A researcher wanted to check whether the BMI of Canadian adults with obesity has increased in 2009 compared to 2005. He used Health Canada data. A randomly selected 24 Canadian adults from 2005 data gave a mean of 26.4 and a standard deviation of 1.6; A randomly selected 21 Canadian adults from 2009 data gave a mean of 26.7 with a standard deviation of 1.6. BMI is normally distributed in each year with the same variance. He wants to develop a 90% confidence interval for the change in BMI. Let population1 be 2005 data and population2 be 2009 data. Write down the critical value
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.
5.
A researcher wanted to check whether the BMI of Canadian adults with obesity has increased in 2009 compared to 2005. He used Health Canada data. A randomly selected 24 Canadian adults from 2005 data gave a mean of 26.4 and a standard deviation of 1.6; A randomly selected 21 Canadian adults from 2009 data gave a mean of 26.7 with a standard deviation of 1.6. BMI is
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