Find the probability of Type-Il error for the following hypothesis given that u = 196:Ho:µ = 200Η:μ< 200The significance level is 10%, the population standard deviation is 30, and the sample size is 25. Whatis the probability of making Type-II error?In Assessment-Assignment, show your solution in detail (using the critical and p-value approach)a) 0.7324b) 0.5684c) None of the answers are correctd) 0.4022e) 0.8012

Solution-: Given : μ=196,μ0=200,n=25,σ=30,α=0.10 Hypothesis: H0:μ=μ0=200 Vs H1:μ<200 (Left…

Answered: Find the probability of Type-Il error…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A severe storm has an average peak wave beight of 16,4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis? Is the P-value area on the left, right, or on both sides of the mean? O H:a is less than 16.4 feet; the P-value area is on the left of the mean O H:u is less than 16.4 feet; the P-value area is on the right of the mean O H: u is greater than 16.4 feet; the P-value area is on the right of the mean OH:u is not equal to 16.4 feet: the P-value area is on the left of the mean OH : u is not cqual to 16.4 feet; the P-value area is on the right of the mean
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40. Give the test statistic and the p-value. What is the conclusion?
The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
For the hypothesis test Ho: u = 14 against H1:µ < 14 and variance known, calculate the P-value for the following test statistic: Z0 = - 1.96. Round your answer to three decimal places (e.g. 98.765). P-value
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=391. Sample statistics: x=5900, n=49 Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8% significance level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. D. Reject H0. At the 8% significance level, there is enough evidence to reject the claim.
Results of a research claim to predict wind speed at a place with a variance of 4 km/hr or less. A random sample of 24 measurements provides a sample variance of s2 = 4.9. Assuming that the population distribution of wind speed is approximately normal, check the validity of the claim at 5% level of significance using chi-square test.
Test the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=391. Sample statistics: x=5900, n=49 Question content area bottom Part 1 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ≥6000 Ha: μ≠6000 B. H0: μ≠6000 Ha: μ=6000 C. H0: μ≠6000 Ha: μ≤6000 D. H0: μ=6000 Ha: μ≠6000 E. H0: μ≠6000 Ha: μ≥6000 F. H0: μ≤6000 Ha: μ≠6000
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Hg P2. a= 0.20, n, =6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. DELL

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