Question

Please show me how to use R to solve the problem. thanks!

A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon-to-1 P.M. lunch period. The bank has the business objective of reducing the waiting time (defined as the number of minutes that elapse from when the customer enters the line until he or she reaches the teller window) to increase customer satisfaction. A random sample of 15 customers is selected and waiting times(in minutes) are collected and stored in the Bank 1 column. Another branch, located in a residential area, is also concerned with the noon-to-1 p.m. lunch period. A random sample of 15 customers is selected and waiting times (in minutes) are collected and stored in the Bank 2 column.

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.)

b. Determine the p-value in (a) and interpret its meaning.

c.Construct and interpret a 95% confidence interval estimate of the difference between the population means in the two branches.

Observation | Bank1 | Bank2 |

1 | 4.21 | 9.66 |

2 | 5.55 | 5.9 |

3 | 3.02 | 8.02 |

4 | 5.13 | 5.79 |

5 | 4.77 | 8.73 |

6 | 2.34 | 3.82 |

7 | 3.54 | 8.01 |

8 | 3.20 | 8.35 |

9 | 4.50 | 10.49 |

10 | 6.10 | 6.68 |

11 | 0.38 | 5.64 |

12 | 5.12 | 4.08 |

13 | 6.46 | 6.17 |

14 | 6.19 | 9.91 |

15 | 3.79 | 5.47 |

Answer #1

(c) **Interpretation**: If repeated samples are taken
and the 95% confidence interval was computed for each sample, 95%
of the intervals would contain the population mean difference of
waiting times of the 2 branches between 4.29 minutes and 7.11
minutes.

A bank branch located in a commercial district of a city has the
business objective of developing an improved process for serving
customers during the noon-to-1:00 P.M. lunch period. The waiting
time, in minutes, is defined as the time the customer enters the
line to when he or she reaches the teller window. Data are
collected from a sample of 15 customers during this hour. The
following is the list of time data gathered from the bank branch in
the...

A bank branch located in a commercial district of a city has the
business objective of developing an improved process for serving
customers during the noon-to-1:00 p.m. lunch period. The waiting
time, in minutes, is defined as the time the customer enters the
line to when he or she reaches the teller window. Data collected
from a sample of 15 customers during this hour are stored as
follows:
4.21, 5.5,5 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10,
0.38, 5.12,...

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...

A bank branch located in a commercial district of a city has the
business objective of improving the process for serving customers
during the noon-to-1:00 P.M. lunch period. The waiting time
(defined as the time the customer enters the line until he or she
reaches the teller window) of a random sample of 15 customers is
collected. The bank wants to determine if the mean waiting time is
less than 5 minutes. Results found that the mean waiting time was...

A bank branch located in a commercial district of a city has the
business objective of improving the process for serving customers
during the noon-to-1:00 P.M. lunch period. The waiting time is
defined as the time the customer enters the line until he or she
reaches the teller window. The bank wants to determine if the mean
waiting time is less than 5 minutes. A random sample of 15
customers is selected. Results found that the sample mean waiting
time...

A bank branch located in a commercial district of a city has
developed an improved process for serving customers during the
noon-1:00pm lunch period. The waiting time of all customers during
this hour is recorded over the period of a week. A random sample of
30 customers is selected and their waiting time is recorded (see
data file Bank 1). At the 0.05 level of significance is there
evidence that the population mean waiting time is less than 5
minutes?...

Suppose a bank? branch, located in a residential? area, is
concerned with its service during the? noon-to-1 pm lunch hour. The
waiting? times, in? minutes, collected from a sample of 15
customers during this? hour, are listed below. Complete parts? (a)
through? (d) below.
9.58 5.94 8.05 5.82 8.77 3.91 8.11 8.42 10.56 6.72 5.73 4.14
6.23 9.86 5.41
a. Compute the mean and median.
The mean is
?(Round to two decimal places as? needed.)
The median is
?(Type an...

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