The mean number of eggs per person eaten in the United States is 252 and the standard deviation is 68. Do college students eat more than the average? The 45 college students surveyed averaged 281 eggs per person. What can be concluded at the 0.05 level of significance? H0: = 252 Ha: _____________ 252 Test statistic: __________ p-Value =__________ Reject/Fail to reject H0?______________ Conclusion: There is____________ evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year. p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________ and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________ . Level of significance interpretation: If the mean number of eggs consumed per year for college students is equal to ___________ and if many studies are done each with a new group of 45 randomly selected college students then___________ percent of these studies would result in the false conclusion that the mean number of eggs consumed by college students is more than 252.
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.
The
H0: = 252
Ha: _____________ 252
Test statistic: __________
p-Value =__________
Reject/Fail to reject H0?______________
Conclusion: There is____________ evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year.
p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________ and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________ .
Level of significance interpretation: If the mean number of eggs consumed per year for college students is equal to ___________ and if many studies are done each with a new group of 45 randomly selected college students then___________ percent of these studies would result in the false conclusion that the mean number of eggs consumed by college students is more than 252.
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