Question

(PLEASE TYPE THE ANSWERS)(STATISTICS 500)

Create a research hypothesis in your area of study that would be answered using either a two sample independent or dependent samples t test. Include the following: Introduction: Brief description of the study including the purpose and importance of the research question being asked. What is the null hypothesis? What is the research hypothesis? Participants/Sampling Method: Describe your sampling method. What is your sample size? Who is your population of interest? How representative is the sample of the population under study? Data Analysis: Describe the statistical analysis. (HINT: This should either be a two sample independent or dependent samples t test depending on your research question). What is your IV? What is your DV? What level of measurement (nominal, ordinal, interval or ratio) are your IV and DV? What is your alpha level? Results & Discussion: Did you reject the null hypothesis? What information did you use to lead you to your conclusion? Was your p value greater than or less than your alpha? What is your conclusion based on whether or not you rejected the null hypothesis? NOTE: You can just make up numbers, but include your made-up p value.

Answer 1

Nowadays use of electronics (mobile, video games) has increased a lot due to which students' studies are hindered. Below is a sample SAT score of 20 students out of which scores of 10 students who use lot of electronics (more than 10 hours a day ) are compared with score of 10 students who use less time on electronics (preferable less than 10 hours). Our population of interest are the high school seniors of XYZ.

Systematic sampling is used.First a survey was held to find out the hourly usage. The less than 10 hours were separated from those with more than 10 hours. Then the data was arranged in alphabetical order and every 10th student's score was recorded for our test from both sets.

Since both samples are have different subjects it an independent sample t-test since population Sd is unknown. We assume

1. Samples are random and independent
2. Samples come from a normal population
3. Samples have same population variances.

Since we have two sets separated by the usage our level of measurement is nominal.

Less than 10 hours (1)	More than 10 hours (2)
1427	766
1226	700
1559	879
1299	969
1486	1041
1270	592
1595	820
1402	954
1297	745
1500	1078

Test

: The SAT for both are same ()

: The SAT for less than 10 hours usage is more than high usage students ()

This is one-sided right sided t-test for difference in population means.

Pooled variance =

= 20621.294

Test Stat =

=

= 8.5907

p-value = P ( > T.S. )

= 0.000437 .........using t-dist tables with df = 18

Level of significance

Since p-value < 0.05

We reject the null hypothesis 5% level of significance.

We conclude that the students spending less time on electronics score better than those who spent more time on electronics.