Sodium in Breakfast Cereal. Use the following information for Exercises 78–83. A random sample of 23 breakfast cereals containing sodium had a mean sodium content per serving of 192.39 grams. Assume that the population standard deviation equals 50 grams. We are interested in whether the population mean sodium content per serving is less than 210 grams.

Question 9.185

79. Assuming that the normal probability plot shows acceptable normality, we will test whether the population mean sodium content per serving is less than 210 grams, using level of significance .

  1. State the hypotheses and the rejection rule. Make sure you state the meaning of .
  2. Calculate .
  3. Find the -value. Draw a normal probability curve indicating and the -value.
  4. State the conclusion and the interpretation.

9.3.79

(a) , where refers to the population mean sodium content per serving of breakfast cereal. We will reject if the . (b) . (c)

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(d) The is not . Therefore we do not reject .