A cigarette manufacturer sent each of two laboratories presumably identical samples of tobacco.Each made five determinations of the nicotine content in milligrams as follows:(i) 24, 27, 26, 21 and 24(ii) 27,28, 23, 31 and 26.(A) Were the two laboratories measuring the same thing? (Assume normality and commonvariance.) Be sure to state the null and alternative hypothesis and to interpret the result.Use alpha = 0.05.%3D(B) Compute a 95% confidence interval for the difference in two means.

Solution-: Given: n1=5,n2=5,α=0.05 (A) We identify the hypothesis and interpret the result. (B)…

Answered: A cigarette manufacturer sent each of…

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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Use the data below taken from a random sample of adults, and the a = 0.01 level of significance, to determine whether or not there is a significant, positive linear correlation between the length of a person's arm and the amount of money they contribute annually to charity. Which would be correct hypotheses for this test? Sample Data: Ho: p= 0; H₁: p=0 Ho p= 0; H₁: p > 0 Ho : μ = 0; H1 :μ > 0 Ho: p = 0; H₁: p<0 Arm length (cm) Charitable Giving ($) 199 368.6 202 348.74 209 358.41 200 356.72 199 350.71 202 213 193 198 207 208 195 .627 What is the Pearson Correlation Coefficient for the sample data (n)? (Round to three decimals) .029 349.7 374.59 345.04 343.88 358.67 349.41 343.95 Give the P-value: (Round to three decimals) X
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You wish to test the following claim (Ha) at a significance level of a 0.01. Ho: 41 Ha: µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 52.4 66.6 56.9 44 51.3 49.3 51.6 50.4 58.7 31.3 54.4 26.4 39.9 50.1 48.3 24.9 50.9 36.6 54.7 63.4 61.2 42.3 36.3 32.1 37.7 58.4 67.1 35.4 34.1 56.1 43.1 54.7 69 48 56.1 57.8 43.1 54.1 33.2 49.5 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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
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You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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? For this calculation, use the P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…
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