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

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Statistics

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 1Line 2
sample size100100
mean33.935.8
Standard Deviation5.835.92

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.

Answer & Explanation Solved by verified expert
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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