Example for One Sample t Test (Two Sides)

A manufacturer of a product filling machine beverage bottles, claims that the average machine-made filling beverage bottles of 100 ml per bottle. To assure this, the company that bought the machine re-tested by measuring the contents of the bottle that has been filled by the machine. The results obtained from measurements of the sample are as follows:

101, 99, 104, 103, 102, 100, 98, 101, 101, 100, 99, 97, 98, 100, 105, 101, 103, 104, 96, 97

Level of confidence (1-) used in testing is 95%.

Solution:

From the data can be obtained:
= 100 (average claimed by the engine company)
= 100,45 (average sample measurement results)
s = 1,627998 (standard deviation of the sample)
n = 20 (number of the sample)
v = 19 (degrees of freedom= n-1)
= 0,05 (level of significance)

Hypothesis:

Statistical Test:


t = 1,236

Decision Making:
With level of significance () 0,05 then )/2 is 0,025 and degrees of freedom v = 19, so from t distribution table obtained - dan are -2,093 and 2,093. If compared with the t count, then t count is between those numbers, so that Ho received. Therefore, a decision that can be taken with 95% confidence level, test results are not significantly different from what was claimed by the manufacturer of bottle filling machine.

Similar Posts:

• One sample t test (Two Sides)
• Solution for Data are not Normally Distributed
• t-Student Distribution Statistics Table
• Confidence
• Competition Make Life Better