Airplane tires are sensitive to the heat produced when the plane taxis along runways. A certain type of airplane tire used by Boeing is guaranteed to perform well at temperatures as high as 125°F....

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Airplane tires are sensitive to the heat produced when the plane taxis along runways. A certain type of airplane tire used by Boeing is guaranteed to perform well at temperatures as high as 125°F. From time to time, Boeing performs quality control checks to determine whether the average maximum temperature for adequate performance is as stated, or whether the average maximum temperature is lower than 125°F, in which case the company must replace all tires. Suppose that a random sample of 100 tires is checked. The average maximum temperature for adequate performance in the sample is found to be 121°F and the sample standard deviation 2°F. Conduct the hypothesis test, and conclude whether the company should take action to replace its tires




Answered Same DayDec 25, 2021

Answer To: Airplane tires are sensitive to the heat produced when the plane taxis along runways. A certain type...

Robert answered on Dec 25 2021
125 Votes
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Test: µ < 125 with normal distn
Hypothesis test:
H0 :
µ ≥ 125 (Null Hypothesis, H0 : µ = 125 is also correct)
Ha : µ < 125 (Alternative Hypothesis, also called H1)
This is lower tailed test.
Since sample size is large, sample standard deviation can be taken as an approx-
imation of population standard deviation.
x = 121
σ = 2
n = 100
Significance Level, α = 0.05 (If no value is given, we take level of 0.05)
Test statistic z? = x− µ
σ/

n
121− 125
2/

100
= −20.00
Test Statistic, z? = −20.00
P-value Approach
P-value is in...
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