1. A sample is chosen randomly from a population model that was strongly skewed to the right with m =145 and s =100 . a. If we draw a random sample of n = 1000 from this population, what will be the shape of the histogram based this sample? What would be your best guess of mean and standard deviation of this sample? b. If we draw 10,000 samples of size n = 1000 from this population, what will be the shape of the histogram of the sample means. What would be your best guess of sample mean and sample standard deviation of the distribution represented by this histogram?

tac62txC

tac62txC

Answered question

2022-11-25

1. A sample is chosen randomly from a population model that was strongly skewed to the right with m =145 and s =100 .
a. If we draw a random sample of n = 1000 from this population, what will be the shape of the histogram based this sample? What would be your best guess of mean and standard deviation of this sample?
b. If we draw 10,000 samples of size n = 1000 from this population, what will be the shape of the histogram of the sample means. What would be your best guess of sample mean and sample standard deviation of the distribution represented by this histogram?

Answer & Explanation

maoparetaItz

maoparetaItz

Beginner2022-11-26Added 6 answers

a) For a large sample of n=1000 , the shape of distribution is approximately bell shaped or it has well normal curve with mean μ = m = 145 and
b) For 10000 sample drawn , the shape is same as normal curve i.e. bell shape curve. With mean = μ = m = 145
And sigma = s / n = 100 / 10000 = 1

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