Statistics

Created Feb. 7, 2024 by DR.SASIKALA KRISHNAKUMAR

Problem 1: One Sample t test

IBPS has conducted an exam for the recruitment of personnel to be posted in ABC Bank. The average score of all the candidates was found to be 140. CMR B School, Bengaluru claims that the candidates who have attended coaching class conducted by their Placement Cell have got scores more than the overall average. The following are the scores obtained by 22 students of the Placement Cell of CMR B School. You are required to test whether the average score obtained by the students of the Placement Cell of CMR B School differs from the overall average. The scores obtained by the students of the Placement Cell of CMR B School are as follows:

Roll No.	Scores
1001	135
1002	119
1003	106
1004	135
1005	180
1006	108
1007	128
1008	160
1009	143
1010	175
1011	170
1012	205
1013	195
1014	185
1015	182
1016	150
1017	175
1018	190
1019	180
1020	195
1021	220
1022	235

HYPOTHESES

Null Hypothesis H₀: There is no significant difference between the overall average score and the average score obtained by the students of the Placement Cell of CMR B School

Alternative Hypothesis H₁: There is a significant difference between the overall average score and the average score obtained by the students of the Placement Cell of CMR B School.

One-Sample Statistics

	N	Mean	Std. Deviation	Std. Error Mean
IBPS Exam Scores	22	166.86	35.178	7.500

One-Sample Test

	Test Value = 140
	T value	DF	Sig. (2-tailed) P value	Mean Difference	95% Confidence Interval of the Difference
					Lower	Upper
IBPS Exam Scores	3.582	21	0.002	26.864	11.27	42.46

Since the p value 0.002 is less than 0.01 (p<0.01), there is a significant difference between the overall average and the average scores obtained by the students of CMR B School.

It is concluded that the students of CMR B School have obtained scores more than the overall average score.

Learning Goals

Statistics

Standards