A bank Manager developed a new System to reduce the time customers spend waiting for a teller service during peak hours. The Manager hopes that the new system will reduce the waiting time from the current 9 to 10 minutes to less than 6 minutes. Suppose that the Manager wishes to use the 100 waiting times to support the claim that the mean waiting time under new system is shorter than 6 minutes. a) Letting µ represent the mean waiting time under the new system, set up the null hypothesis and alternative hypothesis needed if we want to attempt to provide evidence supporting claim that µ is shorter than 6 minutes. b) In the context of this situation interpret making a type I error, interpret making a type II error.
A bank Manager developed a new System to reduce the time customers spend waiting for a teller
service during peak hours. The Manager hopes that the new system will reduce the waiting time
from the current 9 to 10 minutes to less than 6 minutes. Suppose that the Manager wishes to use
the 100 waiting times to support the claim that the mean waiting time under new system is shorter
than 6 minutes.
a) Letting µ represent the mean waiting time under the new system, set up the null
hypothesis and alternative hypothesis needed if we want to attempt to provide evidence
supporting claim that µ is shorter than 6 minutes.
b) In the context of this situation interpret making a type I error, interpret making a type II
error.
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