2. Suppose that we are testing Ho: determine our Data Test Statistic is 25 vs. Hou...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
Suppose that we are testing Ho: vs. Ha: at the .05 level and we are going to collect 10 pieces of data and . Determine the probability of Type II error for the alternative .
2. Perform the following .05 level test: Ho: 6 = 2.5 vs. Ha: 0 < 2.5, given a random sample of 10 pieces of data had a mean of 13.6 and a standard deviation of 1.7. Ho: Test Statistic: Ha: p-value: Conclusion (Circle Answer): Fail to Reject Ho R eject Ho
1. Let X1,...,xn vid N (4,1). Suppose, we are interested in testing the following hypotheses Ho : M = Mo VS H, :μ# μο The goal of this exercise is for you to understand that, in this setting, we can construct a good test, which is not however UMP. (a) Suppose you were testing Ho :μ = μo Vs H, :μ< μο. Show that the uniformly most powerful a-level test would reject H, if 21-a Χ4 μο vn Call this...
the test statistic of z = 1.39 is obtained when testing the claim that p>0.8. a. Identify the hypothesis test as being two tailed, left tailed, or right tailed. b. Find the P-value. c. Using a significance level alpha = 0.05, should we reject Ho or should we fail to reject Ho? d. What is the correct conclusion for this test?
X1-X2-10 24. Consider the test HoHa-μ2-10 vs. μι-μ2 > 10 using the test statistic z-1-2 n1 n2 Suppose throughout that σ1-15 and σ2 20. a) Find the p-value if X1 -145.8 based on 50 samples and X2 -130.1 based on 50 samples b) Assume that the significance level of the test is 0.03. What is the conclusion?If it turns out that the conclusion was an error, is it a type I or type II error? c) Assuming the significance level...
The one-sample 1-statistic for a test of Hou = 42 versus H: < 42 based on n= 15 observations has the value I = -1.757, where Ho and H are the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this 7-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the i-table. C P KP-value of the test -value of the test < 0
In testing H0: μ = 10 vs Ha: μ 6= 10, we find the test z-statistic is z(obs) = −2.5 Find the P-value of the test.
1. Suppose that we are testing Hor = po versus H : > Ho with a sample size of n = 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to = 2.35 (b) to = 3.55 (c) to = 1.55
the test statistic of z=-1.35 is obtained when testing the claim that p=2/3 A) using a significance level of a=0.10, find the critical value(s)? B) should we reject Ho or should we fail to reject Ho? (round to two decimal places as needed. use a comma to separate answers as needed.)