Is the nutritional information listed on food items accurate? Researchers randomly sampled 12 frozen inners of a certain type from production during a particular period. The calorie content was determined. The stated calorie content on the package was 240 calories. Researchers wanted to determine if this was not accurate using the one-sample z-methods. Which of the following statements is true?
A. The distribution of sample means will be normal only if the population data (i.e. calorie content of all frozen dinners of this type produced during this particular period) follow normal distribution.
B. The distribution of sample means will be normal regardless of the shape of the data in the population (i.e. calorie content of all frozen dinners of this type produced during this particular period).
C. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed.
D. The distribution of sample means will not be normal regardless of the shape of the data in the population because the sample size is less than 30.