# Statistics exercise 3 | Statistics homework help

**Statistics Exercise III**

These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis.

All assignments MUST be typed, double-spaced, in APA style and must be written at graduate level English, citing the text in APA format.

**#1. ** For each example, state whether the one-sample, two-independent-sample, or related-samples *t* test is most appropriate. If it is a related-samples *t* test, indicate whether the test is a repeated-measures design or a matched-pairs design. A professor tests whether students sitting in the front row score higher on an exam than students sitting in the back row.A graduate student selects a sample of 25 participants to test whether the average time students attend to a task is greater than 30 minutes.A researcher matches right-handed and left-handed siblings to test whether right-handed siblings express greater emotional intelligence than left-handed siblings.A principal at a local school wants to know how much students gain from being in an honors class. He gives students in an honors English class a test prior to the school year and again at the end of the school year to measure how much students learned during the year. **#2. ** How does estimation differ from hypothesis testing in terms of the decisions researchers make?

**#3. ** Explain how to determine the effect size of an outcome based on the limits stated for a confidence interval.

**Use SPSS and the provided data to answer the following questions. Round your answers to the nearest dollar, percentage point, or whole number. **

**#4. ** Test the age of the participants (AGE1) against the null hypothesis H0 = 34. Use a one-sample t-test. How would you report the results? A.*t *= -1.862, *df* = 399, *p *> .05 B.*t *= -1.862, *df* = 399, *p *< .05 C.*t *= 1.645, *df* = 399, *p *> .05 D.*t *= 1.645, *df* = 399, *p *< .05

**#5.** Test to see if there is a significant difference between the age of the participant and the age of the partner. Use a paired-sample t-test and an alpha level of 1%. How would you interpret the results of this test? A.The partners are significantly older than the participants. B.The partners are significantly younger than the participants C.The age of the participants and partners are not significantly different. D.Sometimes the partners are older, sometimes the participants are older.

**#6.** Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship? A.The relationship is non-significant. B.There is a significant negative relationship. C.There is a significant positive relationship. D.The correlation is zero.

**#7.** If you randomly chose someone from this sample, what is the chance that they described their relationship as either Happy or Very Happy? A.32% B.37% C.56% D.69%

**#8. ** Perform independent sample t-tests on the Lifestyle, Dependency, and Risk-Taking scores (L, D, and R) comparing men and women (GENDER1). Use *p* < .05 as your alpha level. On each of the three scales, do men or women have a significantly higher score? A.Lifestyle: Men, Dependency: Women, Risk-Taking: Men. B.Lifestyle: Not significantly different, Dependency: Women, Risk-Taking: Men C.Lifestyle: Women, Dependency: Women, Risk-Taking: Men D.Lifestyle: Men, Dependency: Men, Risk-Taking: Not significantly different**Assignment Outcomes:**

Assess the concepts underlying appropriate use of various research methodologies

Analyze how to recognize the inappropriate or deceptive use of research methodology

Compare/contrast the basic assumptions underlying various statistical operations Summarize the consequences of using various methodological approaches Differentiate between the appropriate and inappropriate application and interpretation of research methods and statistics