Question

1. Complete Part I of this assignment first, if you have not done so, because it provides guided practice on questions similar to the questions in Part II here.
2. Check out the “Important Resources and Assignment Guides” in the Modules section on Canvas to see how to properly show your math work. There are also examples of the APA-style tables and graphs (figures) for your reference.
3. Your submitted assignment must be in Word format, with a clear answer typed out for each question, even if you show math work in a separate Excel file.

Q1) One-Sample t-Test (21 points total)

I am curious about how many hours per week my students spend on their online coursework. So, I surveyed 9 of my students on how many hours per week they spend on my online PSY 230 course. According to a survey of online college students (in all courses), students studied an average of 9 hours a week for a 3-credit course. I assume that the national study time scores are normally distributed, and I set the significance level at α = .05.

Student	Study hours
1	12
2	19
3	21
4	14
5	11
6	9
7	12
8	10
9	7

1. What is the dependent variable in this hypothesis test? What is the “sample” for this one-sample t test? (2 points total: 1 for each question)

2. I am interested in testing whether there are any differences between my students and the national average, so my hypothesis is non-directional. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? (4 points total: 1 for each hypothesis in words, 1 for each hypothesis in notation)

3. Calculate the sample mean. (2 points total: 1 for work, 1 for answer)

4. Estimate the standard deviation of the population (2 points total: 1 for work, 1 for answer)

5. Calculate the standard error (standard deviation of the sampling distribution) (2 points total: 1 for work, 1 for answer)

6. Calculate the t statistic for the sample (2 points total: 1 for work, 1 for answer)

7. Specify whether the test is a one-tailed or two-tailed test based on the hypotheses form (b), and then determine the critical t value(s) based on the type of test and the preset alpha level (2 points total: 1 for each answer)

8. Compare the t statistic with the critical t value. Is the calculated t statistic more extreme or less extreme than the critical t value? Then make a decision by stating whether we “reject” or “fail to reject” the null hypothesis (2 points total: 1 for each answer)

1. Interpret the result in 1-2 sentences (you may restate the hypothesis accepted or explain it in your own words) (1 point)

10. Calculate the raw effect size and the standardized effect size of this hypothesis test (4 points total: 2 per effect size: 1 for work, 1 for answer)

Answer 1

1)Dependent Variable is study hours. Sample is 9 students.

2) H0: Average study hours difference between the my students and the national students is equal to zero.

H1: Average difference between the my students and the national students is not equal to zero.

3) Sample mean = 13

Population standard deviation = 4.3148

Standard error = 1.5255

Result- Average study hours difference between the my students and national students is not equal to zero.

Interpretation - The average study hours for sample students and national students is not same i.e. different study hours for both groups. PL??