Find the probability of type i error

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Reference no: EM1321297

Question1: You must decide which of two discrete distributions a random variable X has. We will call the distributions p? and p?. Here are the probabilities they assign to the values of X:

X	0	1	2	3	4	5	6
p?	0.1	0.1	0.1	0.1	0.2	0.1	0.3
p?	0.3	0.2	0.1	0.1	0.1	0.1	0.1

You have a single observation on X and wish to test

H?: p₀ is correct

H_a: p₁ is correct

One possible procedure is to reject H₀ only if X=0 or X=1

[A] Find the probability of Type I error.
[B] Find the probability of Type II error.

Question2: A random sample of the houses in LA is selected and the level of radon gas is measured for each house in the sample. The values collected are given below in parts per million (ppm). Experience has shown that radon gas level is approximately normally distributed for this population.

4, 8, 13, 6, 7, 3, 9, 8, 11, 8

Construct the 99% confidence interval for µ.

Reference no: EM1321297

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