R Programming for Statistics and Data Science - Test for the Mean - Population Variance Unknown

R Programming for Statistics and Data Science - Test for the Mean - Population Variance Unknown

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial covers hypothesis testing for the mean when population variance is known and unknown. It presents a scenario where a marketing analyst estimates a competitor's email open rate using a photo from Instagram. The tutorial explains how to formulate null and alternative hypotheses, emphasizing the use of a one-sided test and significance level. It introduces the T statistic for small samples with unknown variance, comparing it to the Z score. The tutorial concludes with a reminder of the importance of exercises to reinforce learning.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of hypothesis testing?

To confirm the alternative hypothesis

To reject the null hypothesis

To prove the null hypothesis

To calculate the mean

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the null hypothesis in the email open rate scenario?

The competitor's open rate is not measurable

The competitor's open rate is greater than 40%

The competitor's open rate is less than or equal to 40%

The competitor's open rate is exactly 40%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance level used in the email open rate test?

0.10

0.50

0.05

0.01

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the T-statistic used instead of the Z-score in this scenario?

Because the population variance is known

Because the sample size is large

Because the data is not normally distributed

Because the population variance is unknown and the sample size is small

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

They adjust the critical value based on sample size

They determine the sample size

They are used to calculate the mean

They are irrelevant in hypothesis testing

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a P-value greater than the significance level indicate?

The test is inconclusive

The null hypothesis is rejected

The alternative hypothesis is accepted

The null hypothesis cannot be rejected

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decision rule for the T-statistic in hypothesis testing?

Accept the null hypothesis if the T-score is higher than the critical value

Accept the null hypothesis if the T-score is lower than the critical value

Reject the null hypothesis if the T-score is lower than the critical value

Reject the null hypothesis if the T-score is higher than the critical value