The following data represent the number of audience members per week at a theater in Paris during the last year. (The theater was closed for 2 weeks for refurbishment.)163 165 094 137 123 095 170 096 117 129152 138 147 119 166 125 148 180 152 149167 120 129 159 150 119 113 147 169 151116 150 110 110 143 090 134 145 156 165174 133 128 100 086 148 139 150 145 100Estimate the average weekly attendance with a 95% interval estimate.
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.
The following data represent the number of audience members per week at a theater in Paris during the last year. (The theater was closed for 2 weeks for refurbishment.)
163 165 094 137 123 095 170 096 117 129
152 138 147 119 166 125 148 180 152 149
167 120 129 159 150 119 113 147 169 151
116 150 110 110 143 090 134 145 156 165
174 133 128 100 086 148 139 150 145 100
Estimate the average weekly attendance with a 95%
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