Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Debra is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Debra tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Puma Accume that th Eternal Send data to calculator V Distances (in thousands of km) 55.2, 55.6, 56.0, 52.6, 54.8, 53.3, 54.6, 53.3, 47.9, 54.2, 52.6, 58.6, 57.4, 57.0 48.0, 45.0, 43.4, 73.0, 52.7, 47.3, 45.1, 31.1, 39.1, 53.0, 63.0, 51.6, 56.6, 56.1, 52.0 Send data to Excel

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Debra is a buyer for a major shipping company and wants to determine if there is
any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced.
In the company's testing lab, Debra tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen
independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table.
Puma
Eternal
Send data to calculator
Distances (in thousands of km)
55.2, 55.6, 56.0, 52.6, 54.8, 53.3, 54.6, 53.3, 47.9, 54.2, 52.6, 58.6, 57.4, 57.0
48.0, 45.0, 43.4, 73.0, 52.7, 47.3, 45.1, 31.1, 39.1, 53.0, 63.0, 51.6, 56.6, 56.1, 52.0
Send data to Excel
Assume that the two populations of distances driven are approximately normally distributed. Can Debra conclude, at the 0.10 level of significance, that there
is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population
mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formular)
Esp
Transcribed Image Text:Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Debra is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Debra tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Puma Eternal Send data to calculator Distances (in thousands of km) 55.2, 55.6, 56.0, 52.6, 54.8, 53.3, 54.6, 53.3, 47.9, 54.2, 52.6, 58.6, 57.4, 57.0 48.0, 45.0, 43.4, 73.0, 52.7, 47.3, 45.1, 31.1, 39.1, 53.0, 63.0, 51.6, 56.6, 56.1, 52.0 Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Debra conclude, at the 0.10 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formular) Esp
(a) State the null hypothesis H and the alternate hypothesis H₁.
Ho :O
H₁ :0
(b) Determine the type of test statistic to use.
Chi-square
Degrees of freedom: 0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) At the 0.10 level of significance, can Debra conclude that there is a difference
between the mean distance (in thousands of km) driven on Puma tires before
they need to be replaced and the mean distance (in thousands of km) driven
on Eternal tires before they need to be replaced?
Yes No
3
1x
4
a
S
X
2
00
Р
<Q
0=0 OSO 020
S
00
0#0 0<0 0>0
Transcribed Image Text:(a) State the null hypothesis H and the alternate hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.10 level of significance, can Debra conclude that there is a difference between the mean distance (in thousands of km) driven on Puma tires before they need to be replaced and the mean distance (in thousands of km) driven on Eternal tires before they need to be replaced? Yes No 3 1x 4 a S X 2 00 Р <Q 0=0 OSO 020 S 00 0#0 0<0 0>0
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