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Simple random sample C-D4 A simple random sample of size n is drawn from a population that is normally distributed The sample mean, x, is

Simple random sample C-D4

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A simple random sample of size n is drawn from a population that is normally distributed The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about u if the sample size, n, is 18 (b) Construct a 95% confidence interval about u if the sample size, n, is 26. (c) Construct a 99% confidence interval about p if the sample size, n, is 18 (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (c) Construct a 99% confidence interval about u if the sample size, n, is 18. Lower bound: Upper bound (Use ascending order. Round to one decimal place as needed.) Compare the results to those obtained in part (a) How does increasing the level of confidence affect the size of the margin of error, E? O A. As the level of confidence increases, the size of the interval decreases. O B. As the level of confidence increases, the size of the interval stays the same. O C. As the level of confidence increases, the size of the interval increases. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? O A. No, the population does not need to be normally distributed. 18 Van tha nansilation monde in ha normally distributed Click to select your answer(s)

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