T-Test

What is the purpose of a t-test?

• To determine if there is a statistically significant difference between the means of two groups or conditions

• To analyze categorical data

• To perform regression analysis

• To calculate the median of a dataset

Which type of t-test is used to compare a sample mean to a predefined/critical value?

• One-sample t-test

• Paired t-test

• ANOVA

• Independent sample t-test

What is the assumption for the data in a one-sample t-test?

• Data should be approximately normally distributed

• There should be significant outliers

• Data should be randomly selected

• Data should be categorical

What is the formula for the one-sample t-test statistic?

• (sample mean - theoretical mean) / (sample standard deviation / square root of sample size)

• (sample mean - theoretical mean) * sample size

• (sample mean + theoretical mean) / sample standard deviation

• (sample mean - theoretical mean) * sample standard deviation

When can we reject the null hypothesis in a one-sample t-test?

• If the sample size is small

• If the data is not normally distributed

• If the sample mean is equal to the theoretical mean

• If the p-value is greater than 0.05

What test can be used if the data does not satisfy the assumptions for a one-sample t-test?

• Chi-square test

• ANOVA

• Wilcoxon Signed-Rank Test

• Mann-Whitney U test

What is the null hypothesis for an independent sample t-test?

• The data is not normally distributed

• The sample sizes of both groups are equal

• The sample means of both groups are significantly different

• The sample means of both groups are the same

What is the formula for calculating the Student t-test statistic for independent samples?

• (mean of group A - mean of group B) / (standard deviation of group A + standard deviation of group B)

• (mean of group A - mean of group B) / (common variance of two samples)

• (mean of group A - mean of group B) / (standard deviation of group A + standard deviation of group B)

• (mean of group A - mean of group B) * square root of sample sizes

When can we use the Welch's t-test instead of the Student t-test?

• When the variances of the two sample groups are different

• When the sample sizes are small

• When the data is not normally distributed

• When the variances of the two sample groups are equal

What is the alternative test to use if the data is not normally distributed in an independent sample t-test?

• ANOVA

• Chi-square test

• Wilcoxon Signed-Rank Test

• Mann-Whitney U test