Test the claim that the mean GPA of night students is larger than 2.8 at the 0.05 significance level.
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![Test the claim that the mean GPA of night students is larger than 2.8 at the 0.05 significance level.
The null and alternative hypothesis would be:
Ho: µ = 2.8 Ho:p = 0.7 Ho:p = 0.7 Ho: u = 2.8 Ho: u = 2.8 Ho:p = 0.7
H1:µ < 2.8 H1:p< 0.7 H1:p > 0.7 H1: µ # 2.8 H1:p > 2.8 H:p 0.7
The test is:
two-tailed left-tailed right-tailed
Based on a sample of 35 people, the sample mean
was 2.81 with a standard deviation of 0.07
The test statistic is:
(to 2 decimals)
The p-value is:
(to 2 decimals)
Based on this we:
O Reject the null hypothesis
O Fail to reject the null hypothesis
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- Test the claim that the mean GPA of night students is larger than 2.4 at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥2.4H0:μ≥2.4H1:μ<2.4H1:μ<2.4 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≤2.4H0:μ≤2.4H1:μ>2.4H1:μ>2.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 80 people, the sample mean GPA was 2.44 with a standard deviation of 0.04Test the claim that the mean GPA of night students is smaller than 2.1 at the .025 significance level. The null and alternative hypothesis would be: Ho:p = 0.525 Ho:µ = 2.1 Ho:p = 0.525 Họ:µ = 2.1 Ho:p = 0.525 Ho:µ = 2.1 H1:p > 0.525 H1:µ > 2.1 H1:p + 0.525 H1:µ + 2.1 H1:p < 0.525 H1:µ < 2.1 The test is: left-tailed two-tailed right-tailed Based on a sample of 40 people, the sample mean GPA was 2.08 with a standard deviation of 0.02 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: OReject the null hypothesis O Fail to reject the null hypothesis Check AnswerTest the claim that the mean GPA of night students is larger than 3.1 at the .025 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: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 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.03The test statistic is: (to 2 decimals)The critical 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 larger than the mean GPA of day students at the .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:μN=μDH0:μN=μDH1:μN<μDH1:μN<μD H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD The test is: two-tailed right-tailed left-tailed The sample consisted of 25 night students, with a sample mean GPA of 3.43 and a standard deviation of 0.03, and 30 day students, with a sample mean GPA of 3.38 and a standard deviation of 0.02.The 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 hypothesisTest the claim that the mean GPA of night students is larger than 2.5 at the 0.005 significance level.The null and alternative hypothesis would be: 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: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: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 75 people, the sample mean GPA was 2.51 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 hypothesisTest the claim that the mean GPA of night students is smaller than 2.5 at the .05 significance level.The null and alternative hypothesis would be: 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: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 The test is: right-tailed two-tailed left-tailed Based on a sample of 35 people, the sample mean GPA was 2.46 with a standard deviation of 0.03The 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 mean GPA of night students is smaller than 2.7 at the 0.10 significance level.The null and alternative hypothesis 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: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.65 with a standard deviation of 0.07The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the mean GPA of night students is smaller than the mean GPA of day students at the .01 significance level. The null and alternative hypothesis would be: Ho: LN = HD Ho: pN = PD Ho:PN = PD Ho: UN = 4D Họ:pN = PD Họ: HN = HD Hị: HN > uD H1: PN # PD H1: PN > PD H1: LN + 4D Hị : pN < PD H1: N < HD The test is: right-tailed left-tailed two-tailed The sample consisted of 25 night students, with a sample mean GPA of 2.87 and a standard deviation of 0.03, and 50 day students, with a sample mean GPA of 2.89 and a standard deviation of 0.04. The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesisTest the claim that the mean GPA of night students is significantly different than 3.5 at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=3.5H0:μ=3.5H1:μ≠3.5H1:μ≠3.5 H0:p=0.875H0:p=0.875H1:p≠0.875H1:p≠0.875 H0:μ=3.5H0:μ=3.5H1:μ<3.5H1:μ<3.5 H0:p=0.875H0:p=0.875H1:p<0.875H1:p<0.875 H0:μ=3.5H0:μ=3.5H1:μ>3.5H1:μ>3.5 H0:p=0.875H0:p=0.875H1:p>0.875H1:p>0.875 The test is: right-tailed left-tailed two-tailed Based on a sample of 45 people, the sample mean GPA was 3.45 with a standard deviation of 0.02The 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 mean GPA of night students is smaller than 2.4 at the .05 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ>2.4H1:μ>2.4 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4H1:μ<2.4H1:μ<2.4 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 60 people, the sample mean GPA was 2.37 with a standard deviation of 0.02The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN=μDH0:μN=μDH1:μN>μDH1:μN>μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD 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 The test is: two-tailed left-tailed right-tailed The sample consisted of 45 night students, with a sample mean GPA of 2.15 and a standard deviation of 0.06, and 35 day students, with a sample mean GPA of 2.16 and a standard deviation of 0.03.The test statistic is: ________(to 2 decimals)The positive critical value is: ________(to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level.The null and alternative hypotheses would be: H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 H0:μ=2.4H0:μ=2.4H1:μ>2.4H1:μ>2.4 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:μ=2.4H0:μ=2.4H1:μ<2.4H1:μ<2.4 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 The test is: right-tailed left-tailed two-tailed Based on a sample of 31 people, the sample mean GPA was 2.36 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
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