Consider the following hypotheses.
Upper H0 : μ≤500 |
Upper H1 : μ>500 |
Given that σ=27, n=64, μ=505, and α= .02 , calculate β.
The probability of committing a Type II error is ___
Consider the following hypotheses. Upper H0 : μ≤500 Upper H1 : μ>500 Given that σ=27, n=64,...
Consider the following hypotheses Ho: H 120 H1 : #120 Given that σ-28, n-49, and α-0.02, calculate β for the conditions stated in parts a and b below. Click here to view page 1 of the Standard Normal Distribution table. Click here to view page 2 of the Standard Normal Distribution table α) μ 118 The probability of committing a Type ll error is (RoundtofurdecimalplangaasnellerrorisD
1) Consider the hypotheses shown below. Given that x bar =113, σ = 25, n=49, α=0.01, complete parts a and b. Upper H0: μ =120 Uppe H1: μ ≠ 120 What conclusion should be drawn? a) The z-test statistic is b) The critical z-score(s) is (are) c) Because the test statistic ____ _____ the null hypothesis 2) Consider the hypotheses shown below. Given that x bar=57, σ=12, n=39, α=0.01, complete parts a and b. Upper H0: μ ≤ 54 Upper...
Consider the hypotheses shown below. Given that x = 49, σ = 13, n = 37, α e = 0.10, complete parts a and b. H0: μ ≤ 47 H1: μ > 47 a. What conclusion should be drawn? b. Determine the p-value for this test.
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...
You are given the following null and alternative hypotheses: Ho: μ 30 Ha: μ#30 α-0.05 6. Calculate the probability of committing a Type ll error when the population mean is 25, the sample size is 50, and the population standard deviation is known to be 13. (2)
2. Let X1,.n be a random sample from the density 0 otherwise Suppose n = 2m+ 1 for some integer m. Let Y be the sample median and Z = max(Xi) be the sample maximum (a) Apply the usual formula for the density of an order statistic to show the density of Y is (b) Note that a beta random variable X has density f(x) = TaT(可 with mean μ = α/(a + β) and variance σ2 = αβ/((a +s+...
A test of H0: μ = 20 versus H1: μ > 20 is performed using a significance level of α = 0.05. The value of the test statistic is z = 1.47. If the true value of μ is 25, does the test conclusion result in a Type I error, a Type II error, or a Correct decision?
Consider the hypotheses shown below. Given that x̅=61, σ=15, n=42, α=0.05, complete parts a and b. Ho: μ ≤ 57 H1: μ > 57 a. What conclusion should be drawn? b. Determine the p-value for this test. Friendly Note: This is an example. For Part a, the answer is Z x̅ = 1.73 and Z α = 1.64 For Part b, the p-value is 0.042. I just want to know 2 things. 1) How do you find Z α ?!...
Given the following hypotheses: H0: μ = 600 H1: μ ≠ 600 A random sample of 16 observations is selected from a normal population. The sample mean was 609 and the sample standard deviation 6. Using the 0.10 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject H0 when the test statistic is outside the interval ( , ). ? Compute the value of the test...