(6) Suppose X1 and X2 are iid samples and consider the null hypothesis Ho : X; ~ N(0, 1) versus the alternative H1 : X; ~ U[0,2] for i = 1, 2. (a) Show that the critical region of a likelihood ratio test is of the form S\C, where S is a square and C is a circle. (b) Determine the size and power of the test o for which the radius of the circle equals the side length of the square. (c) Determine the power of the test for which the size is 0.05.

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 5/14+1/6

A: 514+16=15+742

Q: 196. 2(n+1)

A:

Q: 4root2*4root2

A:

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 57-24

A: Given that: 57-24

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 18(9+7)+3

A: 18(9+7)+3

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.