A researcher is interested in studying the maximum amount of time students can pay attention during an online Zoom session during a summer Statistics course before going insane. The following 16 values were recorded (in minutes): 151.0 101.3 80.3 53.5 93.1 107.0 128.5 98.3 85.0 142.0 94.1 90.4 115.8 71.2 114.9 82.6 The data is provided: 151.0 101.3 80.3 53.5 93.1 107.0 128.5 98.3 85.0 142.0 94.1 90.4 115.8 71.2 114.9 82.6 Note: the sample size is less than 30 and we have no idea about the normality of the data! The researcher believes it is reasonable to assume that a deviation from 105 minutes of any particular magnitude is just as likely to be positive as negative. She wants to test this with 95% confidence. What is the associated p-value? (three 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.
A researcher is interested in studying the maximum amount of time students can pay attention during an online Zoom session during a summer Statistics course before going insane. The following 16 values were recorded (in minutes):
| 151.0 | 101.3 | 80.3 | 53.5 | 93.1 | 107.0 | 128.5 | 98.3 |
| 85.0 | 142.0 | 94.1 | 90.4 | 115.8 | 71.2 | 114.9 | 82.6 |
The data is provided: 151.0 101.3 80.3 53.5 93.1 107.0 128.5 98.3 85.0 142.0 94.1 90.4 115.8 71.2 114.9 82.6
Note: the
The researcher believes it is reasonable to assume that a deviation from 105 minutes of any particular magnitude is just as likely to be positive as negative. She wants to test this with 95% confidence.
What is the associated p-value? (three decimals)
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