A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate nondirectional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is ue = 25, with a standard deviation of o = 6. If he designates the mean for the population of anxious people who take the anti-anxiety drug as Panti-anxiety drug, he can identify the null and alternative hypotheses as: Ho: Panti anxiety drug = Po Hi: Panti-anxiety drug + Ho The sample of 36 anxious people who tried out the new anti-anxiety drug scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the anxiety inventory for the population of people who are anxious, he intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, he wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test? O The scores on the anxiety inventory follow a normal distribution or the sample sıze is large (at least 30). O Each observation is independent of every other observation. O Each member of the sample must be related in some way to at least one other member of the sample (as in a sibling, friend, or coworker). O The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't. O Members of the sample are selected randomly. Use the Distributions tool to find the critical region for a - 0.05. Standard Normal Distribution Mean 00 Sandard Deviation 1.0 3000 2300 a500 0.674 0.674
A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate nondirectional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is ue = 25, with a standard deviation of o = 6. If he designates the mean for the population of anxious people who take the anti-anxiety drug as Panti-anxiety drug, he can identify the null and alternative hypotheses as: Ho: Panti anxiety drug = Po Hi: Panti-anxiety drug + Ho The sample of 36 anxious people who tried out the new anti-anxiety drug scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the anxiety inventory for the population of people who are anxious, he intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, he wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test? O The scores on the anxiety inventory follow a normal distribution or the sample sıze is large (at least 30). O Each observation is independent of every other observation. O Each member of the sample must be related in some way to at least one other member of the sample (as in a sibling, friend, or coworker). O The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't. O Members of the sample are selected randomly. Use the Distributions tool to find the critical region for a - 0.05. Standard Normal Distribution Mean 00 Sandard Deviation 1.0 3000 2300 a500 0.674 0.674
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Transcribed Image Text:lust be related in some way to at least one other member of the sample (as in a sibling, friend, or
coworker).
O The standard deviation of the scores on the anxiety inventory is the samne for those who take the anti-anxiety drug and those who don't.
Members of the sample are selected randomly.
Use the Distributions tool to find the critical region for a = 0.05.
Standard Normal Distribution
Mean = 0.0
Standard Deviation = 1.0
-5000
2500
2500
-4
-3
-2
-1
-0.674
0.674
The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) are
Calculate the z statistic, and use the Distributions tool to evaluate the null hypothesis. The z statistic is
V. The z statistic
lie
in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is
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A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it
may do nothing or even increase anxiety, so he decides to formulate nondirectional hypotheses and conduct a two-tailed test. He knows that the
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average score for all anxious people is uo = 25, with a standard deviation of o = 6. If he designates the mean for the population of anxious people
who take the anti-anxiety drug as Panti-anxiety drug, he can identify the null and alternative hypotheses as:
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Ho: Panti-anxiety drug = Po
H1: Panti-anxiety drug + Ho
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The sample of 36 anxious people who tried out the new anti-anxiety drug scored an average of 23.3.
Since the graduate student knows the standard deviation of the scores on the anxiety inventory for the population of people who are anxious, he
Wasting
intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, he wants to make sure
all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test?
Wasters
O The scores on the anxiety inventory follow a normal distribution or the sample size is large (at least 30).
O Each observation is independent of every other observation.
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O Each member of the sample must be related in some way to at least one other member of the sample (as in a sibling, friend, or
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coworker).
O The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't.
O Members of the sample are selected randomly.
Use the Distributions tool to find the critical region for a = 0.05
yer
Standard Normal Distribution
Mean 00
Standard Deviation 1.0
5000
.2500
2500
-4
-3
-2
-1
3
4
-0.674
0.674
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