A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is greater than the mean of WaxCo.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 greater than the mean of WaxCo.
In a random sample of 40 floors of WaxWin and 43 of WaxCo. WaxWin had a mean lifetime of 26.3 and
WaxCo had a mean lifetime of 28.
The population standard deviation for WaxWin is assumed to be 7.1 and the population standard deviation
for WaxCo is assumed to be 6.1.
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: 41 > H2(claim)
Ο H: μι μp
HA: H1 < µ2(claim)
O Ho: µ1 = 2
HA: μι μ (claim)
Since the level of significance is 0.05 the critical value is 1.645
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 greater than the mean of
WaxCo.
O There is not enough evidence to reject the claim that the mean of WaxWin is greater than the mean
of WaxCo.
O There is enough evidence to support the claim that the mean of WaxWin is greater than the mean of
WaxCo.
O There is not enough evidence to support the claim that the mean of WaxWin is greater than the
mean of WaxCo.
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 greater than the mean of WaxCo. In a random sample of 40 floors of WaxWin and 43 of WaxCo. WaxWin had a mean lifetime of 26.3 and WaxCo had a mean lifetime of 28. The population standard deviation for WaxWin is assumed to be 7.1 and the population standard deviation for WaxCo is assumed to be 6.1. 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: 41 > H2(claim) Ο H: μι μp HA: H1 < µ2(claim) O Ho: µ1 = 2 HA: μι μ (claim) Since the level of significance is 0.05 the critical value is 1.645 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 greater than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of WaxWin is greater than the mean of WaxCo. O There is enough evidence to support the claim that the mean of WaxWin is greater than the mean of WaxCo. O There is not enough evidence to support the claim that the mean of WaxWin is greater than the mean of WaxCo.
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