Analysis of the tensile strength of 100 samples of a new polymeric material, obtained from each...

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Analysis of the tensile strength of 100 samples of a newpolymeric material, obtained from each of the two production linesof a company gave the following mean and standard deviation values(in MPa)
Line 1 Line 2
sample size 100 100
mean 33.9 35.8
Standard Deviation 5.83 5.92
a. Use 5 % significant level can it be concluded that there isno difference in the tensile strength of the products obtained fromthe two production lines?
b. Using 95% confidence interval, estimate the difference in themean strength of the polymers produced in the two productionlines
c. The quality control engineer will only be concerned if thereis a difference of more than 5 MPa in the products produced in thetwo lines. Based on your confidence interval in (b), is thestatistical significance obtain in question (a) of practicalsignificance to the Quality Control Engineer? Explain.

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3.8 Ratings (699 Votes)

a The null and alternative hypothesisTest statisticwhere 58752Thus 229df n1n22 1001002 198For 005with df 198 two tailed critical value of t istc 197 from t tableSince calculated I See Answer

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	Line 1	Line 2
sample size	100	100
mean	33.9	35.8
Standard Deviation	5.83	5.92