5.5 Gap Analysis Answers
5.2 Gap analysis
SL.NO STATEMENT EXPECTATION PERCEPTION GAP STD. DEV
1 Expectation - Excellent tour operators companies will have modern looking equipment. 4 3.84 -0.16 0.113137 Perception - The DOTW has modern looking equipment.
2 Expectation-Materials associated with the service will be visually appealing at an excellent company. 4.14 3.82 -0.32 0.226274 Perception-Materials associated with the service are visually appealing to the employees at DOTW.
3 Expectation - When employees of excellent companies promise to do something by a certain time, they do. 3.58 3.5 -0.08 0.056569 Perception - When the employees of DOTW promise to do something by a certain time, we do well.
4 Expectation - Excellent companies have very good service process. 4.22 4.16 -0.06 …show more content…
I have used two methods two calculate the z value, first I have calculated using the standard two sample z-test formula, and again I have used the excel formula to compare or validate the first method.
Formula:
where and are the means of the two samples, Δ is the hypothesized difference between the population means (0 if testing for equal means), σ1 and σ2 are the standard deviations of perception and expectation, and n1 and n2 are the sizes of the two samples, i.e. 17.
The expectation is known to vary with a standard deviation of 0.206219 ppm (parts per million) and 0.427857 ppm for perception. Random samples of 50 yield concentration means of 4.164705882 and 3.603529412, respectively.
Null hypothesis: H0: μ1 = μ2
Alternative hypothesis: H1: μ1 ≠ μ2 = 4.165 = 3.60 Δ = 0 σ1 = 0.206219 σ2 = 0.427857 n1 = 17 n2 = 17
Z=(4.1647-3.60-0)/√((〖(0.206219)〗^( 2) )/17+〖(0.427857)〗^( 2)/17 )
Z=0.5647/√(0.00251+0.0108 )
Z=
SL.NO STATEMENT EXPECTATION PERCEPTION GAP STD. DEV
1 Expectation - Excellent tour operators companies will have modern looking equipment. 4 3.84 -0.16 0.113137 Perception - The DOTW has modern looking equipment.
2 Expectation-Materials associated with the service will be visually appealing at an excellent company. 4.14 3.82 -0.32 0.226274 Perception-Materials associated with the service are visually appealing to the employees at DOTW.
3 Expectation - When employees of excellent companies promise to do something by a certain time, they do. 3.58 3.5 -0.08 0.056569 Perception - When the employees of DOTW promise to do something by a certain time, we do well.
4 Expectation - Excellent companies have very good service process. 4.22 4.16 -0.06 …show more content…
I have used two methods two calculate the z value, first I have calculated using the standard two sample z-test formula, and again I have used the excel formula to compare or validate the first method.
Formula:
where and are the means of the two samples, Δ is the hypothesized difference between the population means (0 if testing for equal means), σ1 and σ2 are the standard deviations of perception and expectation, and n1 and n2 are the sizes of the two samples, i.e. 17.
The expectation is known to vary with a standard deviation of 0.206219 ppm (parts per million) and 0.427857 ppm for perception. Random samples of 50 yield concentration means of 4.164705882 and 3.603529412, respectively.
Null hypothesis: H0: μ1 = μ2
Alternative hypothesis: H1: μ1 ≠ μ2 = 4.165 = 3.60 Δ = 0 σ1 = 0.206219 σ2 = 0.427857 n1 = 17 n2 = 17
Z=(4.1647-3.60-0)/√((〖(0.206219)〗^( 2) )/17+〖(0.427857)〗^( 2)/17 )
Z=0.5647/√(0.00251+0.0108 )
Z=