The data show the number of hours spent studying per day by a sample of 28 students. Use the box-and-whisker plot below to answer parts (a) through (c) below. 1 11 9 3 9 1 9 5 0 9 4 7 5 3 6 8 6 3 1 7 5 5 2 7 4 3 0 9 (a) About 75% of the students studied no more than how many hours per day? About 75% of the students studied no more than ______ hours per day. (Type an integer or decimal rounded to one decimal place as needed.) (b) What percent of the students studied more than 5 hours per day? About____ (a)50% (b)10% (c)60% (d)90% (e)40% (f)75% (g)25% of the students studied more than 5 hours per day. (c) You randomly select one student from the sample. What is the likelihood that the student studied less than 3 hours per day? The likelihood of this event is about (a) 60% (b) 10% (c) 25% (d) 40% (e) 50% (f) 90% (g) 75%
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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hours per day.
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