Question 1. Data Set 1 This data comes from Mater Mother\'s Hospital in Brisbane

Question

Question 1. Data Set 1 This data comes from Mater Mother's Hospital in Brisbane, Australia. The data set contains the birth weight of 44 babies born in the 24-hour period of 18 December 2016. Using the Anderson- Darling Test, check whether the data set comes from a specified distribution, in our case, the normal distribution or not. This test makes use of the cumulative distribution function. 0 8 Table of Birth Weights (Grams) 38373480 33343116 38383783 36253345 22083034 1745218 846330 1662383 3294363 2576340 2083402 521350 746373 5233370 29022121 26353150 39203866 6903542 4303278

Explanation / Answer

>data<-scan()
>data
[1] 3837 3334 3554 3838 3625 2208 1745 2846 3166 3520 3380 3294 2576 3208 3521
[16] 3746 3523 2902 2635 3920 3690 3430 3480 3116 3428 3783 3345 3034 2184 3300
[31] 2383 3428 4162 3630 3406 3402 3500 3736 3370 2121 3150 3866 3542 3278
> install.packages("nortest")
> require(nortest)
#Null Hypothesis: Data is not follow the Normal Distribution
#Alternative Hypothesis: Data follow the Normal Distribution
#Applying the ad.test command to test the normality
>ad.test(x)
Anderson-Darling normality test

data: x
A = 1.7168, p-value = 0.0001788
#Here the p-value is very very less than 0.05 (significance level)
#Result: Our Null Hypothesis is rejected
#The data follow the Normal ditribution.

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