A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product—sliced apples—was packaged to appeal to children. The researchers showed the packaging to a sample of 365 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1="not willing at all" and 5="very willing." The data are summarized as x=3.38 and s=2.57. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is μ=3. Complete parts a and b below.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food
packaged to appeal to children. The researchers showed the packaging to a sample of
school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with
willing at all" and
willing." The data are summarized as
and
Suppose the researchers knew that the
Complete parts a and b below.
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