answrs to 4d 4e 34. In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on theaverage than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartonsare recorded. The results, in seconds, are shown in the following table. Now, we suppose that packing time isnormally distributed with mean and two populations have the same unknown standard deviations (For R, you can use-4 packingtime.csv)5AssumeNew42.141.342.443.241.84141.842.842.342.7MachineOld42.743.842.543.14443.643.343.541.744.17 Machine81 (a) What is the degrees of freedom in this case? (We call it the pooled two-samplet procedure)23 (b) What is the pooled standard deviation, Sp? (Round it to two decimal places)5 (c) What is the pooled two-samplet statistic? (Round it to two decimal places)=7 (d) What is the P-value of the test?8(e) At 5% significance level, what is your conclusion of the test? (statistical conclusion and its interpretation).:9

Name: answrs to 4d 4e 34. In a packing plant, a machine packs cartons with j
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Description: answrs to 4d 4e 34. In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on theaverage than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartonsa