draws conclusion about the population mean based on the test-sta

What is the test-statistic formula when the population variance is known?

• Z=x-μ/(σ/√n)

• T=x-μ/(σ/√n)

• Z=x-μ/(s/√n)

A factory claims that the mean production time for a gadget is 15 minutes. A sample of 49 gadgets has a mean of 14.2 minutes with a standard deviation of 3 minutes. What test should be used?

• Z-test

• T-test

• Cannot be determined

The test-statistic is -2.8 and the rejection region is below -2.33. What is the correct conclusion?

• Fail to reject Ho

• Reject Ho

• Cannot Determine

1. What is the null hypothesis (H0) when testing for a population mean?

• • The population mean is greater than a specific value.

• • The population mean is less than a specific value.

• • The population mean is equal to a specific value.

What does a rejection region represent in hypothesis testing?

• • The range of values where the null hypothesis is accepted.

• • The range of values where the null hypothesis is rejected.

• • The critical values of the test statistic.

If the test-statistic value falls within the rejection region, what conclusion can you draw?

• • Fail to reject the null hypothesis.

• • Reject the null hypothesis.

• • Accept the null hypothesis.

What is the main purpose of conducting a hypothesis test for a population mean?

• • To determine the exact population mean.

• • To estimate the population mean.

• • To make a decision about the population mean based on sample data.

The value that separates a rejection region from an acceptance region is called a ___________.

• hypothesis

• critical value

• significance level

In the two-tailed test, the rejection region lies on ___________ of the normal distribution:

• center

• left tail

• both tails

What is the critical value if the population variance is unknown, 𝑛=13, 𝛼= 0.05, and it is a one-tailed test?

• 𝑡=1.782

• 𝑡=2.179

• 𝑡=2.681