Problem 1. Let Y;, i = 1,...,n be independent N(Bo + Y;B1, 0²) and let W1,..., Wm independent N(7 + w;Y1, o²), with known, and non-random, numbers y1,..., Yn, W1, ..., Wn. Construct a test of Ho : B1 =Y1 against H.: B1 # Y1. be
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- Question No. 4: According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Table 4.1 Software Developers 56 54 54 49 61 48 58 60 59 53 50 58 55 57 52 Web Developers 47 50 46 47 48 49 46 55 44 42 ---- a) What is the third quartile of spending working hours for Software developers? b) Create a box plot for the number of hours worked for Software developers. c) Create a box plot for the number of hours worked for Web developers. d) Comment on the differences between the box plots for Software & Web developers.Question 8- Letter c. Need assistance finding cohen's d and stating null/alt hypothesisIf X1, X2, ... , Xn constitute a random sample of size nfrom a geometric population, show that Y = X1 + X2 +···+ Xn is a sufficient estimator of the parameter θ.
- For a population with u=60 and o=4, the X value corresponding to z=1 would beSuppose X and Y are random variables with E[XY ] = 6, E[Y ] = 4 and E[X] = 5 Find Cov(X; Y )Consider the linear model Yi = B0 + B1X1i + B2X2i + ui where ui is the error term and where E(ui|X1i,X2i) = 0, observations (Yi,X1i,X2i) are independent and identically distributed, 0 < E(Y4) < 1, 0 < 1i E(X14i) < 1, 0 < E(X24i) < 1 and where X2i = X12i. Are the OLS estimators Bˆ1 and Bˆ2 of the coe¢cients B1 and B2 unbiased and consistent? Explain.
- Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blue, and 5 white balls. If we let X and Y denote, respectively, the number of red and white balls chosen. a) Solve for P(x=0, y=0) b)Solve for P(x=1, y=2) c)Solve for P(x=2, y=1)Question 4a. A large accountancy firm finds that over the long run 10% of its statements for clients are in error in some way. A quality assurance officer at the firm investigating the source of the errors takes a sample of 20 statements produced by a single employee and classifies each as being “in error” or “not in error”.i. If the variable X is used to represent the number of statements in the sample that are in error, and assuming the error rate is the firm’s level of 10% then state:• the type of distribution this variable has; and• the parameter/s of this distribution. ii. Determine the probability that 2 or less returns in this sample are in error. The quality assurance officer found that there were 5 statements in the sample that were in error.iii. Determine the probability of finding 5 or more returns in error if indeed the error rate was 10%. iv. Based upon your answer for part iii., what conclusion might the quality assurance office make about this employee in terms of the…Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
- question 2 Give the rejection region. Group of answer choices t greater than 1.68 z greater than 1.68 z greater than 0.55 t greater than 0.55 question 3 Give the test statistic. Group of answer choices t = 0.55 z = 0.55 z = 1.68 t = 1.68 question 4 Give the conclusion. Group of answer choices Reject the null since the test statistic is in the rejection region. Fail to reject the null since the test statistic is not in the rejection region.Question #1 chpt 10 hypothesis test and H0 and HaResistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?