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ochrebear287Lv1
9 Sep 2020
2. A new method is developed to determine the content of sodium
in a biscuit sample. Student A gets the following results: 24.2,
23.9, 25.0, 23.7 and 25.2 mg, while student B obtains 22.6, 21.9,
23.2 and 23.1 mg.
(a) Report 95% confidence interval of their results
individually. Why the standard deviations are non-zero?
(b) At the 95% confidence level, does one of them get more
reproducible measurements?
(c) At the 95% confidence level, do they obtain different
results? What about 90% confidence level?
(d) According to the manufacturer, the sodium content in the
biscuit is 24.0 mg. Comment whether student B’s results are
reliable at 90% confidence level.
(e) The results from student C are 25.3, 25.4, 24.9, 25.0, 23.2
and 24.5 mg. Determine whether there is an outlier at the
confidence level of 95%? What about 90%?
2. A new method is developed to determine the content of sodium
in a biscuit sample. Student A gets the following results: 24.2,
23.9, 25.0, 23.7 and 25.2 mg, while student B obtains 22.6, 21.9,
23.2 and 23.1 mg.
(a) Report 95% confidence interval of their results
individually. Why the standard deviations are non-zero?
(b) At the 95% confidence level, does one of them get more
reproducible measurements?
(c) At the 95% confidence level, do they obtain different
results? What about 90% confidence level?
(d) According to the manufacturer, the sodium content in the
biscuit is 24.0 mg. Comment whether student B’s results are
reliable at 90% confidence level.
(e) The results from student C are 25.3, 25.4, 24.9, 25.0, 23.2
and 24.5 mg. Determine whether there is an outlier at the
confidence level of 95%? What about 90%?
15 Jun 2022
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