Two tellers, A and B, working at the drive through window at a local bank, wante
ID: 3205413 • Letter: T
Question
Two tellers, A and B, working at the drive through window at a local bank, wanted to determine whether teller A serves consistently more customers than teller B during the Friday afternoon shift. The following table shows the number of customers served by each tellers for 11 Friday afternoon shifts.
3. Based on the information given would you apply a
a) Wilcoxon Signed Rank Test b) Sign Test c) Rank-Sum Test d) Pooled T-Test
4. If you are to apply a sign test to this situation, an appropriate null hypothesis will be
a) There is no consistent difference in the number of customers served by teller A and that served by teller B.
b) There is a consistent difference in the number of customers served by teller A and that served by teller B.
c) There is a large difference in the number of customers served by teller A and that served by teller B.
d) Teller A tends to serve more customers than teller B during the Friday afternoon shift.
5. If you are to apply a sign test to this situation and the large sample approximation is used, for a significance level of 5%, the appropriate decision will be
a) Reject H0: Teller A tends to serve more customers than teller B during the Friday afternoon shift
b) Fail to reject the H0: Teller B tends to serve more customers than teller A during the Friday afternoon shift
c) Fail to reject H0: There is no consistent difference in the number of customers served by teller A than that served by teller B during the Friday afternoon shift
d) Reject H0: There is a consistent difference in the number of customers served by a teller A than that served by teller B during the Friday afternoon shift.
SHIFT 1 2 3 4 5 6 7 8 9 10 11 A 23 25 28 24 34 26 23 26 22 22 23 B 22 24 25 22 26 29 25 23 24 2 24Explanation / Answer
We can solve this question using R software easily.
First enter data in to R software
3)
a) R commands and output
b) Sign test
c) Rank sum test
d) Pooled t test
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