A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

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 14PPS
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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 not equal to the mean of WaxCo.
In a random sample of 12 floors of WaxWin and 20 of
WaxCo. WaxWin had a mean lifetime of 27.6 with a
standard deviation of 8.8 and WaxCo had a mean
lifetime of 20.3 with a standard deviation of 7.6.
Perform a hypothesis test using a significance level of
0.01 to help him decide.
Let WaxWin be sample 1 and WaxCo be sample 2
The correct hypotheses are:
HA: P1 > µ2(claim)
Ho: µ1 2 µ2
HA: µ1 < µ2(claim)
Ho: µ1 = µ2
HA: H1 + H2(claim)
Since the level of significance is 0.01 the critical value is 2.836 and -2.836
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
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 not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
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