Question
A school system is concerned about how often they must replace the kick balls for the elementary school gymnasiums. They are interested in switching to
A school system is concerned about how often they must replace the kick balls for the elementary school gymnasiums. They are interested in switching to either GoFit kick balls or Sports Factor kick balls. The school purchaser decided to select the brand of ball that would bounce the highest when dropped from 3 feet. The data below was collected by dropping either a GoFit kick ball or a Sports Factor kick ball from 3 feet and measuring the bounce in inches. Each brand's bounce was measured 10 times. One of the gym teachers in the school system claims that the GoFit kick balls will bounce higher. Test that claim using a 0.10 level of significance. Let GoFit kick balls be Population 1 and let Sports Factor kick balls be Population 2. Assume that both populations are approximately normal and that the population variances are not equal since they are different brands.
GoFit | 30 | 32 | 30 | 31 | 32 | 29 | 29 | 30 | 32 | 32 |
---|---|---|---|---|---|---|---|---|---|---|
Sports Factor | 30 | 29 | 29 | 32 | 28 | 29 | 30 | 28 | 31 | 28 |
Step3of3:
Draw a conclusion and interpret the decision.
Answer
A.) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the teacher's claim that GoFit kick balls bounce higher.
B.) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significanceto support the teacher's claim that GoFit kick balls bounce higher.
C.) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support the teacher's claim that GoFit kick balls bounce higher.
D.) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the teacher's claim that GoFit kick balls bounce higher.
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