Answer Happy

At a large furniture and electrical store, customers usually find that the furniture on display is not held in stock. Rather than being immediately available, it must be sourced from manufacturers. In the sofa department, the average delivery time is expected to be seven weeks after purchase. In order to test whether this target is accurate, the store records the delivery times in days) taken for 50 sofa purchases. Complete parts (a) through (d). Click the icon to view the data table.

U 56 80 63 21 28 59 69 5 30 52 6 20 34 24 31 Delivery times (in days) 34 119 30 23 21 11 130 105 25 8 16 10 3 10 15 20 25 39 29 115 106 94 11 29 4 19 30 18 38 115 94 40 14 65 5

Determine the test statistic. The test statistic is a (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State the conclusion. Ho. There is evidence to conclude that the mean number of days is less than 49. b. What assumption about the population distribution is needed in order to conduct the t test in (a)? O A. The population distribution is skewed left. OB. The population distribution is approximately uniform. OC. The population distribution is skewed right. OD. The population distribution is approximately normal. c. Do you think that the assumption needed in (b) is seriously violated? Explain. Construct a normal probability plot to evaluate the assumption made in (b). Choose the correct graph below. OA OB. Normal probability Normal probability plot plot A 175- 175- a OC. Normal probability plot 1 175 Time (in days) Time (in days) Time (in days) Ü 0+ -2.5 0+ -2.5 0+ -2.5 2.5 2.5 2.5 0 Z value 0 Z value Z value Do you think that the assumption needed in (b) is seriously violated? Explain. Choose the correct answer below.