A researcher wishes to test the effects of excerise on the ability to complete a basic skills test. He designs a pre-test and post-test to give to each participant. You believe that there was an increase in the scores. You believe the population of the differences is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre- test. pre-test post-test 98 94 59 63 84 86 67 59 44 46 48 48 85 79 64 72 55 51 43 46 52 60 58 66 43 53 71 79 46 53 93 93 48 45 58 48 Which of the following are the correct hypotheses? Но: ра > 0 HA: Hd < 0(claim) 0 > Prl :0H HA: Hd > 0(claim) Но: Ра HA: Hd 7 0(claim) Given that a is 0.05 the critical value is 1.74 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
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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