Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01significance level.The null and alternative hypothesis would be:Ho:p < 0.525 Họ:µ < 2.1 Họ:p = 0.525 Ho:µ > 2.1 Ho:µ = 2.1 Ho:p 2 0.525Ні:р > 0.525 Hi:д > 2.1 Hi:р#0.525 Hi:д < 2.1 Н::д + 2.1 H:p<0.525%3DThe test is:right-tailed two-tailed left-tailedBased on a sample of 65 people, the sample mean GPA was 2.07 with a standard deviation of 0.03The p-value is:(to 2 decimals)Based on this we:O Reject the null hypothesisO Fail to reject the null hypothesis

Given Population mean μ=2.1, level of significance ɑ=0.01

Answered: Test the claim that the mean GPA of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, 51% owned catsThe test statistic is: (to 2 decimals)The critical 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 people who own cats is significantly different than 90% at the 0.05 significance level. The null and alternative hypothesis would be: 0.9 Но: и H1:p + 0.9 H1:µ # 0.9 H1:p > 0.9 Но: р 0.9 Ho:p 0.9 Ho:H> 0.9 H1: µ > 0.9 H1:p < 0.9 H1:H < 0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 100 people, 83% owned cats
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF 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 The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 25% owned catsBased on a sample of 60 women, 45% owned catsThe test statistic is: (to 2 decimals)The positive critical 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 significantly different than the proportion of women who own cats at the 0.05 significance level.The null and alternative hypothesis would be: H0:pM=pF H1:pM≠pF H0:μM=μFH1:μM>μF H0:μM=μFH1:μM≠μF H0:pM=pFH1:pM>pF H0:pM=pF H1:pM<pF H0:μM=μFH1:μM<μF The test is: right-tailed two-tailed left-tailed Based on a sample of 40 men, 40% owned catsBased on a sample of 60 women, 45% owned catsThe test statistic is: (to 2 decimals)The 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 people who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: 0.3 Но: р > 0.3 Но:р > 0.3 Но:р — 0.3 Но:р 0.3 H1 :µ + 0.3 H1: H 0.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 39% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, re defective. Now, suppose that a finished product is randomly selected. What is the probability that it is defective? O 0.0245 O 0.096 O 0.0577 O 0.0311 O something else O 0.0135
The lowest level of significance to reject the null hypothesis of no linear association between blood pressure and age is: OA: 0.003 OB: 0.05 OC: 0.0002 OD: 0.0001 OE: 0.04
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2You 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 69 85.7 80.8 85.7 85.1 83.8 85.7 77.7 68.4 73 64.1 52.4 97.5 76.3 79.8 84.2 90.2 72.5 60.6 70 75.4 38.6 72.9 96.4 83.1 57 104.3 34 60.6 46.9 69.1 63.2 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 = The p-value is... less than (or equal to) αα greater than αα This test statistic…
Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.1 significance level. The null and alternative hypothesis would be: Ho: µ = 3.5 Ho: µ = 3.5 Ho:p = 0.875 Ho:µ = 3.5 Ho:p= 0.875 Ho:p=0.875 H1: µ 3.5 H1:p# 0.875 H1:p > 0.875 The test is: two-tailed right-tailed left-tailed Based on a sample of 70 people, the sample mean GPA was 3.46 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O 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 .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 50% at the .05 significance level. The null and alternative hypothesis would be: 0.5 Но: и Но:р 3 0.5 Но: и H1:p 0.5 H1:p > 0.5 H1:µ < 0.5 H1:p + 0.5 0.5 Ho:p = 0.5 Họ:µ = 0.5 Ho:p= 0.5 %3| The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 49% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis |Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 35% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=H0:μ=H1:μ<H1:μ<H0:p=0.35H0:p=0.35H1:p≠0.35H1:p≠0.35 H0:μ=H0:μ=H1:μ≠H1:μ≠H0:μ=H0:μ=H1:μ>H1:μ>H0:p=0.35H0:p=0.35H1:p<0.35H1:p<0.35H0:p=0.35H0:p=0.35H1:p>0.35H1:p>0.35 The test is: right-tailed left-tailed two-tailed Based on a sample of 55 men, 255255 of the men owned catsThe test statistic is: z=z=___?___ (to 2 decimals)The positive critical value is zC=zC=1.28155.

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