In: Statistics and Probability
Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known standard deviations of 0.010 liter and 0.015 liter, respectively. A random sample of n1 = 25 bottles from machine 1 and n2 = 20 bottles from machine 2 results in average net contents of = 2.04 liters and = 2.07 liters.
Test the hypothesis that both machines fill to the same net contents. What are your conclusions?
PLEASE USE MINITAB
Here in the MINITAB
in menu bar select STAT
-- Basic Statistics
-- 2- sample t
in that select summarized data
then enter the data as n1 = 25, n2 = 20
1 = 2.04, 2 =2.07
s1 = 0.01, s2=0.015
then select options in that make sure that confidence level is 95.0
Hypothesized difference is 0.0
alternative hypothesis should be
and select assume equal variances
the select ok and ok
we will get following output