or these problems can be of two types: those that are located inside a central o
ID: 3365210 • Letter: O
Question
or these problems can be of two types: those that are located inside a central office, and those located on lines between the central office equipment. the following data represent samples of 18 problems reported to two different offices of a telephone company and the time to clear these problemsin minutes)from the customers' linos: 1.02 0.65 0.89 1.65 0.90 1.08 6.35 3.95 5.65 7.86 3.85 0.20 125 0.80 0.62 045325 2.50 4.15 0.68 1.98 0.65 1.56 4.25 0.08 1.59 1.65 Assume equal population variances and the pressing time in each office is nomally distributed. To determine if there is a difference between the two central offices with respect to average time to clear these problems in minutes at a significance level a-0.01, one neeids to perform a hypothesis test Given two sample means are:X1 = 2.4261 , X2-2.0761·sample var r cess_ 3.6853, s' = 3.9083 2 4DP) a The pooled variance = c. The test statistic - (4DP) (4DP) d. Upper critical value e. Decision: we reject the null hypothesis.(fill in the blank by "should' or "should not")Explanation / Answer
H0 : poulation mean 1- population mean 2 =0
(a) S2p = (s12(n-1) + s22(n-2))/2n-2
S2p = ((3.6853)(17)+(3.9093)(17))/34
S2p = 3.7968
(b) df : n+n-2 =18+18-2 =34
(c) t statistic = (sample mean 1- sample mean2)/(S2p((1/n)+(1/n))0.5
=(2.4261-2.0761)/(3.7968 (1/9))0.5
=0.0599
(d) critical value (two tailed -upper)=2.728
(e) should not reject the null hupothesis as t critical value> test statistic
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