QUESTION 1 Let X₁, X2, ..., X20 be a random sample from a population X with density f(x; 0) = (0*(1-0)¹-x, x = 0,1. 0, otherwise there 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against If H, is rejected when X₁ ≤ 6. then what is the probability of type I error? If H, is rejected when Σ20₁ X₁ ≤ 6. then what is the probability of type I error?
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Question 3 A product is classified according to the number of defects it contains and the factory that produces it. Let X and Y be the random variables that represent the number of defects per unit (taking on possible values of 0, 1, 2, or 3) and the factory number (taking on possible values 1 or 2), respectively. The entries in the table represent the joint possibility mass function of a randomly chosen product.Question 5.4 D,E,F,G,H,I with bell curve drawing
- QUESTION 5 The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or equal to the critical value. True FalseQuestion 1The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large 390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production.(ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts.J 1 Problem 126. Let X and Y be discrete random variables with joint probability mass function pX,Y (x, y) = C/[(x + y − 1)(x + y)(x + y + 1)], x, y = 1, 2, 3, . . . Determine the marginal mass functions of X and Y
- Question 9 There are two random variables X and Y, and their correlation coefficient ρX,Y = 0.7. Now, we have two new random variables A = 2.5X+1 and B = 4Y+2. Please compute the correlation coefficient of A and B, ρA,B . Please round your answer correctly to one decimal place. Answer:_________________f X1,X2,...,Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + ···+ Xn is a sufficient estimator of the parameter θ.Section 9.3 Question #2 Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d-- and sd. In general, what does μd represent? Temperature (°F) at 8 AM 98.2 99.1 97.2 97.7 97.5 Temperature (°F) at 12 AM 99.0 99.8 97.5 97.3 97.9 Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample. Find the values of d-- and sd. _ d= _________________ (Type an integer or a decimal. Do not round.) sd= ____________ (Round to two decimal places as needed.) In general, what does μd represent? A. The difference of the population means of the two populations B. The mean of the differences from the population of matched data C. The mean value of the differences for the paired sample data D. The mean of the means of each matched pair from the population of matched…
- Question 1 The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week: The information is as follows: Extra Small Small Medium Large Extra Large 390 470 520 680 440 a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts produced rather than examine the entire weekly production. (ii) State two differences between a cluster sample and a stratified random sample in this situation. (iii) Using the stratified random sampling technique, calculate the number of medium shirts that will be selected if we require a sample of 375 shirts.3. QUESTION 3 The test statistic for a Wilcoxon signed-rank test is always the smaller of the number of the total number of positive or negative signs. True FalseProblem 1. A continuous random variable X is defined by f(x)=(3+x)^2/16 -3 ≤ x ≤ -1 =(6-2x^2)/16 -1 ≤ x ≤ 1 =(3-x^2)/16 -1 ≤ x ≤ 3 a)Verify that f(x) is density. b)Find the Mean