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Hypothesis Testing for Population Mean with Unknown Standard Deviation

Hypothesis Testing for Population Mean with Unknown Standard Deviation

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary distribution used when the population standard deviation is unknown?

Student's T distribution

F distribution

Chi-square distribution

Normal distribution

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the null hypothesis typically about in hypothesis testing for a population mean?

The sample mean

The population mean

The population standard deviation

The sample standard deviation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example problem, what is the null hypothesis regarding the metal bars?

The penetration is not equal to 5 mm

The penetration is equal to 5 mm

The penetration is more than 5 mm

The penetration is less than 5 mm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the test statistic calculated in the example problem?

X bar minus mu divided by the sample standard deviation over the square root of the sample size

X bar minus mu divided by the sample standard deviation

X bar minus mu divided by the square root of the sample size

X bar minus mu divided by the sample size

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance level used in the example problem?

0.01

0.05

0.10

0.15

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of degrees of freedom in the T distribution?

It is irrelevant in hypothesis testing

It determines the sample size

It adjusts the shape of the T distribution

It is used to calculate the sample mean

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative hypothesis in the example problem?

The penetration is more than 5 mm

The penetration is less than 5 mm

The penetration is equal to 5 mm

The penetration is not equal to 5 mm

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