a) Test the residence time normality hypothesis using the Shapiro Wilk test at the 1% significance level. (8 points)
b) We want to test the research hypothesis that the average residence time is greater than 39 days. (6 points)
i) Specify the statistical hypotheses to be subjected to the hypothesis test.
ii) Which hypothesis is favored at the 10% significance level?
c) What is the p-value of the statistical test? (2 points)
d) Determine a 90% confidence interval for the variance of the residence time. What fundamental assumption is required to determine this confidence interval? (6 dots)
> 4 ili C il 트 Alignement IS с D E E Rang Valeurs ordonnées II A B Question 5 al Test de normalité Temps de tout 30,50 38,50 40,00 42,25 44,50 47,33 44,50 31,50 48.00 37,50 42,00 35,00 53,75 43,50 23.00 50.50 33,00 48,00 49,50 37,00 46,00 33.50 42,00 ಟ ಟಿ ಎ & ಜಿ ಈ ವ ಈ ಈ ದ ದ ದ + ಅ = 0, 4, ಡಾ ಟ ಟ - 2 20 21 22 23 Question 1 Question 3 Feuil 1 Questi L
a) Test the residence time normality hypothesis using the Shapiro Wilk test at the 1% significance level. (8 points) b)
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