Decision: - Conclusion: Clarion Paper Company makes various types of paper produ

Question

Decision:

- Conclusion:

Clarion Paper Company makes various types of paper products. One of their products is a 30 mils thick paper. In order to ensure that the thickness of the paper meets the 30 mils specification, random cuts of paper are selected and the thickness of each cut is measured. A sample of 26 cuts had a mean thickness of 30.9 mils with standard deviation of S = 4 mils. Assuming the 30 mils thick paper population is normally distributed with unknown as standard deviation sigma. Perform a hypothesis test to determine if the average thickness of this particular paper product meets the 30 mils specification. Use alpha = 0.05 to test the hypothesis. I -Hypotheses: II - Calculations Test Statistics: p-value: Critical Value:

Explanation / Answer

I Hypothesis :

Null HYpothesis : H0 : = 30 mils thick paper

Alternative Hypothesis : Ha : 30 mils thick paper

II calculations

Test statistics

t = (xbar - H)/ (s/n)

where xbar = 30.9 mils

H = 30 mils

n = 26

s = 4mils

so,

t = (30.9 - 30)/ (4/26) = 0.9/ 0.7845 = 1.1472

p - value = 0.1311

Critical value for dF = 25 and alpha = 0.05 for two directional test = 2.060

III Decision

Here we should not reject the null hypothesis and can conclude that the paper size is equal to 30 mils.

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