Question

The sodium content of thirty 300-gram boxes of organic corn flakes was determined. The data (in milligrams) is provided in an Excel file and are as follows:

131.15, 130.69, 130.91, 129.54, 129.64, 128.77, 130.72, 128.33, 128.24, 129.65, 130.14, 129.29, 128.71, 129.00, 129.39, 130.42, 129.53, 130.12, 129.78, 130.92, 131.15, 130.69, 130.91,129.54, 129.64, 128.77, 130.72, 128.33, 128.24, and 129.65.

(a) Can you support a claim that mean sodium content of this brand of cornflakes is 130 milligrams? Use ?=0.05 and answered it by constructing a two-sided confidence interval on the mean sodium content.

(b) Is there evidence that sodium content is normally distributed?

(c) Compute the power of the test if the true mean sodium content is 130.5 miligrams.

(d) What sample size would be required to detect a true mean sodium content of 130.1 milligrams if we wanted the power of the test to be at least 0.75?

Answer 1

Interpretation:

The above Normal probability of the sodium content data depicting that the distribution is approximately normally distributed. The sample size is 30. It means that the distribution is normal.

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