Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.025 significance level. The null and alternative hypothesis would be: H0:p≥0.55H0:p≥0.55 H1:p<0.55H1:p<0.55 H0:μ≥2.2H0:μ≥2.2 H1:μ<2.2H1:μ<2.2 H0:p=0.55H0:p=0.55 H1:p≠0.55H1:p≠0.55 H0:μ≤2.2H0:μ≤2.2 H1:μ>2.2H1:μ>2.2 H0:μ=2.2H0:μ=2.2

Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.025 significance level. The null and alternative hypothesis would be: H0:p≥0.55H0:p≥0.55 H1:p<0.55H1:p<0.55 H0:μ≥2.2H0:μ≥2.2 H1:μ<2.2H1:μ<2.2 H0:p=0.55H0:p=0.55 H1:p≠0.55H1:p≠0.55 H0:μ≤2.2H0:μ≤2.2 H1:μ>2.2H1:μ>2.2 H0:μ=2.2H0:μ=2.2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.
Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 H0:μ≥2.2H0:μ≥2.2H1:μ<2.2H1:μ<2.2 H0:μ≤2.2H0:μ≤2.2H1:μ>2.2H1:μ>2.2 H0:p=0.55H0:p=0.55H1:p≠0.55H1:p≠0.55 H0:p≤0.55H0:p≤0.55H1:p>0.55H1:p>0.55 H0:p≥0.55H0:p≥0.55H1:p<0.55H1:p<0.55 The test is: right-tailed left-tailed two-tailed Based on a sample of 20 people, the sample mean GPA was 2.18 with a standard deviation of 0.06The 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 Submit Question Question 16
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Test the claim that the mean GPA of night students is larger than 2.2 at the 0.025 significance level.The null and alternative hypothesis would be: H0:p=0.55H0:p=0.55H1:p≠0.55H1:p≠0.55 H0:μ≥2.2H0:μ≥2.2H1:μ<2.2H1:μ<2.2 H0:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 H0:μ≤2.2H0:μ≤2.2H1:μ>2.2H1:μ>2.2 H0:p≥0.55H0:p≥0.55H1:p<0.55H1:p<0.55 H0:p≤0.55H0:p≤0.55H1:p>0.55H1:p>0.55 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.23 with a standard deviation of 0.02The 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 mean GPA of night students is smaller than 2.5 at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.625H0:p=0.625H1:p≠0.625H1:p≠0.625 H0:p≥0.625H0:p≥0.625H1:p<0.625H1:p<0.625 H0:μ≤2.5H0:μ≤2.5H1:μ>2.5H1:μ>2.5 H0:μ≥2.5H0:μ≥2.5H1:μ<2.5H1:μ<2.5 H0:p≤0.625H0:p≤0.625H1:p>0.625H1:p>0.625 H0:μ=2.5H0:μ=2.5H1:μ≠2.5H1:μ≠2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 35 people, the sample mean GPA was 2.48 with a standard deviation of 0.03The 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 mean GPA of night students is smaller than 2.8 at the 0.025 significance level.The null and alternative hypothesis would be: H0:μ≥2.8H0:μ≥2.8H1:μ<2.8H1:μ<2.8 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ=2.8H0:μ=2.8H1:μ≠2.8H1:μ≠2.8 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:μ≤2.8H0:μ≤2.8H1:μ>2.8H1:μ>2.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.77 with a standard deviation of 0.07The 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 larger than 2.2 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.55H0:p≤0.55HA:p>0.55HA:p>0.55 H0:μ=2.2H0:μ=2.2HA:μ≠2.2HA:μ≠2.2 H0:μ≥2.2H0:μ≥2.2HA:μ<2.2HA:μ<2.2 H0:p=0.55H0:p=0.55HA:p≠0.55HA:p≠0.55 H0:p≥0.55H0:p≥0.55HA:p<0.55HA:p<0.55 H0:μ≤2.2H0:μ≤2.2HA:μ>2.2HA:μ>2.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.25 with a standard deviation of 0.03The 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 3.2 at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≥3.2H0:μ≥3.2H1:μ<3.2H1:μ<3.2 H0:μ≤3.2H0:μ≤3.2H1:μ>3.2H1:μ>3.2 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=3.2H0:μ=3.2H1:μ≠3.2H1:μ≠3.2 Based on a sample of 55 people, the sample mean GPA was 3.16 with a standard deviation of 0.06The p-value is:
Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥2.3H0:μ≥2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 H0:p≤0.575H0:p≤0.575H1:p>0.575H1:p>0.575 H0:μ≤2.3H0:μ≤2.3H1:μ>2.3H1:μ>2.3 H0:p≥0.575H0:p≥0.575H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.26 with a standard deviation of 0.08The 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 significantly different than 2.8 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥2.8H0:μ≥2.8H1:μ<2.8H1:μ<2.8 H0:μ=2.8H0:μ=2.8H1:μ≠2.8H1:μ≠2.8 H0:p≥0.7H1:p<0.7 H0:μ≤2.8H1:μ>2.8 H0:p=0.7H1:p≠0.7 H0:p≤0.7H1:p>0.7 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 2.84 with a standard deviation of 0.05The 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 smaller than 50% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned catsThe test statistic is:  (Round to 2 decimals)The p-value is:  (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not 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