To Test the Hypotheses: H ₀: M = 40 Vs

question 3

Essay

To test the hypotheses: H ₀: m = 40 vs. H ₁: m ¹ 40, we draw a random sample of size 16 from a normal population whose standard deviation is 5. If we set a = 0.01, find the probability of committing a Type II error when m = 37.

Define and distinguish between cumulative distribution functions, probability mass functions, and probability density functions.

Use standardized z-values to find probability.

Understand joint and marginal probability distributions for discrete random variables.

Recognize properties of specific probability distributions, such as uniform and normal distributions.

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