2. Kale is a type of cabbage commonly found in salad and used in cooking in many

Question

2. Kale is a type of cabbage commonly found in salad and used in cooking in many parts of the world. Six measurements were made of the mineral content (in percent) of kale, with the following results It turns out that the value, 26.1, came from a specimen that the investigator forgot to wash before measuring. Because we can identify an error that occurred causing the outlier, it is justifiable to eliminate it. Eliminate the outlier and construct a 95% confidence interval for the population mean value of the % mineral content of kale. You may assume that the conditions needed to use the t-distribution are approximately satisfied

Explanation / Answer

Ooutliers -

Q1 - 1.5 X IQR

Q3 + 1.5 X IQR

For the given data, Q1 is 15.1 and Q3 is 17.5.

IQR is 2.4

Therefore, outlier is 26.1

mu = M +/- Z (Sm)

= 15.44 +/- 1.96*0.78

= 15.44 +/- 1.534

95% CI [13.906, 16.974].

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