A manufacturer of carbonated drink products produces and sells drinks. The manufacturer takes an observation to determine the sugar content of the drink before and after the addition of the colouring. The results of ten carbonated drinks are as follows. Before 0.50 After 0.79 0.58 0.71 0.75 1.22 0.79 1.17 1.14 0.73 0.90 1.25 0.74 0.80 0.82 0.72 0.82 0.77 0.72 0.91 Assume that the sugar content is normally distributed. a) Find the mean and standard deviation for the difference between sugar content before and after the addition of the colouring. b) At 5% level of significance, test if there is a significant difference between the mean of sugar content before and after the addition of the colouring. c) Construct a 95% confidence interval for the mean difference in sugar content before and after the addition of the colouring. Interpret the interval obtained.
A manufacturer of carbonated drink products produces and sells drinks. The manufacturer takes an observation to determine the sugar content of the drink before and after the addition of the colouring. The results of ten carbonated drinks are as follows. Before 0.50 After 0.79 0.58 0.71 0.75 1.22 0.79 1.17 1.14 0.73 0.90 1.25 0.74 0.80 0.82 0.72 0.82 0.77 0.72 0.91 Assume that the sugar content is normally distributed. a) Find the mean and standard deviation for the difference between sugar content before and after the addition of the colouring. b) At 5% level of significance, test if there is a significant difference between the mean of sugar content before and after the addition of the colouring. c) Construct a 95% confidence interval for the mean difference in sugar content before and after the addition of the colouring. Interpret the interval obtained.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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