Two Sample Hypothesis Testing for Mean Differences

What is the main focus of the two-sample hypothesis test discussed in the video?

• Comparing the means of two different populations

• Comparing the proportions of two different populations

• Comparing the medians of two different populations

• Comparing the variances of two different populations

In the Target and Walmart plastic bag example, what is the null hypothesis?

• The medians of the two populations are different

• The variances of the two populations are equal

• The means of the two populations are equal

• The means of the two populations are different

Why is a two-sided test used in the plastic bag example?

• Because we know which bag holds more weight

• Because we don't know which bag holds more weight

• Because we are only interested in one direction of difference

• Because the sample sizes are unequal

What must be true for both samples in the random condition?

• Both samples must be from the same population

• Both samples must have the same variance

• Both samples must be random

• Both samples must have the same mean

Which condition cannot be checked using the Central Limit Theorem in this example?

• Independence

• Sample size

• Randomness

• Normality

What is the purpose of creating box plots for the data?

• To check for normality and outliers

• To check for independence

• To check for randomness

• To check for equal variances

What is the test statistic formula used in the two-sample hypothesis test?

• Difference of sample means divided by standard error

• Sum of sample variances divided by standard error

• Sum of sample means divided by standard error

• Difference of sample variances divided by standard error

Why might the P-value differ when using the calculator command versus manual calculation?

• Because the calculator does not double the P-value

• Because the calculator uses a different significance level

• Because the calculator uses a more precise degrees of freedom formula

• Because the calculator uses a different formula for the test statistic

What should be included in the final report of the hypothesis test?

• The test statistic, P-value, and degrees of freedom

• Only the degrees of freedom

• Only the P-value

• Only the test statistic

What conclusion can be drawn if the P-value is less than the alpha level?

• Fail to reject the null hypothesis

• Reject the null hypothesis

• The sample size is too small

• The test is inconclusive