2-test to test the claim σ<41 at the α=0.05 significance level using sample statistics s=41.1 and n=17.
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A: We have given that The claim: The mean GPA of night students is larger than 2.2.
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Q: Test the claim that the mean GPA of night students is significantly different than 2.2 at the 0.01…
A: The claim is the mean GPA of night students is significantly different than 2.2.
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- use the t- distribution and the sample results to complete the test of the hypothesis. use a 5% significance level. Assume the results come from a random sample , and if the sample size is small, assume the underlying distribution is relatively normal . H0: miu=4 vs Ha: miu not equal to 4 using the sample results x bar =4.8 s= 2.3 with n=15. WHAT IS THE P-VALUE?Use a χ2-test to test the claim σ≥38 at the α=0.05 significance level using sample statistics s=36.8 and n=21. Assume the population is normally distributed. LOADING... Click the icon to view the Chi-Square Critical Values Table. Identify the null and alternative hypotheses. A. H0: σ<38 Ha: σ≥38 B. H0: σ>38 Ha: σ≤38 C. H0: σ≥38 Ha: σ<38 D. H0: σ≤38 Ha: σ>38 Identify the test statistic. enter your response here (Round to three decimal places as needed.) Identify the critical value(s). enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below. A. Reject H0. There is not enough evidence at the 5% level of significance to reject the claim. B. Fail to reject H0. There is enough evidence at the 5% level of significance to reject the claim. C. Fail to reject H0. There is not…Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a two-tailed test is z=1.95. A. 0.9744; fail to reject the null hypothesis B. 0.0512; fail to reject the null hypothesis C. 0.0512; reject the null hypothesis D. 0.0256; reject the null hypothesis
- 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: Ho: 2.2 Ho:p ≤ 0.55 Ho:p≥ 0.55 Ho:p = 0.55 Ho:μ = 2.2 Ho:μ ≤ 2.2 H₁: 0.55 H₁:p 2.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.15 with a standard deviation of 0.04 The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 2 decimals)This test statistic leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002. Ho:μ=55.6 Ha:μ>55.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=601n=601 with mean ¯x=57.1x¯=57.1 and a standard deviation of s=19.9s=19.9.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... A.) less than (or equal to) αα B.) greater than α As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 55.6. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than…: Apps M Gmail YouTube Maps Test the claim that the mean GPA of night students is smaller than 3 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.75 Ho:p 0.75 H:µ > 3 H1:u #3 H1:p# 0.75 H1:u<3 %3D The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, the sample mean GPA was 2.97 with a standard deviation of 0.02 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
- 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: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: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:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 The test is: left-tailed two-tailed right-tailed Correct Based on a sample of 60 people, the sample mean GPA was 2.18 with a standard deviation of 0.04The p-value is: Incorrect (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisUse a y-test to test the claim o = 0.48 at the a = 0.01 significance level using sample statistics s = 0.466 and n = 15. Assume the population is normally distributed. Identify the null and alternative hypotheses. YA. Ho: o? = 0.48 O B. Ho: o 20.48 H:o +0.48 H,: o 0.48 Identify the test statistic. (Round to two decimal places as needed.)Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 8% owned catsThe p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- See attachedUse a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u = 52,400; a 0.05 Sample statistics: x = 53,625, s 2700, n 20 %3D Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho H= 52,400 H3i H#52,400 O B. Ho: µz 52,400 Ha =52,400 O C. Ho H252,400 Ha H 52,400 Click to select your answer and then click Check Answer. Check Answer Clear All 3 parts 3 femaining <. 曲苓: re to searchTest the claim that the mean GPA of night students is larger than 3.3 at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p = Ho: 3.3 Ho: ≤ 3.3 Ho:p ≤ 0.825 H₁:μ 3.3 H₁: p > 0.825 0.825 Ho:p≥ 0.825 Ho:μ = 3.3 H₁:p ‡ 0.825 H₁:p < 0.825 H₁:µ ‡ 3.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 3.33 with a standard deviation of 0.06 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
