View PoliciesCurrent Attempt in ProgressUse the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come fromrandom samples, and if the sample sizes are smalI, assume the underlying distributions are relatively normal.Test Ho H1 = H2 vs Ha : H1 > Hz using the sample results I, = 56, s1 = 8.2 with n = 30 and I251, s2 = 6.9 with n2 = 40.(a) 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 =p-value = i%3DeTextbook and MediaHint(b) What is the conclusion of the test? Test at a 5 % level.69°F Cloudysearch

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Answered: Use the t-distribution and the given…

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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Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H1 H2 OC. Ho: H₁ H₂ Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (Round to three decimal places as needed.). Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. ▼ Ho There enough evidence at the 1% level of significance to reject the claim.
Test the claim about the difference between two population means H, and u2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 SH2; a = 0.10. Assume o, #o, Sample statistics: X, = 2417, s, = 179, n, = 12 and X2 = 2296, s2 = 53, n2 = 10 Identify the null and alternative hypotheses. Choose the correct answer below. 대= 내 : "H OF. Ho: H1 2H2 Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V Ho. There V enough evidence at the 10% level of significance to reject the claim.
Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 99 percent confidence interval for the ratio: population variance of population B divided by population variance of population A? Use stattrek.org for finding the needed critical values.
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 Ho : µ = 10 vs Ha : µ > 10using the sample resultsI = 13.2, s = 8.7, with n = 12. (a) 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 = p-value =
Use the data to calculate the sample variance, s. (Round your answer to five decimal places.) n = 7: 1.6, 3.5, 1.6, 2.1, 3.1, 2.9, 3.0 %3D Construct a 95% confidence interval for the population variance, of. (Round your answers to two decimal places.) to Test Ho: = 0.8 versus H: of + 0.8 using a = 0.05. State the test statistic. (Round your answer to two decimal places.) x2 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to two decimal places.) x2 > x² State the conclusion. H, is rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. H, is rejected. There is insufficient evidence to indicate that the population variance is different from 0.8. H, is not rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. O Ho is not rejected. There is insufficient evidence to indicate that the population variance is different from 0.8.
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
For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1 < H2, a = 0.01. Sample statistics: x, = 1215, n, = 45, x2 = 1195, and n2 = 75. Population statistics: 01 = 65 and 02 = 120. (a) The test statistic for H1 - H2 is
2. Scored obtained by a large group of students taking a test are known to be normally distributed. A random sample of twenty-five students test scores yielded the following statistics: 25 と=1Xi 25 1508 x - 95628 Find a 95% confidence interval for the population mean.
Test the claim about the population variance o² at the level of significance a. Assume the population is normally distributed. Claim: o² ≤17.1; x = 0.01 Sample statistics: s² = 25.13, n = 41 Write the null and alternative hypotheses. Ho: H₂:0²
Bob selects independent random samples from wo populations and obtains the values pi 0.700 and p2 confidence interval for p1 – P2 and gets: 0.500. He constructs the 95% 0.200 ± 1.96(0.048) = 0.200 ±0.094. %3| Note that 0.048 is called the estimated standard error of pi – P2 (the ESE of the estimate). Tom wants to estimate the mean of the success rates: Pi + p2 (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (p1 + p2)/2 is 0.024, calculate the 95% confidence interval estimate of (Pi + P2)/2. Hint: The answer has our usual form: Pt. est. ±1.96 × ESE of the estimate.

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