{br} STUCK with your assignment? {br} When is it due? {br} Get FREE assistance. Page Title: {title}{br} Page URL: {url}
UK: +44 748 007-0908, USA: +1 917 810-5386 [email protected]
Select Page
1. The average stress score of students in online universities

QUESTION

Suppose you have information that the average stress score of students in online universities is 13.15.

Using Microsoft Excel, compute a one-sample t-test to find out whether the stress scores reported by your sample are significantly different from those of the population of online students.

Move your output into a Microsoft Word document.

Write one paragraph to explain how you located and determined the critical value of t, and how you determined whether your obtained t-statistic was significant.

Subject Pages Style Education Systems 2 APA

One Sample T-Test

Population Mean (): 21

Sample Mean (): 13.15

Sample Standard Deviation (s): 7.160577171

Sample size (n): 72

t=  = -9.302247179

1.994

BCR: Reject  given that |t| >

|t| = 9.302247179

9.302247179 > 1.994

In locating the critical value of t, I used the student-t distribution table. I majorly used two metrics (the degree of freedom of the sample and  which is the significance level) from Engineering Statistics Handbook (u.d). Given that this type of test was two-tailed-given the hypothesis, I used the two-tailed tests. The degree of freedom was gotten using n-1 (72-1) which gave 71. So, in the t-table, I chose 70 as the closest degrees of freedom and checked vertically along the 5% significance level. This gave me the value 1.994. To assess whether my calculated t was significant, I applied the Basic Critical Region (BCR) Test which states that Reject  given that |t| >  according to Test (2018)

The obtained t (9.3) falls within the rejection region given by the critical t (1.994)Therefore, at 5% level of significance, we reject the null hypothesis and conclude that there is enough evidence to show that stress scores reported in the Week 6 sample are significantly different from those of the population of online students.

### References

 Engineering Statistics Handbook. 1.3.6.7.2. Critical Values of the Student’s-t Distribution. Itl.nist.gov. Retrieved 27 April 2021, from https://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm. Test, N., Plot, T. S., & Plot, I. V. (2018). One-sample t-test.

## Related Samples 