Questions asked
b) Compute the indicated product of the following cycles that are permutations of \( \{1,2,3,4,5,6,7,8\} \). (i) \( \quad(1,4,5,6,8)(2,1,5,7) \) (2 marks) (ii) \( \quad(2,1,5,7)(1,4,5,6,8) \) (2 marks)
Let \( G=\{(p, q) \mid p, q \in \mathbb{R} \) and \( p \neq 0\} \). Show that \( G \) is a group over binary operation * which is defined as follows: \[ (p, q) \cdot(r, s)=(p r, q r+s) \text {. } \]
Compute the indicated product of the following cycles that are permutations of {1, 2, 3, 4, 5, 6,7, 8}.
Brian Beasley
Numerade educator
Compute the indicated product of the following cycles that are permutations of { 1,2,3,4,5,6,8} i) (1,4,5,6,8) (2,1,5,7)
4. Given that ( A={1,2,3,4,5,6} ). Determine whether each of the following subset of ( A ) is a partition of ( A ). a) ( P_{1}={{1,2}{3,4},{5,6}} ) b) ( P_{2}={{1,2}{3,4,5},{6}} ) c) ( P_{3}={{1,2,3},{2,3,4},{5,6}} )
Shu Naito
QUESTION 2 The tensile strength of a material is the maximum amount of tensile stress that it can take before breaking. The following data have been collected to determine the tensile strength of a material (lb/in²) using four different mixing methods. Method 1 | Method 2 | Method 3 | Method 4 2865 | 2975 | 2800 | 2600 2890 | 3150 | 2900 | 2600 3000 | 3200 | 2985 | 2700 3129 | 3300 | 3050 | 2765 a) Perform an analysis of variance for the data. Use ?= 0.05. b) Use the Fisher LSD method with ?=0.05 to make comparisons between pairs of means. c) Plot the residuals versus mixing methods. Comment on the plot.
Taha T
There are two motors are used for filling drinking bottles with a net volume of 15.0 ounces. The filling processes can be assumed to be normal, with standard deviation of ?? = 0.015 and ?? = 0.018. The quality control suspects that both motors fill to the same net volume, whether or not this volume is 15.0 ounces. An experiment is performed by taking a random sample from the output of each motor as follows: Motor 1: 15.99, 16.02, 15.98, 15.96, 16.01, 16.03, 16.04, 16.05, 16.05, 16.02 Motor 2: 16.00, 16.01, 16.02, 16.04, 16.03, 15.99, 16.01, 15.96, 15.97, 16.02 a) Test the hypotheses for this experiment using ?=0.05. b) Determine 95 percent confidence interval on the difference in the mean fill volume for the two motors.
