he cars at the time of replacement were (in months): 25 48 47 48 53 46 30 51 42 52 A USE SALT ) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.) -44.2 -9.4257 v months V months i) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Họ: H = 48; Hị: H< 48 O Ho: H = 48; H: H > 48 O Họ: p = 48; H: p< 48 O Họ: H= 48; H: u 48 O Ho: p = 48; H;: p + 48 O Ho: P = 48; H: p > 48 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic? (Round your answer to three decimal places.) -1.28
he cars at the time of replacement were (in months): 25 48 47 48 53 46 30 51 42 52 A USE SALT ) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.) -44.2 -9.4257 v months V months i) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Họ: H = 48; Hị: H< 48 O Ho: H = 48; H: H > 48 O Họ: p = 48; H: p< 48 O Họ: H= 48; H: u 48 O Ho: p = 48; H;: p + 48 O Ho: P = 48; H: p > 48 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic? (Round your answer to three decimal places.) -1.28
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the value of the sample test statistic? (Round your answer to three decimal places.)
Transcribed Image Text:The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of
the cars at the time of replacement were (in months):
25 48 47
48
53 46
30 51 42
52
In USE SALT
(i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.)
X = 44.2
months
s = 9.4257
months
(ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance.
What are we testing in this problem?
O single proportion
O single mean
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
О Но: и %3D 48%;B Hі: и < 48
Ο H: μ = 48; H1: μ > 48
Ho: p = 48; H1: p < 48
Ο Hρ: μ=48; H1: μ+ 48
О Но: р %3D 48; Hi: р# 48
Ho: p = 48; H1: p > 48
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t, since we assume that x has a normal distribution with unknown o.
O The standard normal, since we assume that x has a normal distribution with known o.
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since we assume that x has a normal distribution with known o.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
|-1.28
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