A simple random sample of 18 people with incomes below the poverty level gives the following daily calcium intake: 686 423 743 647 734 641 993 620 574 634 850 858 992 775 1113 672 879 609 Test the claim that at the 5% significant level, the income below the poverty level is less than 800 mL. a) State the null and alternative hypothesis b) Find test statistics c) find the p-value approach d) conclusion
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 simple random sample of 18 people with incomes below the poverty level gives the following daily calcium intake:
686 423 743 647 734 641 993 620 574 634 850
858 992 775 1113 672 879 609
Test the claim that at the 5% significant level, the income below the poverty level is less than 800 mL.
a) State the null and alternative hypothesis
b) Find test statistics
c) find the p-value approach
d) conclusion
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