The following are the P/E ratios (price of stock divided by projected earnings per share) for 20 banks. 31, 19, 23, 38, 29, 14, 50, 18, 43, 18, 14, 21, 22, 23, 20, 29, 22, 18, 15, 22 Send data to calculator Send data to Excel Find 25™ and 80™ percentiles for these ratios. (If necessary, consult a list of formulas.) (a) The 25th percentile: (b) The 80th percentile: I
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.
![Three students want to estimate the mean word length of the same book.
To do this, each student randomly chose 4 words from the book and recorded their lengths. The samples are shown in the table.
|(a) Fill in the sample means in the table.
Do not round your answers.
Sample Word length (number of letters) Sample mean
1
4, 2, 4, 5
2
3, 6, 3, 2
3
3, 3, 6, 5
(b) Use the table to calculate the range of the sample means.
Range of sample means: ]
(c) The students are going to use the sample means to estimate the mean word length in the book.
Select all the true statements below.
The mean of the sample means will tend to be a worse estimate than a single sample mean.
A single sample mean will tend to be a worse estimate than the mean of the sample means.
The closer the range of the sample means is to 0, the more confident they can be in their estimate.
O The farther the range of the sample means is from 0, the more confident they can be in their estimate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc55fcb69-81a7-46f9-a060-78daecb2e1d3%2F585a1520-850d-45b1-a92d-b001da13cc7e%2F78zv2v_processed.png&w=3840&q=75)
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