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Homework answers / question archive / ABC Computers manufacturers network computer server systems and is interested in improving its customer support services
ABC Computers manufacturers network computer server systems and is interested in improving its customer support services. As a first step, its marketing department has been charged with the responsibility of summarizing the extent of customer problems in terms of system dontime. The most recent customers were surveyed to determine the amount of downtime (in hours) they had experienced during the previous month. These data are isted below. (Copy and paste into Excel for faster calaulations.)
Downtime
43.0
24.9
25.1
25.6
25.8
26.2
25.7
25.6
25.5
26.8
26.9
20.8
26.0
27.4
27.1
27.0
27.5
27.5
27.7
27.7
27.8
27.8
20.4
25,5
27.2
27.2
26.9
27.7
26.9
27.2
27.4
27.1
27 .4
ABC wants to include in their new advertising campaign that thair computer systems are more relilable than their compattors, XYZ.
XYZ advertise their average system downtime is only 29 hours.) Detarmine if ABC can advertiea that on average their systems are more reliable than XYZ (Use 5% significance and assume the standard deviation for all of ABC's systems is 13 hours.)
Hypotheses: Ho: Round 1 to two decimals and p-value to four)
Test Statistic:t Conclusion:
If ABC company were to purchese system upgrades that would reduce the standard deviation of downtime by 4 hours, the p-value above would Click to select)Therefore.
SOlution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: u > 29
Alternative hypothesis: u < 29
Note that these hypotheses constitute a one-tailed test.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
S.E = 0.58588
DF = n - 1
D.F = 32
t = (x - u) / SE
t = - 3.66
where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.
The observed sample mean produced a t statistic test statistic of - 3.66.
Thus the P-value in this analysis is less than 0.0001.
Interpret results. Since the P-value (almost 0) is less than the significance level (0.05), we have to reject the null hypothesis.
From the above test we have sufficeint evidence in the favor of the claim that ABC can adevrtise that their systems are more reliable than XYZ.
PFA