DSRT 734: Selecting the Correct APA Result for Coffee and Tea Scores

DSRT 734 Question

A company surveyed customer's opinions about their coffee and tea.
Given the following output from an independent samples t-test from
customer's scores, choose the correct APA formatted statement to
report to determine if there is a significant difference between the
average score for tea and the average score for coffee.


Independent Samples T-Test

                Test          Statistic       df          p

Score           Student       1.998           48.000      0.051
                Welch         2.066           47.944      0.044


Assumption Checks

Test of Equality of Variances (Levene's)

                F             df              p

Score           4.959         1               0.031


Descriptives

                Group         N       Mean        SD         SE

Score           Coffee        22      105.455     7.558      1.611
                Tea           28      100.321     10.008     1.891


Option A

(t[48]=1.998, p=0.051)


Option B

(t[47.94]=2.066, p=0.031)


Option C

(t[47.94]=2.066, p=0.044)


Option D

(t[48]=1.998, p=0.031)

What this question assesses

This item assesses use of a variance diagnostic to select a coherent independent-samples result and distinguish the inferential p-value from the assumption-test p-value in an APA-style expression.

How to approach this type of question

Treat the output as linked tables. First read Levene’s result using the course’s variance decision rule. That diagnostic informs which t-test row to use; it is not the p-value for the coffee-versus-tea comparison. Once the row is selected, keep its statistic, degrees of freedom, and p-value together. Do not mix a statistic from one row with degrees of freedom from another or insert Levene’s p-value into the inferential report. Use the descriptive means and standard deviations to understand the observed direction, while recognizing that the multiple-choice statement shown here asks only for a correctly matched inferential expression. Compare every option field against the selected row and the output’s displayed precision. This page explains that consistency audit but does not reveal the matching choice or write a conclusion.

Perform a row-integrity check: Student results stay together, Welch results stay together, and Levene’s p-value remains diagnostic. Match the chosen statistic, fractional or integer degrees of freedom, and comparison p-value exactly to one row. Then verify whether the option uses the requested bracket or parenthesis convention without letting punctuation override statistical correctness. Descriptive means can support direction in a longer conclusion, but they do not determine which inferential row is valid. Recheck the requested coffee-versus-tea comparison direction and do not interpret Levene’s statistic as the main test. Copy the displayed precision deliberately, and ensure the p-value belongs to the same row as t and df.

Related DSRT 734 questions

• DSRT 734: Reporting an Independent-Samples T-Test in APA Format
• DSRT 734: Reporting a Second Independent-Samples T-Test in APA Format
• DSRT 734: Comparing Grades From Different Students Across Two Years

Related DSRT 734 resources

• University of the Cumberlands course resources
• DSRT 734 Inferential Statistics in Decision-Making
• DSRT 734 Questions: Inferential Statistics in Decision-Making
• Interpreting P-Values, Confidence Intervals, and Effect Sizes