A6 P1#

Suppose we are sampling 58 observations from a normally distributed population where it is known that σ = 24, but μ is unknown. We wish to test H0:μ=params.munull against H1:μparams.munull at α=params.alpha. Suppose, in reality, the null hypothesis is false and μ=params.mutrue.

Part 1: (a)#

For the given test, please state the critical value corresponding to the left tail.

Answer Section#

Enter in a numeric value.

Part 1: (b)#

For the given test, please state the critical value corresponding to the right tail.

Answer Section#

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Part 2: (a)#

For what values of X¯ would the null hypothesis be rejected? Please provide the lower bound of this range.

Answer Section#

Enter in a numeric value.

Part 2: (b)#

Now, please provide the upper bound of this range.

Answer Section#

Enter in a numeric value.

Part 3#

What is the Type I error?

Answer Section#

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Part 4#

What is the Type II error?

Answer Section#

Enter in a numeric value.

Part 5#

What is the power of the test?

Answer Section#

Enter in a numeric value.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.