The manager of Tile Central believes that the Mt Vernon store is more profitable in terms of weekly Show more The manager of Tile Central believes that the Mt Vernon store is more profitable in terms of weekly profit per full-time employee than the Cleveland store. Random samples of size 10 and 15 accounting records for Clayfield and Virginia respectively were taken. These yielded average weekly profit per full-time employee results for Clayfield and Virginia of $273.50 and $296.44 respectively and variances of 730.15 and 904.26 dollars squared. It is assumed that the population variances are the same and the distribution of weekly profit per full time employee for both stores closely approximates a normal distribution. Use alpha=0.05. 1. If the hypotheses are to be written as Clayfield minus Virginia what is the direction of the alternative hypothesis? Type the letters gt (greater than) ge (greater than or equal to) lt (less than) le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Determine the standard error for the difference between means reporting your answer to three decimal places. 3. Calculate the test statistic reporting your answer to two decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. 5. Regardless of your answer for 4 if the null hypothesis was rejected would the managers claim appear to be valid at the 5% level? Type yes or no. Show less