A 95% Confidence Interval (CI) for the true average amount of warpage (mm) of laminate sheets under specified conditions was calculated as (6.83, 6.93), based on a sample size of \( n = 12 \) and the assumption that the amount of warpage is normally distributed.### (a)Suppose you want to test \( H_0: \mu = 7 \) versus \( H_a: \mu \neq 7 \) using \( \alpha = 0.05 \).**What conclusion would be appropriate, and why?**- **Options:** - Since the null value of 7 is in the 95% confidence interval we reject \( H_0 \). There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. - Since the null value of 7 is in the 95% confidence interval we fail to reject \( H_0 \). There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. - Since the null value of 7 is not in the 95% confidence interval we reject \( H_0 \). There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. - Since the null value of 7 is not in the 95% confidence interval we fail to reject \( H_0 \). There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7.- **Correct answer indicated:** - Since the null value of 7 is not in the 95% confidence interval, we reject \( H_0 \). There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7.### (b)If you wanted to use a significance level of 0.01 for the test in (a), what is your confidence interval? (Round your answers to three decimal places.)- **Confidence Interval: (6.848, 6.912) mm****What conclusion would be appropriate?**- **Options:** - Since the null value of 7 is in the 99% confidence interval we reject \( H_

The sample size is n =12The 95% confidence interval for the true average amount of warpage (mm) of…

(a) Suppose you want to test Ho: μ = 7 versus H₁₂: μ = 7 using a = 0.05. What conclusion would be appropriate, and why? O Since the null value of 7 is in the 95% confidence interval we reject Ho. There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. Since the null value of 7 is in the 95% confidence interval we fail to reject Ho. There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. Since the null value of 7 is not in the 95% confidence interval we reject Ho. There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. O Since the null value of 7 is not in the 95% confidence interval we fail to reject Ho. There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. (b) If you wanted to use a significance level of 0.01 for the test in (a), what is your confidence interval? (Round your answers to three decimal places.) 6.848 x 6.912 x ) mm What conclusion would be appropriate? O Since the null value of 7 is in the 99% confidence interval we reject Ho. There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. Since the null value of 7 is in the 99% confidence interval we fail to reject Ho. There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. Since the null value of 7 is not in the 99% confidence interval we reject Ho. There is sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. O Since the null value of 7 is not in the 99% confidence interval we fail to reject Ho. There is not sufficient evidence to conclude that the true average amount of warpage (mm) of laminate sheets under specified conditions is not 7. X X