The thickness of eight pads designed for use in aircraft engine mounds were meas
ID: 3159868 • Letter: T
Question
The thickness of eight pads designed for use in aircraft engine mounds were measured. The results, in mm, were
(1 point) The thickness of eight pads designed for use in aircraft engine mounds were measured. The results, in mm, were r 40.81 41.18 40.61 41.74 41.93 41.29 41.28 41.55 Using = 0.01, can you conclude that the mean thickness is greater than 41 by computing the following: (a) the degree of freedom (b) the critical t value (c) the test statistics The final conclusion is OA. We reject the null hypothesis. B. There is not sufficient evidence to reject the null hypothesis. Our results provide that there is evidence that the mean thickness is not greater than 41.Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u <= 41
Ha: u > 41
As we can see, this is a right tailed test.
a)
df = n - 1 = 8-1 = 7 [ANSWER]
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b)
Thus, getting the critical t, by table/technology,
tcrit = + 2.997951567 [ANSWER]
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c)
Getting the test statistic, as
X = sample mean = 41.29875
uo = hypothesized mean = 41
n = sample size = 8
s = standard deviation = 0.444664802
Thus, t = (X - uo) * sqrt(n) / s = 1.900291187 [ANSWER, TEST STATISTIC]
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As t < 2.998, we FAIL TO REJECT THE NULL HYPOTHESIS. [OPTION B]
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