Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Ho :p = 0.5 Ho : µ = 2 Ho:µ< 2 Ho:p> 0.5 Họ:p<0.5 Ho :µ > 2 H1 :p + 0.5 H1 :µ # 2 H1:µ > 2 H1:p< 0.5 H1 :p> 0.5 H1:µ < 2 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.05 The test statistic is: |(to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Ho :p = 0.5 Ho : µ = 2 Ho:µ< 2 Ho:p> 0.5 Họ:p<0.5 Ho :µ > 2 H1 :p + 0.5 H1 :µ # 2 H1:µ > 2 H1:p< 0.5 H1 :p> 0.5 H1:µ < 2 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.05 The test statistic is: |(to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis

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Description: Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level.The null and alternative hypothesis would be:Họ :p = 0.5 Họ:µ = 2 Ho:u 0.5 Ho:p 2H1 :p + 0.5 H1:µ # 2 H1:µ > 2 H1:p

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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Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.The null and alternative hypothesis would be: H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD The test is: two-tailed left-tailed right-tailed The sample consisted of 45 night students, with a sample mean GPA of 2.48 and a standard deviation of 0.07, and 45 day students, with a sample mean GPA of 2.51 and a standard deviation of 0.08.The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1H1:μ>3.1H1:μ>3.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.85 Ho:µ 0.85 Ho:µ= 3.4 Ho:µ > 3.4 H1:p + 0.85 H1:µ > 3.4 H1:p > 0.85 H1:p < 0.85 H1:µ # 3.4 H1:µ < 3.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 20 people, the sample mean GPA was 3.39 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=12n=12 subjects. The average difference (post - pre) is ¯d=−44.4d¯=-44.4 with a standard deviation of the differences of sd=39.4sd=39.4.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final…
Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P 0 O Ho: P #O H₂: p=0 O Ho: P = 0 H₁₂ :P #0 8.07 24.69 12.33 6.85 24.22 35.69 y 0.29 0.65 0.31 0.27 0.80 0.57 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. r= Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Fail to reject Ho. The data indicates that the…
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:pM=pFH1:pM<pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM≠pF H0:μM=μFH1:μM≠μF H0:μM=μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 60 women, 55% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than 30% at the .10 significance level. The null and alternative hypothesis would be: Ho: p=0.3 H₁:μ0.3 O Ho: p= 0.3 H₁:p> 0.3 Ο Η : μ = 0.3 Η : μ 0.3 ○ Ho: p= 0.3 H₁: p<0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)
Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.04 significance level.The null and alternative hypotheses would be: H0:μ=2.7H0:μ=2.7H1:μ≠2.7H1:μ≠2.7 H0:p=0.675H0:p=0.675H1:p>0.675H1:p>0.675 H0:p=0.675H0:p=0.675H1:p<0.675H1:p<0.675 H0:μ=2.7H0:μ=2.7H1:μ>2.7H1:μ>2.7 H0:p=0.675H0:p=0.675H1:p≠0.675H1:p≠0.675 H0:μ=2.7H0:μ=2.7H1:μ<2.7H1:μ<2.7 The test is: left-tailed two-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.66 with a standard deviation of 0.16The p-value is: (to 3 decimals)The positive significance level is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=40n=40 subjects. The average difference (post - pre) is ¯d=3.2d¯=3.2 with a standard deviation of the differences of sd=9.6sd=9.6.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…
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level. (a) The null and alternative hypothesis would be: H0:πN=πD H1:πN<πD H0:μN=μD H1:μN<μD H0:μN=μD H1:μN>μD H0:πN=πD H1:πN>πD H0:πN=πD H1:πN≠πD H0:μN=μD H1:μN≠μD (b) The test is: right-tailed left-tailed two-tailed The sample consisted of 45 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 45 day students, with a sample mean GPA of 3.01 and a standard deviation of 0.03. (c) The t-score is: (Round to 2 decimal places.) (d) The p-value is: (Round to 4 decimal places.) (e) Based on this we conclude: null is plausible strong support for the alternative
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned catsThe p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 25% owned catsBased on a sample of 60 women, 30% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis