A researcher collected data on the drying times (in minutes) of four types of wall paint: matte, satin, semi-gloss, and gloss. The data were collected under controlled temperature and humidity conditions. The drying times (in minutes) are listed below:Matte: 38,41,43,39,4038, 41, 43, 39, 40Satin: 44,47,45,46,4344, 47, 45, 46, 43Semi-gloss: 50,49,51,48,5250, 49, 51, 48, 52Gloss: 42,40,41,43,4442, 40, 41, 43, 44At the 0.050.05 significance level, use the Kruskal-Wallis test to determine whether there is a significant difference in the median drying times among the four paint types.

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Problem 18Multiple Choice

A researcher collected data on the drying times (in minutes) of four types of wall paint: matte, satin, semi-gloss, and gloss. The data were collected under controlled temperature and humidity conditions. The drying times (in minutes) are listed below:
Matte: $38 comma 41 comma 43 comma 39 comma 40$
Satin: $44 comma 47 comma 45 comma 46 comma 43$
Semi-gloss: $50 comma 49 comma 51 comma 48 comma 52$
Gloss: $42 comma 40 comma 41 comma 43 comma 44$
At the $0.05$ significance level, use the Kruskal-Wallis test to determine whether there is a significant difference in the median drying times among the four paint types.

There is sufficient evidence to conclude that at least one paint type has a different median drying time.

All paint types have the same drying time based on the Kruskal-Wallis test.

The mean drying times of all paint types are significantly different.

There is no difference in drying time variability among the paint types.

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