Your business relies on the reliable operation of modem-routers for internet con

Question

Your business relies on the reliable operation of modem-routers for internet connection in remote locations. You have recently opened 2 locations in a rural area of Western Maryland. Problems with the operation of the modem-routers have been persistent and your manager of operations has suggested that you should select one of the locations-- the one with the best up-time (fewest outages) in internet service-- and shut the other location down. A quick decision is needed on the choice of the location to retain. The operations manager suggests that records be kept for the next 50 days of operation and the decision should be based on a "significant difference" in performance. The table shows the number of times during a day when the modem-router had to be reset remotely-- e.g. Day 17 at location 1 there were 6 resets. It appears that Location 2 has more resets of the equipment. The manager points out that the measure of interest in a day is not the number of resets, but, whether or not a reset was performed, regardless of the quantity. This means that whether a reset in a day was 1 or 7, the results are the same--a reset occurred. Perform a 1 tail test of hypothesis at the 0.05 level and determine if the proportion of days that had a (any resets--1,2,3 etc.) reset is significantly higher at Location 2 than Location 1. Use Excel Data Analysis package or Minitab for you test.

1) Is there a significant difference in the outages between sites?

2) State how you make your decision (what evidence from the test leads you to make your decision). Place the output from the test in the area provided. (NEED DETAILED ANALYIS ON THIS QUESTION).

DayI2:K28 Location 1 Location 2 1 0 4 2 1 0 3 0 1 4 0 5 5 3 1 6 0 0 7 4 1 8 0 0 9 0 5 10 1 0 11 3 0 12 0 3 13 0 4 14 0 0 15 0 0 16 0 4 17 6 0 18 0 1 19 2 1 20 4 0 21 3 5 22 0 8 23 0 0 24 0 1 25 1 0 26 0 3 27 3 0 28 5 3 29 0 1 30 0 4 31 0 3 32 6 4 33 2 2 34 0 0 35 1 0 36 1 1 37 0 2 38 0 0 39 3 0 40 0 4 41 0 0 42 1 0 43 5 1 44 0 0 45 3 0 46 1 0 47 0 0 48 4 7 49 1 0 50 1 0 1.3 1.58

Explanation / Answer

the number of resets more than 0

location A - 26

location B - 24

Test and CI for Two Proportions

Method

Descriptive Statistics

Estimation for Difference

CI based on normal approximation

Test

1)

there is not a significant difference in the outages between sites

2) we make decision by using p-value

as since p-value = 0.689 > 0.05

we fail to reject the null

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p: proportion where Sample 1 = Event p: proportion where Sample 2 = Event Difference: p - p

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