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A mill operator is concerned that bags are not being filled to the stated 1000g of...

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Basic Math

A mill operator is concerned that bags are not being filled tothe stated 1000g of grain. 20 bags are randomly weighed and resultsrecorded. There is a sign on the machine that states \"grain volumesdispensed follow a normal distribution\". a) If a one sample t-testis used, write down the decision rule in terms of a test statisticand calculate the value of the test statistic manually. Use 5%level of significance. b) State the two assumptions of this testand their likely validity.

Bag Weight
1,968.22
2,918.98
3,942.76
4,1024.02
5,988.96
6,1057.26
7,987.28
8,970.06
9,947.76
10,1003.18
11,1005.7
12,1076.16
13,931.36
14,990.06
15,950.64
16,1058.82
17,1036.26
18,928.64
19,898.16
20,978.54

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