# Is the null hypothesis rejected for this test if a 10% level of significance is used?

Histor Show more Hi could someone please assist me with this question? Its giving me nightmares thanks Historically the average waiting time spent in a queue on Friday afternoon at a banks 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 Y X1 X2 28 12.6 134 43 11.4 126 45 11.5 143 49 11.1 152 57 10.4 143 68 9.6 147 74 9.8 128 81 8.4 119 82 8.8 130 86 8.9 135 101 8.1 141 112 7.6 123 114 7.8 121 119 7.4 129 124 6.4 135 Show less 