The average number of words in a romance novel is 64,473 and the standard deviation is 17,179. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible. b. Find the proportion of all novels that are between 47,294 and 59,319 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 40% of romance novels have from words to words. (Round to the nearest word)
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 average number of words in a romance novel is 64,473 and the standard deviation is 17,179. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.
b. Find the proportion of all novels that are between 47,294 and 59,319 words.
c. The 95th percentile for novels is words. (Round to the nearest word)
d. The middle 40% of romance novels have from words to words. (Round to the nearest word)
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