A project company hired 1000 casual employees to undertake a major housing project. On average (daily basis) these workers take 8 hours to complete a given task with a s.d deviation of 2 hours. If completion time is normally distributed, determine the no. of workers who completed the task in:- More than 13.5 hours Between 6.5 hours and 14.5 hours Between 2.5 hours and 5.8 hours Between 14.4 hours and 14.8 hours b. From the following data of marks obtained by 12 students in Research and Statistics, calculate the correlation coefficient by the Spearman rank correlation method and comment on the result. Marks in Research: 53 65 70 68 53 69 77 65 29 65 77 53 Marks in Statistics: 50 50 55 53 58 78 70 48 50 63 68 52
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. A project company hired 1000 casual employees to undertake a major housing project. On average (daily basis) these workers take 8 hours to complete a given task with a s.d deviation of 2 hours. If completion time is
More than 13.5 hours
Between 6.5 hours and 14.5 hours
Between 2.5 hours and 5.8 hours
Between 14.4 hours and 14.8 hours
b. From the following data of marks obtained by 12 students in Research and Statistics, calculate the
Marks in Research: 53 65 70 68 53 69 77 65 29 65 77 53
Marks in Statistics: 50 50 55 53 58 78 70 48 50 63 68 52
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