People end up tossing 12% of what they buy at the grocery store (reader’s digest, March2009). Assume this is the true population proportion and that you plan to take a samplesurvey of 540 grocery shoppers to further investigate their behavior.a. Show the sampling distribution of p, the proportion of groceries thrown out by yoursample respondents.b. What is the probability that your survey will provide a sample proportion within ±.03of the population proportion?
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.
People end up tossing 12% of what they buy at the grocery store (reader’s digest, March
2009). Assume this is the true population proportion and that you plan to take a sample
survey of 540 grocery shoppers to further investigate their behavior.
a. Show the sampling distribution of p, the proportion of groceries thrown out by your
sample respondents.
b. What is the probability that your survey will provide a sample proportion within ±.03
of the population proportion?
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