Question

A company claims that its detergent 'KleenGlo' keeps your surfaces clean for an average of 20 hours, and you do not believe that it lasts this long. You want to perform a test of significance on the mean with a significance of 0.01, so you buy 15 bottles of KleenGlo and find that the mean number of hours those bottles keep a surface clean for is 16 hours with a standard deviation of 6 hours.

1.)What is the hypothesized mean ?0 ?

2.)Which would you choose as your alternative hypothesis?

?>?0

?<?0

?=?0

3.) What is the value of your test statistic ? (as given by the formula)? Round your answer to 2 decimal places.

4.) According to Table C: t Distribution Table, into which interval does your P-value fall? .

05<.10

.001<.0025

.01<.02

5.) What can you conclude?

You have evidence that KleenGlo does not keep surfaces clean as long as 20 hours.

You do not have evidence that KleenGlo does not keep surfaces clean as long as 20 hours.

Answer 1

P values = 0.0109

0.01 < pvalue < 0.02

Conclusion :You do not have evidence that KleenGlo does not keep surfaces clean as long as 20 hours.

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