4. The principal claimed that the student IQ in the school was 78. A random sample of 20 students was tested and showed mean score of 85, with a standard deviation of 8. Is this group significantly higher in IQ at the.01 level of significance? 5. The diameter of 110 tin cans by SIMBA Co. averaged 16.5 cms. with a standard of 2.54 cms. Is the diameter of the group significantly lower than the length of the diameter of the tin cans which is 20 cms.? 6. The average weight of a can of milk produced by TIBA Co. is 2.3 kgs. A random sample of 15 cans of milk was weighed and showed a mean weight of 2 kgs. with a standard deviation of 0.13 kgs. Test the hypothesis that the mean weight of these cans is lesser than what is standard at the .01 level of significance. 7. A random sample of 10 drinks from a soft drink machine was an average content of 18.9 deciliters with a standard deviation if 2.38 deciliters. Determine at the .05 level of significance if this group is significantly different from the population with a mean of 21 deciliter.
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.
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