Chapter 6, Section 2-HT, Exercise 121 - MathPad The Autistic Brain Autistic children often have a small head circumference at birth, followed by a sudden and excessive increase in head circumference during the first year of life. A recent study1 examined the brain tissue in autopsies of seven autistic male children between the ages of 2 and 16. The mean number of neurons in the prefrontal cortex in non-autistic male children of the same age is about 1.15 billion. The prefrontal cortex is the part of the brain most disrupted in autism, as it deals with language and social communication. In the sample of seven autistic children, the mean number of neurons in the prefrontal cortex was 1.94 billion with a standard deviation of 0.50 billion. The values in the sample are not heavily skewed. Use the t-distribution to test whether this sample provides evidence that autisticmale children have more neurons (on average) in the prefrontal cortex than non-autistic children. (This study indicates that the causes of autism may be present before birth.) 1Adapted from Courchesne,E., et.al., ‘‘Neuron Number and Size in Prefrontal Cortex of Children with Autism,” Journal of the American Medical Association, November 2011; 306(18): 2001-2010. State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,1.15,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Give the test statistic and the p-value and state the conclusion of the test. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = Enter your answer; test statistic p-value = Enter your answer; p-value Conclusion: Choose the answer from the menu; Conclusion H0. Does the sample provide evidence that autistic male children have more neurons (on average) in the prefrontal cortex than non-autistic children? Yes No

Chapter 6, Section 2-HT, Exercise 121 - MathPad The Autistic Brain Autistic children often have a small head circumference at birth, followed by a sudden and excessive increase in head circumference during the first year of life. A recent study1 examined the brain tissue in autopsies of seven autistic male children between the ages of 2 and 16. The mean number of neurons in the prefrontal cortex in non-autistic male children of the same age is about 1.15 billion. The prefrontal cortex is the part of the brain most disrupted in autism, as it deals with language and social communication. In the sample of seven autistic children, the mean number of neurons in the prefrontal cortex was 1.94 billion with a standard deviation of 0.50 billion. The values in the sample are not heavily skewed. Use the t-distribution to test whether this sample provides evidence that autisticmale children have more neurons (on average) in the prefrontal cortex than non-autistic children. (This study indicates that the causes of autism may be present before birth.) 1Adapted from Courchesne,E., et.al., ‘‘Neuron Number and Size in Prefrontal Cortex of Children with Autism,” Journal of the American Medical Association, November 2011; 306(18): 2001-2010. State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,1.15,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Give the test statistic and the p-value and state the conclusion of the test. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = Enter your answer; test statistic p-value = Enter your answer; p-value Conclusion: Choose the answer from the menu; Conclusion H0. Does the sample provide evidence that autistic male children have more neurons (on average) in the prefrontal cortex than non-autistic children? Yes No

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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Chapter 6, Section 2-HT, Exercise 121 - MathPad

The Autistic Brain

Autistic children often have a small head circumference at birth, followed by a sudden and excessive increase in head circumference during the first year of life. A recent study¹ examined the brain tissue in autopsies of seven autistic male children between the ages of 2 and 16. The mean number of neurons in the prefrontal cortex in non-autistic male children of the same age is about 1.15 billion. The prefrontal cortex is the part of the brain most disrupted in autism, as it deals with language and social communication. In the sample of seven autistic children, the mean number of neurons in the prefrontal cortex was 1.94 billion with a standard deviation of 0.50 billion. The values in the sample are not heavily skewed. Use the t-distribution to test whether this sample provides evidence that autisticmale children have more neurons (on average) in the prefrontal cortex than non-autistic children. (This study indicates that the causes of autism may be present before birth.)

¹Adapted from Courchesne,E., et.al., ‘‘Neuron Number and Size in Prefrontal Cortex of Children with Autism,” Journal of the American Medical Association, November 2011; 306(18): 2001-2010.

State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,1.15,ρ,p^,p^1,p^2,r.

H0: vs Ha:Edit

Give the test statistic and the p-value and state the conclusion of the test.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer; test statistic

p-value = Enter your answer; p-value

Conclusion: Choose the answer from the menu; Conclusion

H0.

Does the sample provide evidence that autistic male children have more neurons (on average) in the prefrontal cortex than non-autistic children?

Yes

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