Use 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 small, assume the underlying distributions are relatively normal.Test Ho M₁ M₂ Vs H₂ = μ₁ ‡ µ₂ using the sample results +₁n₂ = 80.=(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 = i15.3, S₁ = 11.6 with n₁ = 100 and ₂ = 18.4, s2 = 14.3 withp-value = i

The given information is as follows:Hypotheses:H0: µ1=µ2.Ha: µ1=µ2.

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 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.
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<μ2, α=0.01.Sample statistics: x1=1220, n1=35, x2=1190, and n2=65. Population parameters: σ1=65 and σ2=105. Part 1 (a) The test statistic for μ1−μ2 is _____ b) The standardized test statistic for μ1−μ2 is _______ (Round to two decimal places as needed.) Part 3 (c) Is the standardized test statistic in the rejection region? Part 4 (d) Should you reject or fail to reject the null hypothesis? H0: μ1≥μ2; Ha: μ1<μ2. (Fail to reject/Reject) H0. At the % significance level, there is (not enough/ enough) evidence to support the claim.
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho : p = 0.3 vs Ha : p < 0.3 using the sample results p = 0.19 with n = 202 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = i p-value = i
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 =
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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho : p = 0.3 vs Ha : p < 0.3 using the sample results p = 0.23 withn = 202 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = i ! p-value = i
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. (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 =
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=20 with a mean of ¯x1=55.2 and a standard deviation of SD1=11.3SD1=11.3 from the first population. You obtain a sample of size n2=18 with a mean of ¯x2=48.3 and a standard deviation of SD2=7.2 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to…
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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