In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartons are recorded. The results, in seconds, are shown in the following table.

Do the data provide sufficient evidence to conclude that, on the average, the new machine packs faster? Perform all the required hypothesis test(s) at the 5% level of significance.

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Redstone Company Income statement S 2,080,000 Sales Less operating 1,518,400 expenses 561,600 Net operating income Less interest and taxes: $ 100,400 Interest expense Tax expense 190,944 291,344 Net income 270,256 Redstone Company Income statement Sales $ 2,080,000 Less operating 1,518,400 expenses Net operating income 561,600 Less interest and taxes: Interest expense $ 100,400 Tax expense 190,944 291,344 Net income 270,256