You wish to test the following claim (Ha) at a significance level of a = 0.001.H₂:₁ = μ₂Η«:μι < μεYou obtain the following two samples of data.Sample #18775.467.8 72.3 74.372.6 77.4 75.28065.5 63.3 77.1 73.984.6 71.6 77.2 61.874.5 73 72.6 68.371.7 67.2 74.3 63.374 77.487 71.770.873 80.274.778 70.9 75.5 68.883.9 78.972.5 68.374.4 74.5 73.9 67.574.3 83.9 80.7 75.577.9 68.6 81.672.3 67.5 71.376.8Sample #28982.273 77.265.6 79.862.269.4 82.279.464.367.973.2 81.769.7 6577.4 84.9 68.27578.676.7 67.17984.5 87.4 67.1 71.4The p-value is...7971.4What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =O less than (or equal to) aO greater than aWhat is the p-value for this sample? For this calculation, use the degrees of freedom reported from thetechnology you are using. (Report answer accurate to four decimal places.)p-value=76.4767669.270.7 85.879.472.276.4 86.8This test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first population mean is lessthan the second population mean.O There is not sufficient evidence to warrant rejection of the claim that the first population mean isless than the second population mean.O The sample data support the claim that the first population mean is less than the second populationmean.O There is not sufficient sample evidence to support the claim that the first population mean is lessthan the second population mean.

Given: H0:μ1=μ2 Ha:μ1<μ2 (claim) Required: To test the claim at a significance level α=0.001

Answered: You wish to test the following claim…

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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
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You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:₁ = ₂ Ha: