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# researcher is interested in examining whether or not standardized testing scores are biased against students that are English as a second language

INSTRUCTIONS TO CANDIDATES

A researcher is interested in examining whether or not standardized testing scores are biased against students that are English as a second language (ESL) when compared to native English speakers (EFL). To answer their research questions, they survey senior-level college students, chosen randomly via a random number generator, and ask them about their HSGPA, cumulative college GPA, and their ESL status. Use the data in the following two scenarios to answer the researcher’s questions.

Participant Number Group Membership Standardized Testing Exams

1 1 ESL 18

2 2 EFL 22

3 2 EFL 24

4 1 ESL 31

5 1 ESL 22

6 1 ESL 13

7 2 EFL 27

8 2 EFL 21

9 1 ESL 22

10 2 EFL 33

11 1 ESL 22

12 2 EFL 24

13 2 EFL 21

14 1 ESL 19

15 1 ESL 22

16 2 EFL 24

17 2 EFL 28

18 1 ESL 17

19 1 ESL 21

20 2 EFL 21

1.  Using the data provided, determine the null and alternative hypotheses. Then determine how many tails this research question has. (1 point)

2. Using the data provided, use what you have learned to calculate all three measures of central tendency and all three measures of variability (2 points)

3. Based on the data above, describe what type of analysis you plan to carry out and why you chose that type (2 points)

4. Carry out the necessary statistical analysis: calculate your obtained statistic, locate the appropriate critical value for comparison (remember the number of tails your design has) and engage in hypothesis testing (4 points).

5. Reporting your t-test results in APA: Using the template below, report the findings of your analysis in APA. (1 point)

“The current study examined the influence of [your IV(s)] on [your DV]. To determine whether group differences were observed, a(n) [insert type of analysis you did here] was conducted to compare the effects of [insert your DV here] in [insert your IV level 1 here],  [insert your IV level 2 here], and [insert other levels if more than 2 here]. The [statistical analysis you did] [revealed (or failed to reveal if you did not find significant difference) a significant group difference] for [IV level 1] (Mx = XX.XX, SDx = X.XX), [ IV level 2] (My = XX.XX , SDy = X.XX), and [ IV level 3, if needed] (Mz = XX.XX; , SDz = X.XX); [insert appropriate statistical statement here].

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