Building elements were measured in increasing order. The 26 measurements are given below, arranged in a table: 23 | 24 | 0374 | .9122 | .612 | .1233 | 113.5 | 124 | 474215 | 275375.75 | .8176 | .1/76 | 76.276 | .9/77 | .0/77 | 9/78.1 | 79.6 | 79.7/79.9/80 | 82.2 | 83.7 | 193.7 Test the hypothesis that strength is normally distributed with the following tests: (20 Points) a) Chi-Square test at 10% level of significance (with equal probability) b) R-S (Kolmogorov-Smirnov) test at 10% level of significance
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The mean is calculated by adding up all the values and dividing by the total number of values: mean = (23 + 24 + 0.374 + 9.122 + 6.612 + 1.123 + 3.513 + 4.124 + 7.421 + 5.275 + 3.75 + 0.8176 + 0.7676 + 76.276 + 9.777 + 0.777 + 9.678 + 79.6 + 79.7 + 79.9 + 80.82 Show more…
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8-37. The compressive strength of concrete is being tested by a civil engineer. He tests 12 specimens and obtains the following data. 2216 2237 2249 2204 2225 2301 2281 2263 2318 2255 2275 2295 (a) Check the assumption that compressive strength is normally distributed. Include a graphical display in your answer. (b) Construct a 95% two-sided confidence interval on the mean strength. (c) Construct a 95% lower confidence bound on the mean strength. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.
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