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Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen display are based on a 95% confidence level. Write a statement that correctly Interprets the confidence interval.

Tinterval

(13.046,22.15)

x= 17.598

Sx= 16.01712719

n = 50

Choose the correct answer below.

O A. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports

O B. The limits of 13.05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.

O C. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports.

O D. The limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports.

what is the interpretation of a 96% confidence level?

A. The interval contains 96% of all sample means.

B. ​There's a 96% chance that the given interval includes the true value of the population parameter.

​C. Approximately 96 out of 100 such intervals would include the true value of the population parameter.

D. ​There's a 4% chance that the given interval does not include the true value of the population parameter.

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}xˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.�

a simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is  15.

1. Compute the 95% confidence interval for the population mean.

2. Assume that the same sample mean was obtained from a sample of 120 items. Provide

   a 95% confidence interval for the population mean.

3. What is the effect of a larger sample size on the interval estimate?