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The processing time for the shipping of packages for a company, during the holidays, were recorded...

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Question

Basic Math

The processing time for the shipping of packages for a company,during the holidays, were recorded for 48 different orders. Themean of the 48 orders is 10.5 days and the standard deviation is3.08 days. Raw data is given below. Use a 0.05 significance levelto test the claim that the mean package processing time is lessthan 12.0 days. Is the company justified in stating that packageprocessing is completed in under 12 days?

1) Write Ho (null) and H1 (alternative) and indicate which isbeing tested

2) Perform the statistical test and state your findings; Writeanswer as a statement

Days
4.4
8.8
8.2
11.5
11
15.3
10.3
10.9
4.8
13.6
8.1
4.1
12.5
9.9
11.3
13.1
13.6
7.6
10.3
11.7
8.9
4
9.5
8.1
16.3
13.7
12.4
8.6
13.8
7.1
6.9
11.3
9.9
11.8
12.2
11.4
6.2
10
12.7
11.3
13.2
12
9
10
13.3
16.8
14.9
7.7

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To Test H0 H1 Test Statistic t 33741 Test    See Answer
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