Answered: appropriate than the z-curve in this…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 37E: Find the positive geometric mean between 4 and 64.

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Question

The following observations were made on fracture toughness of base plate of 18% nickel maraging steel in
ksi in . Answer the problems assuming that the test results from this study is normally distributed.

1) Explain why the t-curve is more appropriate than the z-curve in this case.
◼ 2.2. Based upon this study, find the 95% confidence interval of the mean fracture toughness.
◼ 2.3. Find the 99% lower confidence bound.

69.5 |71.9 | 72.6 | 73.1 | 73.3 73.5 |75.5 75.7 75.8 | 76.1 | 76.2 Mean
76.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7 77.33 5.037
SD

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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