Question

Ted wanted to determine if one brand of paper towels​ (Brand A) was stronger than another brand​ (Brand B). He performed a study where he randomly selected 25 sheets from each of the two​ brands, placed each sheet in an embroidery hoop​ (and tightened the​ hoop), placed 30 drops of water on each paper​ towel, and placed weights on each sheet until the sheet broke. He recorded the maximum weight on the paper towel before it broke. Which of the following statements is​ correct?

A) A​ two-tail test will be performed since the alternative hypothesis contains a​ "less than"
B) A​ one-tail test will be performed since the alternative hypothesis contains a​ "not equal​ to".
C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".
D) A​ two-tail test will be performed since the null hypothesis contains a​ "not equal​ to"
E) A​ two-tail test will be performed since the alternative hypothesis contains a​ "not equal​ to".

Answer 1

C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".

Explanation:

Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..

For the scenario given : we are to test the claim that one is stronger than the other ;

For this knid if test it has been stated explicitly that one is greater than another ;

H0 : μ = μ

H0 : μ < μ