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only1 question on file (HW_04.pdf )

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The Flinders University of South Australia School of Computer Science, Engineering and Mathematics

STAT3701 STATISTICAL SCIENCE

STAT8701 STATISTICAL SCIENCE GE

Homework Exercise 4

Due: 12noon, Friday 31 March, 2017

Note that the deadline is 12noon, not 3pm

[H4.1] A manufacturing company produces bags of PVC powder. It is known that the variation in weight of bags produced by this process has a normal distribution about its target weight with a standard deviation of 1 kg.

1. What should the manufacturing company set as its target weight in order for

97.5% of its bags to have a weight of at least 100 kg?

2. A random sample of 20 bags was weighed with the following results in kg.

101.26 99.76 98.96 100.36 98.94

98.82 98.51 100.97 101.04 100.31

98.24 100.58 100.20 99.28 99.04

99.95 99.34 99.54 97.89 97.98

Determine a 95% confidence interval for process’s actual average bag weight

3. A government inspector wishes to investigate the average weight of bags being produced by this manufacturing company. If a 95% confidence interval for the process’s actual average bag weight of width no more than 0.2 kg is required, what is the minimum number of bags that need to be sampled by the government inspector?

* * * * * * *

only1 question on file (HW_04.pdf )

ONLY ONE QUESTION

Detailed explanation

The Flinders University of South Australia School of Computer Science, Engineering and Mathematics

STAT3701 STATISTICAL SCIENCE

STAT8701 STATISTICAL SCIENCE GE

Homework Exercise 4

Due: 12noon, Friday 31 March, 2017

Note that the deadline is 12noon, not 3pm

[H4.1] A manufacturing company produces bags of PVC powder. It is known that the variation in weight of bags produced by this process has a normal distribution about its target weight with a standard deviation of 1 kg.

1. What should the manufacturing company set as its target weight in order for

97.5% of its bags to have a weight of at least 100 kg?

2. A random sample of 20 bags was weighed with the following results in kg.

101.26 99.76 98.96 100.36 98.94

98.82 98.51 100.97 101.04 100.31

98.24 100.58 100.20 99.28 99.04

99.95 99.34 99.54 97.89 97.98

Determine a 95% confidence interval for process’s actual average bag weight

3. A government inspector wishes to investigate the average weight of bags being produced by this manufacturing company. If a 95% confidence interval for the process’s actual average bag weight of width no more than 0.2 kg is required, what is the minimum number of bags that need to be sampled by the government inspector?

* * * * * * *

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