Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Ann is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in th mean distance (in thousands of km) driven on them before they need to be replaced. E In the company's testing lab, Ann tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chose independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Ann conclude, at the 0.05 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 formulas.) (a) State the null hypothesis H, and the alternate hypothesis H₁. H₂ : O H₁0 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.05 level of significance, can Ann 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? OYes No 1 |x 5 0=0 D X S 2 0*0 O0
Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Ann is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in th mean distance (in thousands of km) driven on them before they need to be replaced. E In the company's testing lab, Ann tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chose independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Ann conclude, at the 0.05 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 formulas.) (a) State the null hypothesis H, and the alternate hypothesis H₁. H₂ : O H₁0 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.05 level of significance, can Ann 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? OYes No 1 |x 5 0=0 D X S 2 0*0 O0
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:Two popular brands of tires for tractor-trailers are the Puma and the ?
Eternal. Ann is a buyer for a major shipping company and wants to
determine if there is any difference between the two brands of tire in th
mean distance (in thousands of km) driven on them before they need to
be replaced.
E
In the company's testing lab, Ann tests a random sample of 14 Puma
tires and a random sample of 15 Eternal tires. (These samples are chose
independently.) For the Puma tires, the sample mean distance (in
thousands of km) until they would need be replaced is 54.71 with a
sample variance of 5.95. For the Eternal tires, the sample mean distance
(in km) until they would need to be replaced is 50.21 with a sample
variance of 37.75.
Assume that the two populations of distances driven are approximately
normally distributed. Can Ann conclude, at the 0.05 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 formulas.)
(a) State the null hypothesis Ho and the alternate hypothesis H₁.
Ho: O
(b) Determine the type of test statistic to use.
Degrees of freedom:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) At the 0.05 level of significance, can Ann 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?
OYes O No
H
X
0=0
0#0
X
a
S
00
OSO
O<O
Р
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S
00
020
O<O
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