A study was conducted to examine the difference in mean cholesterol levels in the blood of men and women and cholesterol levels were measured in 10 women and 10 men. The results were entered into R and the R code and output can be seen below. > tapply(chol$mael,chol$sex,mean) men women 219.2115 195.1774 > tapply(chol$mael,chol$sex,var) Men women 90.69332 82.62161 Let's call group of men group 1 and group of women group 2. Which of the following is correct based on the information provided? μ1 = 219.2115 σ1 = 90.69332 s1 = 9.523304 None of the above is true I do not know.
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 study was conducted to examine the difference in mean cholesterol levels in the blood of men and women and cholesterol levels were measured in 10 women and 10 men. The results were entered into R and the R code and output can be seen below.
> tapply(chol$mael,chol$sex,mean)
men women
219.2115 195.1774
> tapply(chol$mael,chol$sex,var)
Men women
90.69332 82.62161
Let's call group of men group 1 and group of women group 2.
Which of the following is correct based on the information provided?
- μ1 = 219.2115
- σ1 = 90.69332
- s1 = 9.523304
- None of the above is true
- I do not know.
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