**Test the Hypothesis**The hypothesis to be tested is whether \(\sigma_1 < \sigma_2\) at the \(\alpha = 0.05\) level of significance, using the sample data provided. It is assumed that both populations are normally distributed. The P-value approach will be utilized for testing.**Sample Data**A table provides the following statistics for two populations:- **Population 1:** - Sample size (\(n\)): 50 - Sample standard deviation (\(s\)): 8.3- **Population 2:** - Sample size (\(n\)): 28 - Sample standard deviation (\(s\)): 10.1**Hypothesis Statements**Define the null and alternative hypotheses for this statistical test:- \(H_0\): [Dropdowns for user selections]- \(H_1\): [Dropdowns for user selections] These dropdowns are placeholders for users to select the correct mathematical symbols for their hypothesis testing.

We’ve to test, H0: σ1>=σ2 H1: σ1<σ2

Answered: Test the hypothesis that σ₁ <0₂ at the…

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, 81 = 7.55 Sample 2: n2 = 3, x2 = 21.9, 82 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
Assume that you have a normally distributed variable with known standard variance. How many standard errors do you need to add and subtract from the sample mean to obtain a 95% confidence interval?
Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. samples = 100 mean = 0.341 st. dev = 0.039 40 30 20 10 0 0.20 Left Tail Two-Tail Right Tail 0.25 0.30 0.35 null = 0.33 Ja 0.40 ⠀ 0.45
Do men have a higher body temperature than women? Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. The table shows results from a study of body temperatures of men and women. At the 0.05 significance level, test the claim that men have a higher body temperature than women. Men Women n1 = 13 n2 = 16 xˉx̄1 = 97 °F xˉx̄2 = 95.17 °F s1 = 0.26 °F s2 = 0.57 °F What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ μ₁ p p₂ μ₂ μ μ(men) p̂₁ x̄₁ σ₁² p₁ s₁² ? > < ≥ ≠ ≤ = Select an answer p̂₁ p₁ μ μ₁ p x̄₁ μ₂ s₁² x̄₂ μ(women) σ₁² p₂ H1: Select an answer σ₂² μ p̂₂ p₁ p p₂ x̄₁ μ(men) x̄₂ μ₂ μ₁ s₂² ? = ≤ > < ≥ ≠ Select an answer s₁² x̄₁ μ₂ μ p̂₁ x̄₂ σ₁² μ(women) p₁ p p₂ μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find…
Use a y-test to test the claim o 35 H, o35 hir winga H, o>35 Identify the test statistic. 18.652 (Round to three decimal places as needed.) me Identify the critical value(s). nts (Round to three decimal places as needed. Use a comma to separate answers as needed.) t: C k Contents edia Library View an example Get more help - Clear all Check answer Help me solve this Plan ior SucceSE 72°F A a a 99+ P Type here to search 10/05/17 Delete PrtSc Insert F12 E11
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
Plz help asap 41
Suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 9 and an IRS from B of size 4. The POOLED variance is 18.72. What is the MARGIN OF ERROR for the 99 percent confidence interval for the difference of population means if we assume both populations have the same population variance? Group of answer choices
What is the population of interest? And what are the hypotheses?
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: Hy
N1=26 n2=13 Mean1=48 mean2=45 Standard deviation1=9,2 Standard deviation2=4,1 b) Construct a 95% confidence interval to test whether the two sample means differs. Interpret your answers. c) State the assumptions used
Do Predicted Temperatures match Actual Temperatures? The table shows the predicted and actual temperatures for a seven day period. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the predicted and actual temperatures. (Be sure to subtract in the same direction). Predicted Temperatures °F Actual Temperatures °F Difference °F 87 87 83 85 78 75 81 86 85 90 80 81 76 79 What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an answer v? Select an answer H1: Select an answer ? v Select an answer Original Claim = Select an answer Select an answer H: Ho df =

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Test the hypothesis that σ₁ <0₂ at the a= 0.05 level of significance for the given sample data. Assume that the populations are normally distributed. Use the P-value approach. State the null and alternative hypotheses for this test. Но H₁: h 3 TE Population 1 Population 2 50 28 8.3 10.1