A researcher in Scotland is interested in analyzing local ancient folklore. He creates a test with several questions and grading that indicates if people still believe in old tales. The score is on a scale of 0 to 100. A score above 75 is considered to be enough evidence to say the people believers. He then proctors the test to 178 people and gets a score of 76 with a standard deviation of 8.5 . At the 6% level of significance test the claim that people are still believers in their Scottish folklore. (i) display the hypothesis structure, identify the claim and the test type. ( ii) find the clearly identify the p-value, indicate if the null hypothesis should be rejected or not and indicate if the claim should be rejected or not.
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 researcher in Scotland is interested in analyzing local ancient folklore. He creates a test with several questions and grading that indicates if people still believe in old tales. The score is on a scale of 0 to 100. A score above 75 is considered to be enough evidence to say the people believers. He then proctors the test to 178 people and gets a score of 76 with a standard deviation of 8.5 . At the 6% level of significance test the claim that people are still believers in their Scottish folklore. (i) display the hypothesis structure, identify the claim and the test type. ( ii) find the clearly identify the p-value, indicate if the null hypothesis should be rejected or not and indicate if the claim should be rejected or not.
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