Question

In: Statistics and Probability

1. A bank manager has developed a new system to reduce the time customers spend waiting...

1. 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 the waiting time that currently is 10 minutes.

a) Formulate the hypotheses and rejection rule for this problem.

b) A random sample of 70 waiting times was obtained after the system was implemented. The sample showed a sample mean of 9.5 minutes and a standard deviation of 2.2 minutes. Obtain the p-value.

c) At alpha=.01, do you believe the new system indeed reduced the waiting time? Explain.

2. Across the states, 12.2% of all families (urban, rural, and suburban) send their children to private schools. A researcher believes that the percentage of suburban families who send their children to private schools is higher than the average for all families.

a) Formulate the hypotheses and rejection rule for this problem.

b) A nationwide sample of 1,000 suburban families showed that 162 send their children to private schools. Obtain the p-value.

c) At α = .05, would you conclude that the percentage of suburban families sending their children to private schools is higher than the percentage of all families? Explain.

Solutions

Expert Solution

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you are satisfied by my given answer. Can you please like it☺


Related Solutions

1. A bank manager has developed a new system to reduce the time customers spend waiting...
1. 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 average of 7 minutes. Assume that the population standard deviation for waiting times is 2.47 minutes. The manager takes a random sample of 100 waiting times and finds that the average waiting time for the sample is 5.46 minutes. Conduct a hypothesis test to...
A bank manager has developed a new system to reduce the time customers spend waiting for...
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 the waiting time that currently is 10 minutes. Formulate the hypotheses and rejection rule for this problem. A random sample of 70 waiting times was obtained after the system was implemented. The sample showed a sample mean of 9.5 minutes and a standard deviation of 2.2 minutes. Obtain the p-value. At...
A bank manager has developed a new system to reduce the time customers spend waiting to...
A bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The bank manager hopes that the new system will lower the average waiting time to less than six minutes. A one-month trial of the system is conducted and 25 customers have been selected and the waiting times were recorded. The sample resulted in a mean of 5.2 minutes and a standard deviation of 2.4 minutes. a-...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 100 bank customer waiting times in Table 1.9 is 5.46....
Recall that a bank manager has developed a new system to reduce the time customers spend...
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 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes. Letting μ represent the...
Recall that a bank manager has developed a new system to reduce the time customers spend...
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 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes. Letting μ represent the...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 90 bank customer waiting times is x⎯⎯ x ¯ =...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 99 bank customer waiting times is x¯ = 5.44. If...
A.) The amount of time customers spend waiting in line at a bank is normally distributed,...
A.) The amount of time customers spend waiting in line at a bank is normally distributed, with a mean of 3.5 minutes and a standard deviation of 0.75 minute. Find the probability that the time a customer spends waiting is as follows. (Round your answers to three decimal places.) less than 4 minutes less than 2 minutes B.) The breaking point of a particular type of rope is normally distributed, with a mean of 310 pounds and a standard deviation...
Bank A and Bank B have each developed an improved process for serving customers. The waiting...
Bank A and Bank B have each developed an improved process for serving customers. The waiting period from the moment a customer enters until he or she reaches the counter needs to be shortened. A random sample of 10 customers is selected from each bank and the results​ (in minutes) are shown in the accompanying data table Bank A 2.18 2.38 3.02 3.02 3.11 4.57 4.29 4.37 5.28 5.83 Bank B 3.97 4.41 4.13 5.18 5.33 6.84 6.36 8.58 8.55...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT