The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 269 255 267 285 274 275 266 258 271 281 (a) Compute 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. 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.We are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values. 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.We are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values.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. (b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a). 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.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. 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.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.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. 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.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. 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.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.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. You may need to use the appropriate table in Appendix A to answer this question.

The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 269 255 267 285 274 275 266 258 271 281 (a) Compute 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. 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.We are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values. 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.We are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values.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. (b) Give an interpretation of the 90% confidence level associated with the interval estimate in part (a). 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.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. 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.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.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. 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.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. 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.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.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. You may need to use the appropriate table in Appendix A to answer this question.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport.

269

255

267

285

274

275

266

258

271

281

(a)

Compute 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.

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.We are 90% confident that the mean airborne time for flights from San Francisco to Washington Dulles is between these two values. 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.We are 90% confident that the true mean airborne time for flights from Washington Dulles to San Francisco is between these two values.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.

(b)

Give an interpretation of the 90% confidence level associated with the interval estimate in part (a).

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.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. 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.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.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.

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.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. 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.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.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.

You may need to use the appropriate table in Appendix A to answer this question.

7.

[–/2 Points]DETAILSPODSTAT5 9.E.050.

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked how many months had passed since their last visit to a dentist. Their responses were as follows.

Assuming that these five students can be considered a random sample of all students participating in the free checkup program, construct a 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program. (Give the answer to two decimal places.)
( , )

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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