MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the
mean of WaxWin is less than the mean of WaxCo.
In a random sample of 60 floors of WaxWin and 33 of WaxCo. WaxWin had a mean lifetime of 20.5 and
WaxCo had a mean lifetime of 20.6.
The population standard deviation for WaxWin is assumed to be 10.3 and the population standard deviation
for WaxCo is assumed to be 8.4.
Perform a hypothesis test using a significance level of 0.10 to help him decide.
Let WaxWin be sample 1 and WaxCo be sample 2.
The correct hypotheses are:
Ο Ηο: μι < με
HA: M1 M₂(claim)
Ο Ηο: με 2 με
HA1₂(claim)
O Ho: ₁ = 2
HA: M12(claim)
Since the level of significance is 0.10 the critical value is -1.282
(round to 3 places)
The test statistic is:
The p-value is:
(round to 3 places)
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Transcribed Image Text:A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 60 floors of WaxWin and 33 of WaxCo. WaxWin had a mean lifetime of 20.5 and WaxCo had a mean lifetime of 20.6. The population standard deviation for WaxWin is assumed to be 10.3 and the population standard deviation for WaxCo is assumed to be 8.4. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: M1 M₂(claim) Ο Ηο: με 2 με HA1₂(claim) O Ho: ₁ = 2 HA: M12(claim) Since the level of significance is 0.10 the critical value is -1.282 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
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