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?

Q: Can question d, e, and f be answered?

A: As per the question we have to find the example of the following graphs : Simple graph having 5…

Q: Need assistance with c through e only!

A:

Q: Express in terms of i. 1. V - 100

A:

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

A:

Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

A:

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B x A. AxB= BxA= Let A = ff, I, y }, B = {r, a,…

A:

Q: can this be done on paper?

A:

Q: Could you

A:

Q: We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198…

A:

Q: enerator would best be m

A: The count represents the discrete case. Thus, we cannot use continuous case normal distribution. The…

Q: answer b and c are not clear, can you upload them again??

A: λ = 1.5 per week  P(X = x ) = e^-λ (λt)x / x! Where x = no of accidents  in a week As per above…

Q: you have to show ur work

A:

Q: Is x and y independent?

A: Given ,the joint probability density function (pdf) of (X,Y) isf(x,y)= Marginal pdf of X is =…

Q: I need help with E,F,g,h please

A: (e) The coefficient of determination, r2, is the proportion of the variation that is explained by…

Q: can you do parts d,e,f aswell please

A:

Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

Q: 5x'e- dr O.r e

A:

Q: What is the magnitude of a=?

A: a=<−1,0,2>To find its magnitude

Q: b. 14, 20

A:

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.