Two kinds of column are being compared for strength. Sixteen pieces of column A and twelve pieces of column B are tested under similar conditions. Brand A has an average tensile strength of80 kilograms with a standard deviation of 6 kilograms, while brand B has an average tensile strengthof 70 kilograms with a standard deviation of 5 kilograms. Find a 99% confidence interval for thedifference between the population means, assuming that the populations are approximatelynormally distributed with equal variances. 3) Two kinds of column are being compared for strength. Sixteen pieces of column A and twelvepieces of column B are tested under similar conditions. Brand A has an average tensile strength of80 kilograms with a standard deviation of 6 kilograms, while brand B has an average tensile strengthof 70 kilograms with a standard deviation of 5 kilograms. Find a 99% confidence interval for thedifference between the population means, assuming that the populations are approximatelynormally distributed with equal variances.

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A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Two kinds of column are being compared for strength. Sixteen pieces of column A and twelve
pieces of column B are tested under similar conditions. Brand A has an average tensile strength of
80 kilograms with a standard deviation of 6 kilograms, while brand B has an average tensile strength
of 70 kilograms with a standard deviation of 5 kilograms. Find a 99% confidence interval for the
difference between the population means, assuming that the populations are approximately
normally distributed with equal variances.

Transcribed Image Text:3) Two kinds of column are being compared for strength. Sixteen pieces of column A and twelve pieces of column B are tested under similar conditions. Brand A has an average tensile strength of 80 kilograms with a standard deviation of 6 kilograms, while brand B has an average tensile strength of 70 kilograms with a standard deviation of 5 kilograms. Find a 99% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances.

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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