Latoya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Latoya has recorded the travel times for samples of nine trips via the 10 Freeway and nine trips via the 60 Freeway. The following table gives the travel times (in minutes) for the eighteen trips. Travel times in minutes 10 Freeway 71, 70, 69, 67, 71, 67, 70, 71,77 60 Freeway 76, 74, 78, 78, 68, 73, 75, 72, 72 Send data to calculator ✓ Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean travel time via the 10 freeway, is different from the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis and the alternative hypothesis ₁. H O P Ho :O H₁:0 x (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and (e) Can we conclude that μ₁, the mean travel time via the 10 freeway, is different from μ₂, the mean travel time via the 60 freeway? O Yes O No S O ?
Latoya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Latoya has recorded the travel times for samples of nine trips via the 10 Freeway and nine trips via the 60 Freeway. The following table gives the travel times (in minutes) for the eighteen trips. Travel times in minutes 10 Freeway 71, 70, 69, 67, 71, 67, 70, 71,77 60 Freeway 76, 74, 78, 78, 68, 73, 75, 72, 72 Send data to calculator ✓ Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean travel time via the 10 freeway, is different from the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis and the alternative hypothesis ₁. H O P Ho :O H₁:0 x (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and (e) Can we conclude that μ₁, the mean travel time via the 10 freeway, is different from μ₂, the mean travel time via the 60 freeway? O Yes O No S O ?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 44SE: Hector wants to place billboard advertisements throughout the county for his new business. How many...
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Transcribed Image Text:Latoya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In
order to determine which way she should travel on a daily basis, Latoya has recorded the travel times for samples of nine trips via the 10 Freeway and nine trips
via the 60 Freeway. The following table gives the travel times (in minutes) for the eighteen trips.
Travel times in minutes
10 Freeway 71, 70, 69, 67, 71, 67, 70, 71, 77
60 Freeway 76, 74, 78, 78, 68, 73, 75, 72, 72
Send data to calculator
Send data to Excel
Assume that the two populations of travel times are normally distributed and that the population variances are equal.
Can we conclude, at the 0.10 level of significance, that μ₁, the mean travel time via the 10 freeway, is different from μ2, the mean travel time via the 60
freeway?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Р
Ho :O
H₁:0
X
(b) Determine the type of test statistic to use.
(Choose one) ▼
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(c) Find the value of the test statistic. (Round to three or more decimal places.)
0*0
X
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
and
(e) Can we conclude that μ₁, the mean travel time via the 10 freeway, is different from μ₂, the mean
travel time via the 60 freeway?
O Yes O No
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a
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S
OSO 020
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Olo
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