Please answer those two questions. Thank you
You may need to use the appropriate appendix table or technology to answer this question. The makers of a soft drink want to identify the average age of its consumers. A sample of 56 consumers was taken. The average age in the sample was 22 years with a standard deviation of 3 years. (Round your answers to three decimal places.) (a) Construct a 95% confidence interval for the true average age (in years) of the consumers. X vyearsto X vyears (b) Construct an 80% confidence interval for the true average age (in years) of the consumers. 21:331 X vyearsto X vyears (c) Discuss why the 95% and 80% confidence intervals are different. (O As the confidence level decreases and all else stays the same, the confidence interval becomes narrower. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. As the confidence level decreases and all else stays the same, the confidence interval becomes wider. O As the sample size decreases and all else stays the same, the confidence interval becomes narrower. O As the sample size decreases and all else stays the same, the confidence interval becomes wider. Submit Answer 16. [-/11 Points] DETAILS ASWSBE14 8.TB.2.044. MY NOTES ' PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. A random sample of 54 observations was taken. The average in the sample was 80 with a variance of 400. (Round your answers to three decimal places.) (a) Construct a 98% confidence interval for u. I ] (b) Construct a 99% confidence interval for u. L (c) Discuss why the 98% and 99% confidence intervals are different. C) As the confidence level increases and all else stays the same, the confidence interval becomes wider. O As the confidence level increases and all else stays the same, the confidence interval becomes narrower. O As the sample size increases and all else stays the same, the confidence interval becomes wider. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. O As the sample size increases and all else stays the same, the confidence interval becomes narrower. (d) What would you expect to happen to the confidence interval in part (a) if the sample size was increased? Be sure to explain your answer. O It would be expected for the interval to shift left or right since the margin of error changed. O It would be expected for the interval to become wider since the margin of error decreased. O It would be expected for the interval to become narrower since the margin of error decreased. O It would be expected for the interval to become wider since the margin of error increased. O It would be expected for the interval to become narrower since the margin of error increased. L J] Qiihmit Anewar
