If Z Is a Standard Normal Random Variable,find the Value

question 140

Short Answer

If z is a standard normal random variable,find the value z₁ for which:
A)P(0 ≤ z ≤ z₁)= 0 .276
B)P(z ≥ z₁)= 0.341
C)P(z ≥ z₁)= 0.819
D)P(-z₁ ≤ Z ≤ z₁)= 0.785

• A)P(0 ≤ z ≤ z₁)= 0 .276
• B)P(z ≥ z₁)= 0.341
• C)P(z ≥ z₁)= 0.819
• D)P(-z₁ ≤ Z ≤ z₁)= 0.785

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Definitions:

Type II Error

A statistical error that occurs when a hypothesis test fails to reject a false null hypothesis.

Sample Size

The number of observations or replicates included in a statistical sample.

Significance Level

The threshold for rejecting the null hypothesis, representing the probability of committing a Type I error if the null hypothesis is actually true.

One-Tailed Test

A statistical test where the region of rejection is on only one side of the sampling distribution, used when testing for a direction in the relationship between variables.