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.
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.
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Transcribed Image Text:**Understanding Confidence Intervals in Airport Data Speeds**
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.
**Confidence Interval Results:**
- TInterval: (13.046, 22.15)
- Mean (x̄): 17.598 Mbps
- Standard deviation (Sx): 16.01712719 Mbps
- Sample size (n): 50
**Choose the correct answer below:**
- **A.** 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.
- **B.** The limits of 13.05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.
- **C.** 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.
- **D.** 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.
**Explanation of Graph/Diagram:**
The information provided is a straightforward presentation of a confidence interval derived from a sample of data speeds measured at airports. The interval (13.046, 22.15) represents the range within which the true mean of the population is expected to fall with 95% confidence, based on the calculations using the sample data.
This example serves to illustrate how statistical methods are used to estimate the characteristics of a larger population from which the sample was drawn, providing insights that inform decision-making processes in various applications, such as optimizing airport data systems.
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