MATH SOLVE

3 months ago

Q:
# The average assembly time for a Ford Taurus is μ = 38 hrs. An engineer suggests that using a new adhesive to attach moldings will speed up the assembly process. The new adhesive was used for one month. During that month, the average assembly time for 36 cars was = 37.5 hours with a standard deviation s = 1.2 hours. Use α = 0.01. Based on the calculated P-value will you reject or fail to reject the null hypothesis? Select one: a. reject the null hypothesis / data is significant b. fail to reject the null hypothesis c. cannot be determined

Accepted Solution

A:

Answer:a) reject null hypothesis since p < 0.01Step-by-step explanation:Given that the average assembly time for a Ford Taurus is [tex]μ = 38 hrs[/tex]Sample size [tex]n=36[/tex][tex]x bar = 37.5\\s=1.2\\SE = 1.2/6 = 0.2[/tex]Test statistic t = mean diff/se = 0.5/0.2 = 2.5(Here population std dev not known hence t test is used)df = 35p value = 0.008703a) reject null hypothesis since p < 0.01