Question

. Recall that a bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes.

Suppose the manager wishes to use the
random **sample of 75** waiting times to support the
claim that the mean waiting time under the new system is shorter
than six minutes.

- Letting μ represent the mean waiting time under the new system, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that μ is shorter than six minutes.
- The random
**sample of 75**waiting times yields a sample mean of 5.46 minutes. Assuming that the**population standard deviation equals 2.47**minutes, use critical values to test*H*_{0}versus*H*at each of α = .10, .05, .01, and .001._{a} - Using the information in part
*b*, calculate the*p*-value and use it to test*H*_{0}versus*H*at each of α = .10, .05, .01, and .001._{a} - How much evidence is there that the new system has reduced the mean waiting time to below six minutes?

Answer #1

4. A bank manager has developed a new system to reduce the time
customers spend waiting for teller service during peak hours. The
manager hopes that the new system will reduce waiting times from
the current 9 to 10 minutes to less than 6 minutes. a. Set up the
null and alternative hypotheses needed if we wish to attempt to
provide evidence supporting the claim that the mean waiting time is
shorter than six minutes. b. The mean and the...

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