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24 May 2019

Hi - could someone please assist me with this question? It's giving me nightmares......thanks

Historically, the average waiting time spent in a queue on Friday afternoon at a bank's city branch was 10 minutes. To determine whether their new multi-queuing system constitutes an improvement, a random sample of 15 customers was taken and their waiting time recorded. The results are in the X1 column of the datafile P14.12. Assume the distribution of waiting times is normally distributed.

1. State the direction of the alternative hypothesis used to test whether there is an improvement in average waiting time. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as required in the box.


2. Calculate the test statistic correct to three decimal places (hint: use Descriptive Statistics to calculated the standard deviation and sample mean).


3. Use Kaddstat to determine the p-value for the test correct to four decimal places.


4. Is the null hypothesis rejected for this test if a 10% level of significance is used? Type yes or no.


5. Disregarding your answer for 4, if the null hypothesis was rejected, could we conclude that the average waiting time has improved with the new queuing system? Type yes or no.

DATA FILE

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Collen Von
Collen VonLv2
26 May 2019

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