Write a function called simExp that simulates drawing sample means when lambda=1, with n=10, 30 and...

Write a function called simExp that simulates drawing sample means when lambda=1, with n=10, 30 and 50. Give a histogram for the sample means, as well as the mean and standard deviation of the simulated means. Use 1000 sims. Show that your results are what you would expect theoretically.

Expert Solution

i) R-code:

ii)R-code:

iii) R-code:

As sample size increases the shape of the distribution is going to symmetric. Finally at n = 50 the distribution is normal distribution

milcah answered 5 months ago

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When σ is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for μ. Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for σ, and then use the...

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