Directions: Show all work, neatly written. Show all 5 steps in the testing process for thehypothesis tests.

---~"~way. :41 \"AZ 3. In a packing plant. a mac machine will determine wh cartons are hine packs cartons with jars. It is supposed that a new Pack faster on the average than the machine currently used. TO ether this is the case, the times it takes each machine to pack ten recorded. The results, in seconds, are shown in the following table. _ e interval for the mean time required to pack the boxes usmg the new machine. c. Do the confidence intervals provide evidence that the new machine packs boxes more quickly than the old machine? Explain. using the results of (a) and (b). 4. The Trial Urban District Assessment (TUDA) is a study sponsored by the government of student achievement in large urban school district. In 2009, 1311 of a random sample of 1900 eighth-graders from Houston performed at or above the basic level in mathematics. In 2011, 1440 of a random sample of 2000 eighth-graders from Houston performed at or above the basic level. a. Construct a 99% confidence interval for the proportion of eighth~graders from Houston in 2009 that performed at or above the basic level in mathematics. b. Construct a 99% confidence interval for the proportion of eighth-graders from Houston in 2011 that performed at or above the basic level in mathematics. 0. Does this data support the premise that the proportion of eighth-grad from Houston that performed at or above the basic level in ' 1t ' increased from 2009 to 2011? Explain, using the res?"