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Calculate the determinant of a 4x4 matrix.
Published on November 12, 2024
Linear-Algebra
The determinant of the given 4x4 matrix is calculated using cofactor expansion along the fourth row, resulting in a determinant of -21.
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Published on November 12, 2024
The determinant of the given 4x4 matrix is calculated using cofactor expansion along the fourth row, resulting in a determinant of -21.
The 95% confidence interval for the population mean is [66.04, 69.96], calculated using a sample mean of 68, a known variance of 22, and a sample size of 22. The minimum sample size needed to achieve a maximum confidence interval width of 1 is 338.
The 95% confidence interval for the population mean is approximately [13.984, 14.416]
The provided text details step-by-step calculations for confidence intervals of means and variances, along with sample size determination, under different scenarios (known and unknown population standard deviation). The solutions involve using z-scores, t-scores, and chi-squared values to construct intervals for population parameters.
The 99% confidence interval for the population mean length of steel sheets is [35.71, 38.29] cm.