57. The sleeping time of twelve year-old children is studied. On a sample of size n...

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57. The sleeping time of twelve year-old children is studied. On a sample of size n = the sleeping times (expressed in hours) have been recorded. The following values are 50 given: Σα 424 and Ex? 3828, with the following distribution in classes. Class < 8 ]8 ; 9]| ]9; 10] > 10 Number 19 12 9. 10 1. It is generally considered that the sleeping time of a 12 year old child follows a N(9, 3) distribution. Apply the adjustment test of the observed distribution with the theoretical one. Give the value taken by the test statistic, an interval for the p-value and your conclusion. 2. Find the empirical mean I and variance s2. Answer the previous question again, replacing the N(9, 3) distribution by N(7, s2). 57. The sleeping time of twelve year-old children is studied. On a sample of size n = the sleeping times (expressed in hours) have been recorded. The following values are 50 given: Σα 424 and Ex? 3828, with the following distribution in classes. Class < 8 ]8 ; 9]| ]9; 10] > 10 Number 19 12 9. 10 1. It is generally considered that the sleeping time of a 12 year old child follows a N(9, 3) distribution. Apply the adjustment test of the observed distribution with the theoretical one. Give the value taken by the test statistic, an interval for the p-value and your conclusion. 2. Find the empirical mean I and variance s2. Answer the previous question again, replacing the N(9, 3) distribution by N(7, s2).