Consider the following hypothesis test.но: 1-12 30На: М1 - м2 > 0The following results are for two independent samples taken from two populations.Sample 2Sample SizeSample MeanSample VarianceSample 131391422832172(a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.)(d) Test the above hypotheses. Let a = 0.05.(b) Compute the test statistic. (Round your answer to three decimal places.)(c) Determine the p-value. (Round your answer to four decimal places.)Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0.O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - M₂ > 0.Do not reject Ho. There is insufficient evidence to conclude that ₁-H₂ > 0.Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0.

The results of the two independent samples taken from two populations are given below:For sample…

Answered: Consider the following hypothesis test.…

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 sample of 34 observations is selected from a normal population. The sample mean is 45, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ = 46 H1: μ ≠ 46 Is this a one- or two-tailed test? multiple choice 1 One-tailed test Two-tailed test What is the decision rule? multiple choice 2 Reject H0 if −2.326 < z < 2.326 Reject H0 if z < −2.326 or z > 2.326 What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 15 17 17 20 15 12 13 16 15 12 State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14 H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14 H0: ? = 14; H1: ? ≠ 14 H0: ? = 14; H1: ? > 14 What is the value of the sample test statistic? (Round your answer to three decimal places.)
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)
consider the following hypothesis test H0: u = 22 H a :u (canceled =) 22 A sample of 75 is used and the population standard deviation is 10 . Compute the -value and state your conclusion for each of the following sample results. Use a=0.01. Round value to two decimal places and -value to four decimal places. Enter negative values as negative numbers. a. (mean)=23 z-value p-value b. (mean)= 25.1 z-value p-value c. (mean)=20 z- value p-value
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.
3
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
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

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