|(a) State the null hypothesis H and the alternative hypothesis H,. H : H :0 |(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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Carry your Intermedlate computations to three or more decimal places and round your answers as speCITied in the table. (Ir necessary, consult a list or
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H, :
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that u, the mean travel time via the 10 freeway, is
different from , the mean travel time via the 60 freeway?
O Yes
No
Transcribed Image Text:Carry your Intermedlate computations to three or more decimal places and round your answers as speCITied in the table. (Ir necessary, consult a list or formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, : H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that u, the mean travel time via the 10 freeway, is different from , the mean travel time via the 60 freeway? O Yes No
Maya 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, Maya has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven
trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips.
Travel times in minutes
10 Freeway 74, 72, 75, 75, 74, 72, 67, 67, 75, 69, 71
60 Freeway 70, 80, 69, 71, 69, 77, 68, 79, 74, 79, 77
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 0.05 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ,, 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 H, and the alternative hypothesis H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
olo
Transcribed Image Text:Maya 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, Maya has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips. Travel times in minutes 10 Freeway 74, 72, 75, 75, 74, 72, 67, 67, 75, 69, 71 60 Freeway 70, 80, 69, 71, 69, 77, 68, 79, 74, 79, 77 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 0.05 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ,, 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 H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO olo
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