A graduate student is performing a study on a new antipsychotic. The drug is supposed to reduce symptoms of psychosis, but the graduate student realizes that it may do nothing or even increase symptoms of psychosis, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that the average score for all psychotic people is μ₀ = 25, with a standard deviation of σ = 6. If she designates the mean for the population of psychotic people who take the antipsychotic as μantipsychoticantipsychotic, she can identify the null and alternative hypotheses as: The sample of 36 psychotic people who tried out the new antipsychotic scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the psychotic symptoms inventory for the population of people who are psychotic, 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? The sampling distribution of M follows a normal distribution. The mean of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t. Each observation is independent of every other observation. The standard deviation of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t. Members of the sample are selected randomly. Use the Distributions tool to find the critical region for α = 0.05. 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 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 antipsychotic. The drug is supposed to reduce symptoms of psychosis, but the graduate student realizes that it may do nothing or even increase symptoms of psychosis, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that the average score for all psychotic people is μ₀ = 25, with a standard deviation of σ = 6. If she designates the mean for the population of psychotic people who take the antipsychotic as μantipsychoticantipsychotic, she can identify the null and alternative hypotheses as: The sample of 36 psychotic people who tried out the new antipsychotic scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the psychotic symptoms inventory for the population of people who are psychotic, 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? The sampling distribution of M follows a normal distribution. The mean of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t. Each observation is independent of every other observation. The standard deviation of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t. Members of the sample are selected randomly. Use the Distributions tool to find the critical region for α = 0.05. 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 lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is

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Description: A graduate student is performing a study on a new antipsychotic. The drug is supposed to reduce symptoms of psychosis, but the graduate student realizes that it may do nothing or even increase symptoms of psychosis, so she decides to formulate nondir

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The sample of 36 psychotic people who tried out the new antipsychotic scored an average of 23.3.

Since the graduate student knows the standard deviation of the scores on the psychotic symptoms inventory for the population of people who are psychotic, 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?

The sampling distribution of M follows a normal distribution.

The mean of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t.

Each observation is independent of every other observation.

The standard deviation of the scores on the psychotic symptoms inventory is the same for those who take the antipsychotic and those who don’t.

Members of the sample are selected randomly.

Use the Distributions tool to find the critical region for α = 0.05.

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 lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is .

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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