Question

The active ingredient in antiseptic liquid bandages is 8-hydroxyquinoline (8h). This chemical can be harmful through simple skin contact, by swallowing, or inhalation. Suppose the list of ingredients on a 3M Nexcare liquid bandage indicates that the volume of 8h is 1%. A random sample of eight bottles of this product was obtained, and each was analyzed to obtain the volume of 8h. The sample mean was x = 1.027%. Assume the underlying population is normal and σ = 0.04. Is there any evidence to suggest that the true mean percentage of 8h is different from 1%? Use α = 0.01.

Calculate the test statistic. (Round your answer to two decimal places.)

z = __________________

Compute the p value. (Round your answer to four decimal places.)

_________________________

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 0.01

H_a : 0.01

Test statistic = z

= ( - ) /    / n

= (0.0127 - 0.01) / 0.04 / 8

Test statistic = 0.19

P-value = 0.8486