Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 7 8 Upper X Subscript iXi 52.152.1 47.447.4 47.647.6 47.347.3 47.347.3 47.447.4 48.848.8 49.249.2 Upper Y Subscript iYi 53.953.9 48.148.1 49.749.7 51.251.2 48.548.5 49.849.8 52.152.1 48.448.4 (a) Determine d Subscript i Baseline equals Upper X Subscript i Baseline minus Upper Y Subscript idi=Xi−Yi for each pair of data. Observation 1 2 3 4 5 6 7 8 di nothing nothing nothing nothing nothing nothing nothing nothing (Type integers or decimals.)
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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Observation
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1
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2
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3
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4
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5
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6
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7
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8
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Upper X Subscript iXi
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52.152.1
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47.447.4
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47.647.6
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47.347.3
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47.347.3
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47.447.4
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48.848.8
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49.249.2
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Upper Y Subscript iYi
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53.953.9
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48.148.1
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49.749.7
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51.251.2
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48.548.5
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49.849.8
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52.152.1
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48.448.4
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Observation
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1
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2
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3
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4
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5
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6
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7
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8
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di
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nothing
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nothing
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nothing
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nothing
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nothing
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nothing
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nothing
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nothing
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