2. The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence in the interval given in the last question? Check only one. O The population mean is in this interval 95% of the time O The population mean is believed to be in the interval. The methodology used to find this interval is correct 95% of the time. O There is a 95% chance that the sample mean from any random sample is in the interval.
2. The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence in the interval given in the last question? Check only one. O The population mean is in this interval 95% of the time O The population mean is believed to be in the interval. The methodology used to find this interval is correct 95% of the time. O There is a 95% chance that the sample mean from any random sample is in the interval.
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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Transcribed Image Text:estimate from your bootstrap distribution in the previous step (show calculations).
Use the 95%
e. Is it plausible that there is no time savings from the flexible system?
confidence interval to answer. If so, explain why. If not, interpret the confidence interval.
Sections 3.1-3.4
ΜΑΤΗ 1342
Page 1 of 2
2. The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence
in the interval given in the last question? Check only one.
O The population mean is in this interval 95% of the time
O The population mean is believed to be in the interval. The methodology used to find this interval is
correct 95% of the time.
O There is a 95% chance that the sample mean from any random sample is in the interval.
3. 3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a
sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the
193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the
difference in proportions of male and female students who smoke.
a. What parameter(s) are we trying to estimate? Give correct notation and a brief written
description.
b. What is the best point estimate for the difference in the proportions of smokers? Use correct
notation and include the value.
c. Use Statkey to find a 99% bootstrap confidence interval using percentiles (attach screen shot with
your homework submission, and write the confidence interval here):
d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error
estimate from your bootstrap distribution in the previous step (show calculations).
e. Is it plausible that the proportions of male and female students who smoke is the same?
Use the 99% confidence interval to answer. If so, explain why. If not, interpret the confidence
interval.
Sections 3.1-3.4
МАТH 1342
Page 2 of 2
II

Transcribed Image Text:1. 3.92 Better Traffic Flow. The dataset TrafficFlow gives delay time in seconds for 24 simulation runs in
Dresden, Germany, comparing the current timed traffic light system on each run to a proposed flexible
traffic light system in which lights communicate traffic flow information to neighboring lights. Since this is
a matched pairs experiment, the variable Difference represents the time savings from the flexible system
(Fixed – Flexible) for each run of the simulation. We wish to estimate the average time savings for public
transportation on this stretch of road if the city of Dresden moves to the new system. Set this up as a single
mean because it comes from one quantitative variable.
What parameter are we estimating? Give correct notation and a brief written description.
a.
b. Answer these questions to establish the process of generating one bootstrap sample:
i. What sample size would you use for your bootstrap sample?
ii. Would you sample with or without replacement?
iii. What statistic would you record for this one bootstrap sample? Use correct notation:
c. Use Statkey to find a 90% bootstrap confidence interval for the mean time savings, using
percentiles. Use a few thousand samples. Attach a screen shot showing the percentiles with your
homework submission, and write the confidence interval here:
d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error
estimate from your bootstrap distribution in the previous step (show calculations).
e. Is it plausible that there is no time savings from the flexible system?
confidence interval to answer. If so, explain why. If not, interpret the confidence interval.
Use the 95%
Sections 3.1-3.4
MATH 1342
Page 1 of 2
2. The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence
in the interval given in the last question? Check only one.
O The population mean is in this interval 95% of the time
O The population mean is believed to be in the interval. The methodology used to find this interval is
correct 95% of the time.
O There is a 95% chance that the sample mean from any random sample is in the interval.
3. 3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a
sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the
193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the
difference in proportions of male and female students who smoke.
a. What parameter(s) are we trying to estimate? Give correct notation and a brief written
description.
b. What is the best point estimate for the difference in the proportions of smokers? Use correct
notation and include the value.
II
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