Question H According to a recent study, the carapace length for adult males of a certain species of tarantula are norma with a mean of u = 17.08 mm and a standard deviation of o = 1.57 mm. Complete parts (a) through (d) belov Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is 15.17 %. (Type an integer or decimal rounded to two decimal places as needed.) b. Find the percentage of the tarantulas that have a carapace length exceeding 18 mm. The percentage of the tarantulas that have a carapace length exceeding 18 is 27.76 %. (Type an integer or decimal rounded to two decimal places as needed.) c. Determine and interpret the quartiles for the carapace length of these tarantulas. The first quartile is (Type an integer or decimal rounded to two decimal places as needed.)

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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.