本次代写是一个R语言统计的限时测试

**Writing instructions**

For each exercise, you will specify:

_ the random variable(s) introduced ;

_ whenever necessary, the test performed by explaining H0 and H1 ;

_ the assumptions needed to perform the test ;

_ the conclusion of the test, mentioning the corresponding risk.

**Exercise 1: First contentful paint [6 points]**

According to the specifications imposed on the website designer, the first text or image must

be displayed in 510ms.

The results (in ms) of 25 queries are as follows:

505,4 512,6 502,3 519,6 505,4 499,2 513,7 509,7 508,3 504,5 515,2 513,5 517,1

501,4 503,5 516,9 499,6 503,7 506,9 513,4 509,2 507,0 521,2 505,8 506,3

Propose a test procedure to check if the site meets the specifications and implement it.

(Several possibilities are possible).

Exercise 2: Weights and heights of children [10 points].

The file Enfants.txt contains 151 records from medical examinations of children in their first

year of kindergarten in a French town in 1996. It contains, for each child:

_ its sex, coded in the variable SEX by F for girl and G for boy ;

_ its weight (actually mass) in kg, in the variable weight ;

_ its height in cm, in the variable height ;

_ its age in years and months, in the variables year and month ;

The fact that her school is located in a priority education zone, coded in the zep variable by

Y for yes and N for no.

1. Import the file Children.txt.

2. (a) Define a vector x1 containing the weights of children whose school is in a priority

education zone

and a vector y1 containing the weights of children whose school is not in a priority

education zone.

(b) Can we consider, at the 95% level of confidence, that the weights of children at schools

in priority zones are identical to those of children at schools outside priority zones?

We will implement a test procedure, remembering to carry out all the intermediate

tests!

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