Essentials of Statistics for the Behavioral Sciences

8th Edition

ISBN: 9781133956570

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Textbook Question

Chapter 7, Problem 14P

The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of μ = 70 and a standard deviation of σ = 10.

a. What proportion of the students in the state have scores less than X = 75?
b. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 75?
c. If samples of n = 25 are selected from the population, what proportion of the samples will have means less than M = 75?

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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Chapter 7 Solutions

Essentials of Statistics for the Behavioral Sciences

Ch. 7.2 - A population has a mean of = 65 and a standard...Ch. 7.2 - Describe the relationship between the sample size...Ch. 7.2 - For a population with of = 40 and a standard...Ch. 7.3 - A sample is selected from a population with a mean...Ch. 7.3 - What is the probability of obtaining a sample mean...Ch. 7.3 - What are the boundaries for the middle 50% of all...Ch. 7.4 - If a sample is selected from a population with a...Ch. 7.4 - Can the value of the standard error ever be larger...Ch. 7.4 - Prob. 3LC Ch. 7.4 - Prob. 4LC

Ch. 7.5 - A population forms a normal distribution with a...Ch. 7.5 - A population forms a normal shaped distribution...Ch. 7.5 - The SAT scores for the entering freshman class at...Ch. 7.5 - Prob. 4LC Ch. 7 - Describe the distribution of sample means (shape,...Ch. 7 - A sample is selected from a population with a mean...Ch. 7 - The distribution of sample means is not always a...Ch. 7 - A population has a standard deviation of = 24. a....Ch. 7 - For a population with a mean of = 70 and a...Ch. 7 - For a population with a standard deviation of =...Ch. 7 - For a population with = 12, how large a sample is...Ch. 7 - For a sample of n = 25 scores, what is the value...Ch. 7 - For a population with a mean of = 80 and a...Ch. 7 - A sample of n = 4 scores has a mean of M = 75....Ch. 7 - A normal distribution has a mean of = 60 and a...Ch. 7 - A random sample is obtained from a normal...Ch. 7 - The population of IQ scores forms a normal...Ch. 7 - The scores on a standardized mathematics test for...Ch. 7 - A normal distribution has a mean of = 54 and...Ch. 7 - A population of scores forms a normal distribution...Ch. 7 - For random samples of size n = 25 selected from a...Ch. 7 - The distribution ages for students at the state...Ch. 7 - At the end of the spring semester, the Dean of...Ch. 7 - Jumbo shrimp are those that require 10 to 15...Ch. 7 - The average age for licensed drivers in the county...Ch. 7 - Callahan (2009) conducted a study to evaluate the...Ch. 7 - Xu and Garcia (2008) conducted a research study...

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