Britto is testing a new filter for their water purifier. Initial samples were co

Question

Britto is testing a new filter for their water purifier. Initial samples were collected from before the filter was utilized to purify the water. A second set of samples was collected after the water purified. Out of the 13 samples from the unpurified water had an average particulate content of 24.17% and a standard deviation of 3.24%. Ten samples of purified water were taken and had an average particulate content of 18.48% and a standard deviation of 1.84%.

a) Conduct a hypothesis test to determine if the population variances differ. Use a=0.05

b) Based on part (a) conduct the appropriate hypothesis test to determine if the mean particulates of the two populations differ. Use a=0.05

Explanation / Answer

a)

Test and CI for Two Variances

Method

Descriptive Statistics

Ratio of Standard Deviations

Test

since p-value = 0.097 > 0.05

we fail to reject the null and conclude that there is no significanr evidence that the population variances differ.

b)

Two-Sample T-Test and CI

Method

Equal variances are assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

since p-value = 0.000 < 0.05

hence we reject the null nad conclude that there is

significanr evidence that mean particulates of the two populations differ

: standard deviation of Sample 1 : standard deviation of Sample 2 Ratio: / F method was used. This method is accurate for normal data only.

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