A developer collects a random sample of the ages of houses from two neighborhoods and finds thatthe summary statistics for each are as shown Assume that the data come from a distribution that isNormally distributed Complete parts a through c below.a) Tast the mull hypothesis at 0.05 using the pooled 1-test, identify the null and atative hypotheses Chocose the correct answer belowOA H₂₂0M₂:14-1₂ OOCH₂ H Hy PROH₂H₂ DCompute the statistic. Let the difference of the sample means(Round to two deomal places as needed)MyMay-₂0ORHINONeighborhood Negoz1₂ 307,572-3572-473-7,124,9747

We have Given that n1 =20. n2 =35y¯1=57.2,y¯2=47.3s1 =7.57 , s2 =7.12Significance level…

Answered: A developer collects a random sample of…

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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Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d=x₁-x₂. Test Ho: a = 0 VS Ha : µd ‡ 0 sample results x, = 16.97, sa = 14.0, na = 25. Part 1 Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p- value to three decimal places. test statistic = using the paired difference p-value= Part 2 Give the conclusion using a 5 % significance level. Reject Ho. Do not reject Ho.
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 30; x = 0.04; a=3.13. Sample statistics: x= 28.9, n = 75 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 30 Calculate the standardized test statistic. The standardized test statistic is - 3.04 (Round to two decimal places as needed.) D. Ho: H=30 H₂:30 OF. Ho: > 30 H₂: H=30 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.). OA. The critical values are t OB. The critical value is.
Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. The null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. The alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent. Which of the following describes a Type II error that could result from the test? The test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. A The test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. B The test provides convincing evidence that the proportion is greater than 90%, but the actual…
Independent random samples from normal populations produced the results shown in the table to the right. Assume that the population variances are equal. Complete parts a through d below. a. Calculate the pooled estimate of o². 2 S. = (Round to four decimal places as needed.) b. Do the data provide sufficient evidence to indicate that μ₂ > μ₁? Test using α = 0.10. What are the null and alternative hypotheses? OA. Ho: H₁-H₂ = 0.10 Hai H- Hy 20.10 OC. Ho: H₁-H₂=0 Ha H-Hz0 Ş H₂ = 0.10 Ha: H - Hz≤0.10 Vi (1,0) Sample 1 1.3 2.9 1.6 2.9 2.8 More Sample 2 4.4 2.6 3.8 4.1
Consider the following sample observations on stabilized viscosity of asphalt specimens. 2,762 2,907 3,012 2,813 2,876 Suppose that for a particular application, it is required that true average viscosity be 3,000. Does this requirement appear to have been satisfied? State the appropriate hypotheses. (Use ? = 0.05.) H0: ? > 3,000 Ha: ? < 3,000 H0: ? = 3,000 Ha: ? ≠ 3,000 H0: ? ≠ 3,000 Ha: ? = 3,000 H0: ? < 3,000 Ha: ? = 3,000 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = What can you conclude? Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000. Reject the null hypothesis. There is not sufficient evidence to conclude that…
A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 8, t= -2.8, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) n = 15, t= -3.5, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not…
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 n2. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: H1 ), use "One Tail, a" column with a positive sign two-tailed (+), use “Two Tails, a" column with a negative and a positive sign. (a) Find the critical value assuming that the population variances are equal. Read the T Table when d.f. = n,+ n2 -2 (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 assuming that the population variances are not equal. Read the T Table when d.f.= smaller of n,-1 or n2 -1 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H₁₂; a=0.01. Assume o² #02 Sample statistics: x₁ =2417, s₁ = 174, n₁ = 15 and X2=2301, $255, n₂ = 10 dentify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha H1> H2 OC. Ho: H₁₂ H₂H₁₂ O E. Ho: H1 H2 Hai P1 P2 Find the standardized test statistic t. OB. Ho: H1 H2 D. Ho: H1 H2 H: H₁₂ OF. Ho: 12 Ha H1 H2 Time Remaining: 00:59:29 Next Inser
We have specified the “tailedness” of a hypothesis test for a population mean with null hypothesis H0: μ = μ0. a. draw the ideal power curve. b. explain what your curve in part (a) portrays. left-tailed
The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter. Subject Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce…

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