The accompanying data on crack initiation depth (μm) includes 16 observations, as shown in 2. Assuming crack initiation depth follows normal distribution, answer the following questions. (a) Compute the sample mean and the sample standard deviation of the data set. (b) Estimate the true average crack initiation depth with a 99% two-sided CI and interpret the resulting interval. show major works and steps

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The accompanying data on crack initiation depth (μm) includes 16 observations, as shown in 2. Assuming crack initiation depth follows normal distribution, answer the following questions.

(a) Compute the sample mean and the sample standard deviation of the data set.

(b) Estimate the true average crack initiation depth with a 99% two-sided CI and interpret the resulting interval.

show major works and steps 

Table 2: The accompanying sample observations in Problem 3
4.9 5.2 5.3| 5.6 | 5.8
7.2 7.4| 7.7 | 8.5 | 8.9 | 9.3
6.3
6.7
10.8
4.1
11.6
Transcribed Image Text:Table 2: The accompanying sample observations in Problem 3 4.9 5.2 5.3| 5.6 | 5.8 7.2 7.4| 7.7 | 8.5 | 8.9 | 9.3 6.3 6.7 10.8 4.1 11.6
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