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Homework 4 Compare the decrease in luminous flux 30 seconds after switching on when the ambient temperature decreases from 22 °C to 5 °C for fluorescent lamps of all of the manufacturers. a) Using the Shapiro-Wilk normality test at a significance level of 5%, decide if the data can be assumed to follow the normal distribution. b) Compute 95% confidence intervals of the mean value/median (with respect to the quality of data). Use the same method for all of the manufacturers. c) At a significance level of 5% decide if the variances of the luminous flux decrease among all of the manufacturers can be assumed to be the same, ie if the data is homoskedastic. d) among some At the 5% significance level, decide if the difference in luminous flux decrease (mean values/medians) all of the manufacturers is statistically significant. If so, find out whether groups of manufacturers can be marked (in terms of the luminous flux decrease) as homogeneous, ie determine the order of manufacturers according to mean values (or medians) of luminous flux decrease. Keep in mind the requirements of the tests.
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