In: Math
A mill operator is concerned that bags are not being filled to
the stated 1000g of grain. 20 bags are randomly weighed and results
recorded. There is a sign on the machine that states "grain volumes
dispensed follow a normal distribution". a) If a one sample t-test
is used, write down the decision rule in terms of a test statistic
and calculate the value of the test statistic manually. Use 5%
level of significance. b) State the two assumptions of this test
and 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