Question

Question 5(Multiple Choice Worth 2 points) (07.02 MC) An experiment was conducted to test the effect of a new stain remover. Twenty stains were treated with stain remover A and stain remover B for a week, then the number of stains removed was measured. A significance test was conducted at the a 0.10 level for the difference in the means of the number of stains removed between stain remover A and stain remover B. The test resulted in t = 1.37 and p 0.17 the alternative h po sis i question is :A ere A equal the mean number of stains removed with stain remover A and μΒ equals the mean number of stains removed with stain remover B, what conclusion can be drawn? There is a significant difference in the mean effectiveness of two stain removers. O There is sufficient evidence that stain remover A works better than stain remover B OThe proportion of stains that stain remover A removed is greater than the proportion of stains removed by stain remover B OThere is insufficient evidence that the proportion of stains removed by stain remover A and stain remover B is different. OThere is insufficient evidence that there is a difference in the mean effectiveness of stain remover A and the mean effectiveness of stain remover B.

Answer 1

We reject H₀ at 10% level of significance if P-value < 0.10

Here,

P-value = 0.17 > 0.10, so we fail to reject H₀ at 10% level of significance and we can conclude that :

ans-> There is insufficient evidence that there is a difference in the mean effectiveness of stain remover A and the mean effectiveness of stain remover B.