A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 P. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete parts (a) through (d) below. Click the icon to view the bank branch data. a. Assuming that the population variances from both banks are equal, is there evidence of a difference in the mean waiting time between the two branches? (Use α = 0.05.) Let μ₁ be the mean waiting time of the commercial district branch and μ₂ be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. A. Ho: H1 H2 H₁: H1 H2 O C. Ho: Hi#U2 H₁: H₁ H₂ C Find the test statistic. tSTAT = (Round to two decimal places as needed.) OB. Ho: H1 H2 H₁: H1 H₂ OD. Ho: H1 H₁: H1 H2 H₂

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Waiting Time Data
Commercial
4.32
5.37
3.11
5.23
4.52
2.71
3.33
3.41
4.41
6.15
0.26
5.18
6.34
6.15
3.62
Residential
9.62
5.94
8.09
5.71
8.63
3.62
8.23
8.47
10.71
6.84
5.57
4.09
6.04
9.92
5.54
X
Transcribed Image Text:Waiting Time Data Commercial 4.32 5.37 3.11 5.23 4.52 2.71 3.33 3.41 4.41 6.15 0.26 5.18 6.34 6.15 3.62 Residential 9.62 5.94 8.09 5.71 8.63 3.62 8.23 8.47 10.71 6.84 5.57 4.09 6.04 9.92 5.54 X
A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 P.M
lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line
until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete parts (a) through (d) below.
Click the icon to view the bank branch data.
a. Assuming that the population variances from both banks are equal, is there evidence of a difference in the mean waiting time between the two branches? (Use α = 0.05.)
Let μ₁ be the mean waiting time of the commercial district branch and μ₂ be e mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct
answer below.
A. Ho: H1= H2
H₁: H1 H2
OC Ho: Hi#U2
H₁: H1 = H2
C
Find the test statistic.
ISTAT =
(Round to two decimal places as needed.)
OB. Ho: H1 H2
H₁: H1> H₂
O D. Ho: H1 H2
H₁: H1 <H2
Transcribed Image Text:A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 P.M lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete parts (a) through (d) below. Click the icon to view the bank branch data. a. Assuming that the population variances from both banks are equal, is there evidence of a difference in the mean waiting time between the two branches? (Use α = 0.05.) Let μ₁ be the mean waiting time of the commercial district branch and μ₂ be e mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. A. Ho: H1= H2 H₁: H1 H2 OC Ho: Hi#U2 H₁: H1 = H2 C Find the test statistic. ISTAT = (Round to two decimal places as needed.) OB. Ho: H1 H2 H₁: H1> H₂ O D. Ho: H1 H2 H₁: H1 <H2
Expert Solution
Step 1

stat = (mean1 - mean2)/√[(S1²/N1) + ( S2²/N2)]

1: commercial(N1=15)

4.32,5.37,3.11,5.23,4.52,2.71,3.33,3.41,4.41,6.15,0.26,5.18,6.34,6.15,3.62

 

2 : Residential :(N2=15)

9.62,5.95,8.09,5.71,8.63,3.62,8.23,8.47,10.71,6.84,5.57,4.09,6.04,9.92,5.54

 

Null hypothesis : 

Mean1 = mean2 

Alternative hypothesis :

Mean1 ≠ Mean2

 

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