(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 (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O

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determine the degrees of freedom if necessary

Tammy 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, Tammy has recorded the travel times for samples of thirteen trips via the 10 Freeway and
thirteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-six trips.
Travel times in minutes
10 Freeway 70, 72, 73, 72, 73, 74, 70, 71, 73, 70, 68, 72, 72
60 Freeway 69, 69, 79, 76, 72, 75, 72, 65, 74, 72, 72, 70, 75
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 u,, the mean travel time via the 10 freeway, is different from u,, 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.)
Transcribed Image Text:Tammy 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, Tammy has recorded the travel times for samples of thirteen trips via the 10 Freeway and thirteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-six trips. Travel times in minutes 10 Freeway 70, 72, 73, 72, 73, 74, 70, 71, 73, 70, 68, 72, 72 60 Freeway 69, 69, 79, 76, 72, 75, 72, 65, 74, 72, 72, 70, 75 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 u,, the mean travel time via the 10 freeway, is different from u,, 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
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O#0 O<O
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
I and I
(e) Can we conclude that u,, the mean travel time via the 10 freeway, is different from u,, the mean
travel time via the 60 freeway?
O Yes ONo
Transcribed Image Text:(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 (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O<O (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) I and I (e) Can we conclude that u,, the mean travel time via the 10 freeway, is different from u,, the mean travel time via the 60 freeway? O Yes ONo
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