Mary has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Mary wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 13 of her trips via the San Bernardino Freeway and a random sample of 13 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Mary recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. S.B. Fwy Travel times in minutes 66, 69, 72, 67, 72, 80, 78, 65, 60, 70, 61, 61, 67 Pomona Fwy 65, 77, 80, 63, 60, 69, 76, 60, 75, 63, 78, 68, 80 Send data to calculator v Send data to Excel independent samples. O paired (dependent) samples X (a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer. S Sample mean Sample standard deviation O== = 0 01= 0 O It is unclear which test statistic to use. 68.3 70.3 X 6.2 (b) Mary wants to use the data to determine whether the mean travel time via the San Bernardino Freeway is less than the mean travel time via the Pomona Freeway. Assume that both populations are approximately normally distributed and that the population variances are equal. 7.6 Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
Mary has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Mary wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 13 of her trips via the San Bernardino Freeway and a random sample of 13 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Mary recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. S.B. Fwy Travel times in minutes 66, 69, 72, 67, 72, 80, 78, 65, 60, 70, 61, 61, 67 Pomona Fwy 65, 77, 80, 63, 60, 69, 76, 60, 75, 63, 78, 68, 80 Send data to calculator v Send data to Excel independent samples. O paired (dependent) samples X (a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer. S Sample mean Sample standard deviation O== = 0 01= 0 O It is unclear which test statistic to use. 68.3 70.3 X 6.2 (b) Mary wants to use the data to determine whether the mean travel time via the San Bernardino Freeway is less than the mean travel time via the Pomona Freeway. Assume that both populations are approximately normally distributed and that the population variances are equal. 7.6 Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
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:Mary has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the
Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Mary wants to determine if it is now faster to take the San Bernardino Freeway
than the Pomona Freeway. She selected a random sample of 13 of her trips via the San Bernardino Freeway and a random sample of 13 of her trips via the
Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the
trips via the Pomona Freeway. Mary recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample
means, and sample standard deviations.
S.B. Fwy
66, 69, 72, 67, 72, 80, 78, 65, 60, 70, 61, 61, 67
Pomona Fwy 65, 77, 80, 63, 60, 69, 76, 60, 75, 63, 78, 68, 80
Send data to calculator v
Travel times in minutes
O independent samples
Send data to Excel
O
(a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer.
paired (dependent) samples
=
X
0
-0
O It is unclear which test statistic to use.
0t=
3
Sample mean Sample standard deviation
(b) Mary wants to use the data to determine whether the mean travel time via the San Bernardino Freeway is less than the mean travel time via the
Pomona Freeway. Assume that both populations are approximately normally distributed and that the population variances are equal.
X
68.3
Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate
computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
70.3
$
6.2
7.6
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