QNT 561

March 23, 2015

(a) The research question

* Is there a difference in claims intake call volume (dependent variable) based on the day of the week (independent variable)?

(b) Mock data for the independent and dependent variables

* Call Volume = S – 51; M – 56; T – 47; W – 55; Th – 70; F – 72; Sat – 81

* Days of the Week = 7

* Mean = 61.92

* Median = 56.02

* Mode = No mode

* Standard deviation = 11.77

* Interquartile range (IQR) = 17.98

* Range = 34.32

The hypothesis for the presumed data is as follow:

Hypothesis: Additional call center agents would need to be scheduled during the weekend to adhere to the claims intake call volume.

H0 = There is a difference in claims intake call volume based on the day of the week.

H1 = There is no difference in claims intake call volume based on the day of the week.

The statistical tool that should be used is the two-sided test to compare based on the theory that there is no substantial difference. To reject the null hypothesis, the data has to determine that there is no significant different in claims intake call volume based on the day of the week.

Conduct a hypothesis test with a 95% confidence level, using the statistical tool.

Using the two-sided test, the results from a 95% confidence level is 50.16 and 73.68. The equation used to determine the confidence level is . represents the mean, while t is

automatically calculated. For a 95% confidence level, Z is 1.96. S is for standard deviation and n represents the number. Based on the data, we are 95% confident that the true amount of call volumes per day is between 50 (50.16) and 74 (73.68).*

*Numbers are rounded up, as there is no capability to take 50.16 to 73.68 calls