The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 271 256 267 286 274 275 266 258 271 281 A USE SALT (a) Calculate a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. (Round your answers to three decimal places.) Interpret a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. O we are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values. O we are 90% confident that the true mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values. O There is a 90% chance that the true mean airborne time for flights from Washington Dulles to San Francisco is directly in the middle of these two values. O There is a 90% chance that the true difference in the mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values. O we are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values. (b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a). O If we were to take a large number of random samples of size 10, 95% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 10, 90% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a 10 random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 90, 10% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time. (c) If a flight from San Francisco Washington Dulles scheduled to depart at 10 A.M., what would you recommend for the published arrival time? Explain. O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately S% of flights will arrive after this time. O we would recommend 4:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 1:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 3:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately S% of flights will arrive after this time. O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 95% of flights will arrive after this time.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport.
271
256
267
286
274
275
266
258
271
281
n USE SALT
(a) Calculate a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. (Round your answers to three decimal places.)
Interpret a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles.
O we are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values.
O we are 90% confident that the true mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values.
O There is a 90% chance that the true mean airborne time for flights from Washington Dulles to San Francisco is directly in the middle of these two values.
O There is a 90% chance that the true difference in the mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values.
O we are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values.
(b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a).
O If we were to take a large number of random samples of size 10, 95% of the resulting confidence intervals would contain the true mean airborne time.
O If we were to take a large number of random samples of size 10, 90% of the resulting confidence intervals would contain the true mean airborne time.
O If we were to take a 10 random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time.
O If we were to take a large number of random samples of size 90, 10% of the resulting confidence intervals would contain the true mean airborne time.
O If we were to take a large number of random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time.
(c) If a flight from San Francisco to Washington Dulles is scheduled to depart at 10 A.M., what would you recommend for the published arrival time? Explain.
O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time.
O we would recommend 4:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time.
O we would recommend 1:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time.
O we would recommend 3:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time.
O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 95% of flights will arrive after this time.
Transcribed Image Text:The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 271 256 267 286 274 275 266 258 271 281 n USE SALT (a) Calculate a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. (Round your answers to three decimal places.) Interpret a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. O we are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values. O we are 90% confident that the true mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values. O There is a 90% chance that the true mean airborne time for flights from Washington Dulles to San Francisco is directly in the middle of these two values. O There is a 90% chance that the true difference in the mean airborne time for flights from San Francisco to Washington Dulles is directly in the middle of these two values. O we are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values. (b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a). O If we were to take a large number of random samples of size 10, 95% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 10, 90% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a 10 random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 90, 10% of the resulting confidence intervals would contain the true mean airborne time. O If we were to take a large number of random samples of size 10, 10% of the resulting confidence intervals would contain the true mean airborne time. (c) If a flight from San Francisco to Washington Dulles is scheduled to depart at 10 A.M., what would you recommend for the published arrival time? Explain. O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 4:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 1:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 3:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 5% of flights will arrive after this time. O we would recommend 2:50 P.M., assuming normality and that this sample is representative of the population. We can assume that approximately 95% of flights will arrive after this time.
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