In order to use the t distribution, you will first need to determine the degrees of freedom (df) for α = .05. The degrees of freedom (df) is _____. The critical value of t is _______.Your sample of 10-year-old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63.Calculate the t statistic. To do this, you will first have to calculate the estimated standard error. The estimated standard error is _______. The t statistic is _______. (Hint: For the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)The t statistic _________ lie in the critical region. Therefore, you ________ reject the null hypothesis.Based on the results of this test, there _______ enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing sadness than do children without antisocial tendencies. **11. A one-tailed hypothesis test with the t statistic**Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions.Suppose you have a sample of 35 10-year-old children with antisocial tendencies and you are particularly interested in the emotion of sadness. The average 10-year-old has a score on the emotion recognition scale of 13.10. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.You believe that children with antisocial tendencies will have a harder time recognizing the emotion of sadness (in other words, they will have higher scores on the emotion recognition test).What is your null hypothesis stated using symbols? _______________________________________What is your alternative hypothesis stated using symbols? ________________________________This is a _______ tailed test. Given what you know, you will evaluate this hypothesis using a _____ statistic.

Null hypothesis: H0:μ≤13.10 Alternative hypothesis: H1:μ>13.10 This is a one-tailed…

In order to use the t distribution, you will first need to determine the degrees of freedom (df) for a = .05. The degrees of freedom (df) The critical value of t is Your sample of 10-year-old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. Calculate the t statistic. To do this, you will first have to calculate the estimated standard error. The estimated standard error is . The t statistic is · (Hint: For the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.) The t statistic lie in the critical region. Therefore, you reject the null hypothesis. Based on the results of this test, there enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing sadness than do children without antisocial tendencies.

In order to use the t distribution, you will first need to determine the degrees of freedom (df) for a = .05. The degrees of freedom (df) The critical value of t is Your sample of 10-year-old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. Calculate the t statistic. To do this, you will first have to calculate the estimated standard error. The estimated standard error is . The t statistic is · (Hint: For the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.) The t statistic lie in the critical region. Therefore, you reject the null hypothesis. Based on the results of this test, there enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing sadness than do children without antisocial tendencies.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

In order to use the t distribution, you will first need to determine the degrees of freedom (df) for α = .05. The degrees of freedom (df) is _____. The critical value of t is _______.

Your sample of 10-year-old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63.

Calculate the t statistic. To do this, you will first have to calculate the estimated standard error. The estimated standard error is _______. The t statistic is _______. (Hint: For the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)

The t statistic _________ lie in the critical region. Therefore, you ________ reject the null hypothesis.

Based on the results of this test, there _______ enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing sadness than do children without antisocial tendencies.

**11. A one-tailed hypothesis test with the t statistic**

Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions.

Suppose you have a sample of 35 10-year-old children with antisocial tendencies and you are particularly interested in the emotion of sadness. The average 10-year-old has a score on the emotion recognition scale of 13.10. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.

You believe that children with antisocial tendencies will have a harder time recognizing the emotion of sadness (in other words, they will have higher scores on the emotion recognition test).

What is your null hypothesis stated using symbols? _______________________________________

What is your alternative hypothesis stated using symbols? ________________________________

This is a _______ tailed test. Given what you know, you will evaluate this hypothesis using a _____ statistic.

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