Question

This question should generate a range of quantitative data - "How many hours of sleep do you get on average?"

I asked 25 people:

1. 8 hours

2. 8 hours

3. 6 hours

4. 5 hours

5. 6 hours

6. 7 hours

7. 6 hours

8. 6 hours

9. 5 hours

10. 4 hours

11. 8 hours

12. 8 hours

13. 9 hours

14. 7 hours

15. 6 hours

16. 6 hours

17. 7 hours

18. 6 hours

19. 4 hours

20. 5 hours

21. 9 hours

22. 8 hours

23. 5 hours

24. 7 hours

25. 7 hours

Calculate the mean and standard deviation of your distribution and interpret their meanings.

Calculate a 95% confidence interval for the mean of your distribution using the t-distribution and your sample standard deviation.

Need the-

Mean:

Standard Error:

Median:

Mode:

Standard Deviation:

Sample Variance:

Kurtosis:

Skewness:

Range:

Minimum:

Maximum:

Sum:

Count:

Answer 1

1.

Hrs of Sleep
8
8
6
5
6
7		Mean	6.52
6		Standard Deviation	1.42
6
5
4
8
8
9
7
6
6
7
6
4
5
9
8
5
7
7

In this case, Mean is 6.52 , which means on an average people get 6.52 hours of sleep.

Standard deviation is 1.42, which means the Average deviation of the individual values from the mean is 1.42.

2. Mean = 6.52

Standard deviation = 1.42 ;

Sample size,n = 25

Confidence level = 95%

Therefore Alpha , = (1-95%)/2 = 2.5% ; Degrees of Freedom = n - 1 = 25 - 1 = 24

For Degrees of freedom of 24 & of 2.5%, the t value is 2.064

The lower limit of confidence interval = Mean -  2.064 * Standard deviation = 6.52 - 2.064 * 1.42 = 3.5937

The upper limit of confidence interval = Mean + 2.064 * Standard deviation = 6.52 + 2.064 * 1.42 = 9.4462

3.

Hrs of Sleep
Mean	6.52
Standard Error	0.283549
Median	6
Mode	6
Standard Deviation	1.417745
Sample Variance	2.01
Kurtosis	-0.73319
Skewness	0.003662
Range	5
Minimum	4
Maximum	9
Sum	163
Count	25

Hope I answered your query.