The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in following table: Table: Traffic Count Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263 Let μ1 = mean traffic count on Friday the 6th. Let μ2 = mean traffic count on Friday the 13th. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. (vii) Determine confidence interval of the mean difference μd Enter lower bound value to nearest tenth, followed by < , followed by "μd" for mean difference, followed by <, followed by upper bound value to nearest tenth. No spaces between any characters. Use "negative" sign if necessary. Do not use italics or enter units of measure. Examples of correctly entered answers: 0.74<μd<0.78 13.14<μd<13.96 -9.72<μd<-8.08 (viii) Using the confidence interval, select the correct description of the result of the survey: A. We estimate with 90% confidence that the true population mean traffic count between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. B. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6th and Friday the 13th falls outside 1154.1 and 2517.5. C. We estimate with 90% confidence that the true sample mean traffic counts between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. D. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. Enter letter corresponding to most correct answer

The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in following table: Table: Traffic Count Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263 Let μ1 = mean traffic count on Friday the 6th. Let μ2 = mean traffic count on Friday the 13th. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. (vii) Determine confidence interval of the mean difference μd Enter lower bound value to nearest tenth, followed by < , followed by "μd" for mean difference, followed by <, followed by upper bound value to nearest tenth. No spaces between any characters. Use "negative" sign if necessary. Do not use italics or enter units of measure. Examples of correctly entered answers: 0.74<μd<0.78 13.14<μd<13.96 -9.72<μd<-8.08 (viii) Using the confidence interval, select the correct description of the result of the survey: A. We estimate with 90% confidence that the true population mean traffic count between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. B. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6th and Friday the 13th falls outside 1154.1 and 2517.5. C. We estimate with 90% confidence that the true sample mean traffic counts between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. D. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6th and Friday the 13th is between 1154.1 and 2517.5. Enter letter corresponding to most correct answer

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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Q4C

The British Department of Transportation studied to see if people avoid driving on Friday the 13^th. They did a traffic count on a Friday and then again on a Friday the 13^th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in following table:

Table: Traffic Count

Dates	6th	13th
1990, July	139246	138548
1990, July	134012	132908
1991, September	137055	136018
1991, September	133732	131843
1991, December	123552	121641
1991, December	121139	118723
1992, March	128293	125532
1992, March	124631	120249
1992, November	124609	122770
1992, November	117584	117263

Let μ₁ = mean traffic count on Friday the 6th. Let μ₂ = mean traffic count on Friday the 13th. Estimate the mean difference in traffic count between the 6^th and the 13^th using a 90% level.

(vii) Determine confidence interval of the mean difference μ_d

Enter lower bound value to nearest tenth, followed by < , followed by "μd" for mean difference, followed by <, followed by upper bound value to nearest tenth. No spaces between any characters. Use "negative" sign if necessary. Do not use italics or enter units of measure. Examples of correctly entered answers:

0.74<μd<0.78

13.14<μd<13.96

-9.72<μd<-8.08

(viii) Using the confidence interval, select the correct description of the result of the survey:

A. We estimate with 90% confidence that the true population mean traffic count between Friday the 6^th and Friday the 13th is between 1154.1 and 2517.5.

B. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6^th and Friday the 13th falls outside 1154.1 and 2517.5.

C. We estimate with 90% confidence that the true sample mean traffic counts between Friday the 6^th and Friday the 13th is between 1154.1 and 2517.5.

D. We estimate with 90% confidence that the true mean difference in traffic counts between Friday the 6^th and Friday the 13th is between 1154.1 and 2517.5.

Enter letter corresponding to most correct answer

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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