Given X₁, X₂, X3, X4-N(μ, 9) and suppose we have the following hypothesis of interest: Ho:μ = 25 VS H: μ < 25 Jse CR = {XIX ≤ 23) and (0) = P(rei. Ho 10) and determine the significance level and power of a test.
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- 3. Consider a test of H0: u=55 versus Ha: u<55 performed. Make the appropriate conclusion for the given situation: z-value=-1.75, a=.05, p-value=.0401. a. reject H0 b. fail to reject H0 4. Consider a test of H0: u=40 versus Ha: u>40 performed. Make the appropriate conclusion for the given situation: z=-2.5, a=.01, p-value=.0062. a. reject H0 b. fail to reject H0Consider the data. х, | 2 6 13 20 9 17 10 27 24 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, + 0 H: B, = 0 O Ho: B, 2 0 H: B, < 0 O Ho: B, = 0 H: B + 0 O Ho: Bo = 0 H: Bo + 0 O Ho: Bo + 0 H: B, = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H. We cannot conclude that the relationship between x and y is significant. O Do not reject Hn. We conclude that the relationship between x and y is significant. O Reject H. We conclude that the relationship between x and y is significant. O Do not reject H.. We cannot conclude that the relationship between x and y is significant.The mean height of a certain kind of plant is 173 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 173. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 S OSuppose E(X) = 1.50, E(Y) = 0.55, E(XY) = 0.80, Var(X) = 0.25, and Var(Y) = 0.2475 for two random variables X and Y. Which of the following can be said about the relationship between the X and Y variables? note: no explanantion needed just the answer A:weak positive relationship b:weak negative relationship d:strong negative relationship c:strong positive relationshipX .Xs are a random sample from a N(u, 5) population. To test the hypothesis Ho : u = 110 vs H: = 112 a statistician uses the test: Reject H if X > c, where c is a %3D real number. a) Define the terms level of significance and power of a test. b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) Hint: If X,..Xs~ N(.5) then whatis the distribution of X? In particular, what is its distribution under H ? .... c) Determine the power of the test for the value of c found in (b).The mean height of a certain kind of plant is 167 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 167. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 H;: 0 OIf the results of the test with the following hypotheses are statistically significant, we have found evidence that: Hypotheses: h0: u1 = u2 ha: u1>u2 A: X<x2 B: x1 is not equal to x2 c: u1>u2 D: u1=u2 E: x1>x2 F: u1<u2CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult Americans at random define the variable x as: x= number of people in the sample of 10 that have a food allergy a. p(x<3) b. p(x lesss than or equal to 3) c. p (x greater than or equal to 4) d. p (1 less than or equal to x less than or equal to 3)Q1. Let X and S be the mean and variance of independent random samples of size n; from populations with mean H; and variance of (i = 1, 2), respectively where u, = 20, of = 9, n = 36 and 4z = 18, ož = 16, n2 = 49. Find (using MINITAB or Tables of cdf) a) P(X, > 20.98) b) x such that P(X, 12.8062) d) si such that P(S{ > s{) = 0.80 e) P(X, - X2 > 0.2336) ) P(S{/S > 0.8368) %3D %3DQ1. Let X; and S be the mean and variance of independent random samples of size ni from populations with mean H; and variance of (i = 1,2), respectively where u, = 20. of = 9, n1 = 36 and u2 = 18, ož = 16, n2 = 49. Find (- a) P(X, > 20.98) b) x such that P(X, 12.8062) d) si such that P(S} > s3) = 0.80 e) P(X1 – X2 > 0.2336) n P(SE/S글 > 0.8368) %3DSuppose a researcher uses 36 pairs of identical twins (i.e., dependent data) to compare two treatments. For each set of twins, one twin is randomly assigned to Treatment 1 and his/her twin is assigned to Treatment 2. In evaluating the calculated t value, how many degrees of freedom (df) does the researcher have?A. 36B. 72C. 35D. 37I need help with B ONLY. Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8universities in California gave the following information about enrollments and annual burglary incidents. x 10.5 30.6 24.5 14.3 7.5 27.7 16.2 20.1 y 23 75 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. (Submit a file with a maximum size of 1 MB.) This answer has not been graded yet. (b) Use a calculator to verify that Σ(x) = 151.4, Σ(x2) = 3341.34,Σ(y) = 245, Σ(y2) = 10179 and Σ(x y) = 5509.9.Compute r. (Enter a number. Round to 3…SEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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