A t-test is primarily used to compare the means of ___ groups.

Two

True or False: A t-test can only be performed when the population variances are known.

False. A t-test is used when population variances are unknown.

What is the null hypothesis in a t-test?

The null hypothesis assumes that there is no significant difference between the means of the two groups being compared.

Fill in the blank: The t-test is particularly useful for data that follows a ___ distribution.

Normal

What are the key data values required to conduct a t-test?

The mean difference between the two datasets, the standard deviation of each group, and the number of data points.

True or False: A paired sample t-test is suitable for independent samples.

False. A paired sample t-test is used for related samples.

The formula for calculating the t-value in an independent t-test involves the means and ___ of each sample.

Variances

What type of t-test would you use when the sample sizes of the two groups differ significantly?

Unequal Variance T-Test or Welch's t-test.

Fill in the blank: A significant t-value, compared to the critical value from the T-distribution table, leads to ___ the null hypothesis.

Rejecting

What does a large t-score indicate about the two groups being compared?

It signifies significant differences between the groups.

True or False: The degrees of freedom in a t-test are calculated as the sum of the sample sizes minus one.

False. The degrees of freedom are calculated as the sum of the sample sizes minus two.

What statistical method is used to assess whether a sample mean differs from a hypothesized value when the population variance is known?

Z-test

Fill in the blank: The Central Limit Theorem states that as sample size increases, the distribution of sample means approaches a ___ distribution.

Normal

What is the primary difference between a z-test and a t-test?

Z-test versus T-test explained.

• Z-test uses known standard deviation.

• T-test applies to smaller samples.

• Choice impacts statistical analysis.

True or False: The z-score measures how many standard deviations a data point is from the population mean.

True.

What is the significance level commonly used in hypothesis testing?

0.05 or 5%.

Fill in the blank: In hypothesis testing, a p-value less than the significance level leads to ___ the null hypothesis.

Rejecting

What type of t-test should be used when comparing the same subjects under two different conditions?

Paired Sample T-Test.

What is the role of the T-Distribution Table in conducting a t-test?

It provides critical values for determining whether to accept or reject the null hypothesis based on the calculated t-value.

A t-test is primarily used for ___ testing.

Hypothesis testing

True or False: A t-test is appropriate for sample sizes larger than 30 when the population standard deviation is known.

False; a z-test should be used in this case.

The formula for calculating the t-value in an unequal variance t-test includes the means, variances, and ___ of each sample set.

Number of records