Answered: Number of Words in a Novel The National…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Number of Words in a Novel The National Novel Writing Association states that the average novel is at least 50,000 words. A particularly ambitious writing club at a college-preparatory high school had randomly selected members with works of the following lengths. At α = 0.01, is there sufficient evidence to conclude that the mean length is greater than

50,000 words? Use the P-value method. Assume that the population is approximately normally distributed. Use a TI-83 Plus/TI-84 plus calculator.

48,979

49,099

52,913

48,974

50,418

51,970

52,507

(a) State the hypotheses and identify the claim.

(b) Find the P-value. Round the answer to at least four decimal places.

(d) Summarize the results.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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