1. The normality of a solution of sodium hydroxide as determined by an ‘analyst’ by six different titrations are found to be 0.5018, 0.5047, 0.5062, 0.5039, 0.5056 and 0.5038. Calculate the mean, median, average deviation, standard deviation and coefficient of variation 2. If the mean of 12 determinations = 9.59, and the true value = 9.03, find out whether or not this result is significant provided the standard deviation(s) is 0.16. Use student t-test to determine the following: a. P values for 10%, 5% and 1% b. Is the method used reliable?
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.
1. The normality of a solution of sodium hydroxide as determined by an ‘analyst’ by six different titrations are found to be 0.5018, 0.5047, 0.5062, 0.5039, 0.5056 and 0.5038. Calculate the
2. If the mean of 12 determinations = 9.59, and the true value = 9.03, find out whether or not this
result is significant provided the standard deviation(s) is 0.16. Use student t-test to determine
the following:
a. P values for 10%, 5% and 1%
b. Is the method used reliable?
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