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 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: O Ho:µ1 < H2 HA: H1 > H2(claim) O Ho:µ1 2 H2 HA: H1 < µ2(claim) O Ho:µ1 = µ2 HA: H1 + µ2(claim) Since the level of significance is 0.05 the critical value is -1.751 The test statistic is: |(round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is enough evidence to support the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to support the claim that the mean of WaxWin is less than the mean of WaxCo.
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 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: O Ho:µ1 < H2 HA: H1 > H2(claim) O Ho:µ1 2 H2 HA: H1 < µ2(claim) O Ho:µ1 = µ2 HA: H1 + µ2(claim) Since the level of significance is 0.05 the critical value is -1.751 The test statistic is: |(round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is enough evidence to support the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to support the claim that the mean of WaxWin is less than the mean of WaxCo.
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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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 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a
standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform
a hypothesis test using a significance level of 0.05 to help him decide.
Let WaxWin be sample 1 and WaxCo be sample 2
The correct hypotheses are:
O Ho: H1 < M2
HA: H1 > µ2(claim)
O Ho: µ1 2 H2
HA: H1 < µ2(claim)
O Ho: µ1 = µ2
HA: H1 7 M2(claim)
Since the level of significance is 0.05 the critical value is -1.751
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of
WaxCo.
O There is not enough evidence to reject the claim that the mean of WaxWin is less than the mean of
WaxCo.
O There is enough evidence to support the claim that the mean of WaxWin is less than the mean of
WaxCo.
O There is not enough evidence to support the claim that the mean of WaxWin is less than the mean of
WaxCo.
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