On the previous midterm, we investigated scores on the Wechsler Intelligence Scale for Children (WISC). Scores in neurotypical children have population mean 100 and population standard deviation 15. For a sample of 49 autistic children, the mean score was 94.6. Assume the population standard deviation is the same in neurotypical and autistic children. A) Test whether the mean WISC score of autistic children is below 10°. Use a 1% significance level. What do you conclude about the mean score of autistic children compared to neurotypical children? B) If we used a 5% significance level instead, which of the following would change? Circle all correct answers (one or more) below. null hypothesis test statistic value p-value z critical value C)lf we had a sample of 100 children instead, which of the following would change? Circle all correct answers (one or more) below. null hypothesis test statistic value p-value z critical value D) What is the power of this test to detect the specific alternative μ-95, that is, that the population mean WISC score of autistic children is 5 points less than that of neurotypical children? (Keep the original 1% significance level and sample size of 49 children) E) Based on your answer to part D (make up a value if you need to), is a sample of 49 children sufficiently large to detect this alternative? Why or why not? F) What is the probability of Type 1 Error for this test? G) What is the probability of Type II Error for this test?
On the previous midterm, we investigated scores on the Wechsler Intelligence Scale for Children (WISC). Scores in neurotypical children have population mean 100 and population standard deviation 15. For a sample of 49 autistic children, the mean score was 94.6. Assume the population standard deviation is the same in neurotypical and autistic children. A) Test whether the mean WISC score of autistic children is below 10°. Use a 1% significance level. What do you conclude about the mean score of autistic children compared to neurotypical children? B) If we used a 5% significance level instead, which of the following would change? Circle all correct answers (one or more) below. null hypothesis test statistic value p-value z critical value C)lf we had a sample of 100 children instead, which of the following would change? Circle all correct answers (one or more) below. null hypothesis test statistic value p-value z critical value D) What is the power of this test to detect the specific alternative μ-95, that is, that the population mean WISC score of autistic children is 5 points less than that of neurotypical children? (Keep the original 1% significance level and sample size of 49 children) E) Based on your answer to part D (make up a value if you need to), is a sample of 49 children sufficiently large to detect this alternative? Why or why not? F) What is the probability of Type 1 Error for this test? G) What is the probability of Type II Error for this test?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Concept explainers
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Topic Video
Question
I only need parts d, e, f, g
Transcribed Image Text:On the previous midterm, we investigated scores on the Wechsler Intelligence Scale
for Children (WISC). Scores in neurotypical children have population mean 100 and
population standard deviation 15. For a sample of 49 autistic children, the mean score
was 94.6. Assume the population standard deviation is the same in neurotypical and
autistic children.
A) Test whether the mean WISC score of autistic children is below 10°. Use a 1%
significance level. What do you conclude about the mean score of autistic children
compared to neurotypical children?
B) If we used a 5% significance level instead, which of the following would change?
Circle all correct answers (one or more) below.
null hypothesis test statistic value p-value z critical value
C)lf we had a sample of 100 children instead, which of the following would change?
Circle all correct answers (one or more) below.
null hypothesis test statistic value p-value z critical value
D) What is the power of this test to detect the specific alternative μ-95, that is, that
the population mean WISC score of autistic children is 5 points less than that of
neurotypical children? (Keep the original 1% significance level and sample size of 49
children)
E) Based on your answer to part D (make up a value if you need to), is a sample of 49
children sufficiently large to detect this alternative? Why or why not?
F) What is the probability of Type 1 Error for this test?
G) What is the probability of Type II Error for this test?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 1 images
Knowledge Booster
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill