A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that the average score for all depressed people is pe = 15, with a standard deviation of c = 4. If she designates the mean for the population of depressed people who take the antidepressant as Pantidepressant she can identify the null and alternative hypotheses as: Het Pantidepreant " pe Ha: Pantidepremant pe The sample of 64 depressed people who tried out the new antidepressant scored an average of 14.1. Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed. she 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, she 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 Each observation is independent of every other observation. O Members of the sample are selected randomly. O The sample size must be very large. O The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30). O The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't. Use the Distributions tool to find the critical region for a- 0.05. Standard Normal Distribution

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

1 blank- 1.645, 1.960, 2.326, 2.576   (pick 1)

2 blank-   1.70,  -2.45,  -1.80 , -2.40 

3rd blank- does or does not

4th blank- rejected or not rejected

O Members of the sample are selected randomly.
O The sample size must be very large.
O The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30).
O The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't.
Use the Distributions tool to find the critical region for a = 0.05.
Standard Normal Distribution
fean-0.0
Standard Dewlation - 1.0
2500
.2500
-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
. The z statistic
v lie
in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is
Transcribed Image Text:O Members of the sample are selected randomly. O The sample size must be very large. O The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30). O The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't. Use the Distributions tool to find the critical region for a = 0.05. Standard Normal Distribution fean-0.0 Standard Dewlation - 1.0 2500 .2500 -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 . The z statistic v lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is
A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that
it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that
the average score for all depressed people is po = 15, with a standard deviation of o = 4. If she designates the mean for the population of depressed
people who take the antidepressant as Pantidepressant she can identify the null and alternative hypotheses as:
Ho: Pantidepresant = Ho
Ha: Pantidepressant * po
The sample of 64 depressed people who tried out the new antidepressant scored an average of 14.1.
Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed,
she 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, she 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 Each observation
independent of every other observation.
O Members of the sample are selected randomly.
The sample size must be very large.
O The scores on the depression inventory follow a normal distribution or the sample size
large (at least 30).
O The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't.
Use the Distributions tool to find the critical region for a = 0.05.
Standard Normal Distribution
Transcribed Image Text:A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that the average score for all depressed people is po = 15, with a standard deviation of o = 4. If she designates the mean for the population of depressed people who take the antidepressant as Pantidepressant she can identify the null and alternative hypotheses as: Ho: Pantidepresant = Ho Ha: Pantidepressant * po The sample of 64 depressed people who tried out the new antidepressant scored an average of 14.1. Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed, she 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, she 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 Each observation independent of every other observation. O Members of the sample are selected randomly. The sample size must be very large. O The scores on the depression inventory follow a normal distribution or the sample size large (at least 30). O The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't. Use the Distributions tool to find the critical region for a = 0.05. Standard Normal Distribution
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill