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Running Head: New Call Time
New Call Time
New call time
A two-sample hypothesis test is used to compare to means in order to retain or reject a null
hypothesis. A z-test is used when solving a two-sample hypothesis test. Based on the New Call
Center Data, two assumptions can be made. One is that the data follows a normal distribution
and that the values are independent.
H0: Old time=New time
H1: Old time ≠New time
For the z-statistic to be computed from the data, there must be a sample size. Summation of the
assumption shows that the sample sizes for the old and new call are 11.066 and 8.742
respectively. We assume the sample variances for the new and old calls to be x and y
respectively. In calculation we use the statistical test formula of t= (mean x-mean y) or [s*sqrt
(1/mean y+1/mean x), where S=sqrt (mean x*s^2x + mean y*s^2y) (John, 2014).
Substituting the values to find S with the data given we have [(170*11.066
+170*8.853)/(11.066+8.853)= 11.02-2=4.04. Substituting to the rest of the formula we get
The critical value of from the N-tables with 5% significance levels is 3.985. 5.296 is greater than
3.985, therefore, we reject Ho. We recommend to the vice president that the advancements made
in call time are significant and should continue.
New Call Time
According to John (2014), in a linear relationship of a dependent and independent variable, we
can estimate its strength and direction using a correlation coefficient. Correlation coefficients lie
between -1 and +1 (John, 2014). In order t...