Critical Value

Question 1

What does the symbol z* represent in statistics?

Answer 1

The critical value for a given confidence level.

Question 2

True or False: A higher confidence level results in a smaller z* value.

Answer 2

False.

Question 3

What is the z* value for a 90% confidence level?

Answer 3

1.645.

Question 4

Fill in the blank: The z* value for a 95% confidence level is ____.

Answer 4

1.96.

Question 5

What is the critical value for a 99% confidence level?

Answer 5

2.576.

Question 6

How do you find the z* value for a specific confidence level?

Answer 6

Use a standard normal distribution table or calculator.

Question 7

True or False: The z* value is the same for both one-tailed and two-tailed tests.

Answer 7

False.

Question 8

For a 98% confidence level, what is the z* value?

Answer 8

2.33.

Question 9

Multiple Choice: Which of the following z* values corresponds to a 85% confidence level? A) 1.44 B) 1.96 C) 2.33

Answer 9

A) 1.44.

Question 10

True or False: The area under the standard normal curve to the left of z* corresponds to the confidence level.

Answer 10

True.

Question 11

What is the z* value for a 75% confidence level?

Answer 11

1.15.

Question 12

Fill in the blank: The z* value for a 99.9% confidence level is ____.

Answer 12

3.291.

Question 13

Short Answer: Why is it important to know the critical value z*?

Answer 13

It is used to calculate confidence intervals and hypothesis tests.

Question 14

Multiple Choice: Which z* value is appropriate for a two-tailed test at the 95% confidence level? A) 1.96 B) 1.645 C) 2.576

Answer 14

A) 1.96.

Question 15

What does a z* value of 0.00 indicate?

Answer 15

It indicates the mean of the standard normal distribution.