending machine snack and you purchase them often.  Lately, it seems like the bags have been having a disproportionate distribution of the colors.  The company claims that 24% of the candies per bag should be blue.  You decide to test this claim for yourself.  You purchase a large bag and find that 38 of the 224 candies are blue.  Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test.  Do you have sufficient evidence that the color distribution is different than advertised?

The appropriate degrees of freedom for this test are:

Degrees of freedom aren’t applicable to this test.
38
1
224

# Use the following scenario to

Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

Choose the statement that matches your decision & conclusion.

Fail to reject the null: there is NOT sufficient evidence that the valve performs below specifications.
Fail to reject the null: there IS sufficient evidence to conclude that the valve performs below specifications.
Reject the null: there is NOT sufficient evidence that the valve performs below specifications.
Reject the null: there IS sufficient evidence that the valve performs below specifications.

# Use the following scenario to

Use the following scenario to answer the next 6 questions:

M&Ms are your favorite vending machine snack and you purchase them often.  Lately, it seems like the bags have been having a disproportionate distribution of the colors.  The company claims that 24% of the candies per bag should be blue.  You decide to test this claim for yourself.  You purchase a large bag and find that 38 of the 224 candies are blue.  Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test.  Do you have sufficient evidence that the color distribution is different than advertised?

Based on the data, the value of the test statistic is:

# Use the following scenario to

Use the following scenario to answer the next 6 questions:

M&Ms are your favorite vending machine snack and you purchase them often.  Lately, it seems like the bags have been having a disproportionate distribution of the colors.  The company claims that 24% of the candies per bag should be blue.  You decide to test this claim for yourself.  You purchase a large bag and find that 38 of the 224 candies are blue.  Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test.  Do you have sufficient evidence that the color distribution is different than advertised?

In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion).

True
False

# Use the following scenario to

Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

The appropriate hypothesis test for this scenario is:

right-tailed
two-tailed
left-tailed

# Use the following scenario to

Use the following scenario to answer the next 6 questions:

M&Ms are your favorite vending machine snack and you purchase them often.  Lately, it seems like the bags have been having a disproportionate distribution of the colors.  The company claims that 24% of the candies per bag should be blue.  You decide to test this claim for yourself.  You purchase a large bag and find that 38 of the 224 candies are blue.  Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test.  Do you have sufficient evidence that the color distribution is different than advertised?

The appropriate hypothesis test for this scenario is:

left-tailed
two-tailed
right-taile

# Use the following scenario to

Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

Based on the data, the value of the test statistic is:

# Use the following scenario to

Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

The appropriate degrees of freedom for this test are:

30
29
Degrees of freedom aren’t applicable to this test.
31

# Use the following scenario to

Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion).

True
False

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