 n = x1 + x2 + x3 + x4 …..xn / n

x1+x2+x3+x4的总和…xn = 418

| (x – x)2 |

SE= s/√n = 3.72/√58 = 0.488

x /√s2 / N = t

s=标准差= 3.72

N = 58

x = 7.2

t值的右尾检验

One of the most important parts of the life of each and every person is his or her sleep. It is something which is the most integral parts of the life of the person. A good sleep contributes to the life of the person. If people do not sleep enough, they may not be active during the day time and will feel lethargic, lazy and tired. Students also need to have a proper sleep in order to ensure that they are able to concentrate on their subjects and are able to gain fruitful knowledge from the classroom and the training sessions. In this research paper, the discussion has been done in order to find the average number of hours for which the students are sleeping in night. In order to do the same, the quantitative analysis has been done by conducting the survey. On the basis of the same the t –score has been calculated and the average hours of sleep has been tried to analyse.
The calculation of the mean value has been done by the following formula:
n = x1+x2+x3+x4…..xn /n
Here n= 58
Total sum of x1+x2+x3+x4…..xn= 418
Thus, the value of mean can be calculated as: 418/58= 7.20
After the calculation of mean, it is important to calculate the value of standard deviation.
The calculation of the standard deviation can found by the use of the following formula:
| (x – x)2 |
An example:
Let us consider the case in which the value of x= 7, x= 7.20
Thus, the value of (x – x)2 | will be = (7-7.2)2 = 0.04
For another case where x=8 and x= 7.2, the value of | (x – x)2 | will be (8-7.2)2 = 0.64
The total value for standard deviation for the all the observations has been found to be 215.86.
Thus the average of standard deviation is for all the observations = 215.86/58= 3.72
The next calculation for finding the t observation can be done by the calculation of standard error. Standard error may be defined as deviation of the distribution of the sampling distribution of a statistic. The standard error can be calculated by the formula:
SE= s/√n = 3.72/√58 = 0.488
After this the values for the calculation of t can be given by the formula:
x/ √s2/N =t
s= standard deviation = 3.72
N=58
x = 7.2
Right Tailed test for t value