Question: 1. Based on the data from CDC, we assume the distribution of height for a one-year old boy follows a normal distribution with mean 88.55

1. Based on the data from CDC, we assume the distribution of height for a one-year old boy follows a normal distribution with mean 88.55 cm and standard deviation 4.30 cm.

Find the following probabilities (show your steps):

  1. Find the probability that height of one year boy exceed 89 cm.
  2. Find the probability that height of one year boy is less than 80cm.

Find the probability that weight between 82cm and 90cm

2. Go the website :https://onlinestatbook.com/stat_sim/sampling_dist/

And perform the following exercises to check the changes of sample distribution

  1. Sample size =5 ; number of sample = 5
  2. Sample size =5 ; number of sample = 10,000
  3. Sample size =5; number of sample = 100,000

Take the screenshots for each exercise and discuss the changes

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