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

Name: A graduate student is performing a study on a new antipsychotic. The d
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
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

See similar textbooks

Related questions

Topic Video

Question

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 .

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc