Charmaine 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 to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 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. Charmaine 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 79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74 Travel times in minutes Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75, 65, 71, 77, 71 Send data to calculator 1Z= Ot= 0 (a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer. O independent samples O paired (dependent) samples X Sample mean Sample standard deviation 71.1 S 72.1 eeway is less than the mean travel time via the (b) Charmaine wants to use the data to determine whether the mean travel time via the San Bernar Pomona Freeway. Assume that both populations are approximately normally distributed and that the population variances are equal. 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.) 5.7 5.4
Charmaine 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 to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 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. Charmaine 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 79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74 Travel times in minutes Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75, 65, 71, 77, 71 Send data to calculator 1Z= Ot= 0 (a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer. O independent samples O paired (dependent) samples X Sample mean Sample standard deviation 71.1 S 72.1 eeway is less than the mean travel time via the (b) Charmaine wants to use the data to determine whether the mean travel time via the San Bernar Pomona Freeway. Assume that both populations are approximately normally distributed and that the population variances are equal. 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.) 5.7 5.4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Send data to calculator
(a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer.
independent samples
paired (dependent) samples
(b) Charmaine 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.
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.)
Oz= 0
Ot= 0
It is unclear which test statistic to use.
Explanation
Check
X
3
S
$
4
X
AAABBBBBB
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5
6
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Transcribed Image Text:Determining whether two samples are independent or paired a...
Charmaine 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, Charmaine wants to determine if it is now faster to take the San
Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 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. Charmaine 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
79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74
Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75, 65, 71, 77, 71
Send data to calculator
O independent samples
O paired (dependent) samples
Travel times in minutes
(a) Are the two samples of trips independent or paired (dependent) samples? Choose the best answer.
(z=
Explanation
t = 0
X
Check
Sample mean Sample standard deviation
S
71.1
(b) Charmaine 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.
72.1
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.)
MacBook Pro
5.7
5.4
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