Essentials of Statistics for the Behavioral Sciences
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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Chapter 7, Problem 19P

At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of μ. = 9 pounds with a standard deviation of σ = 6. The distribution of scores was approximately normal. A sample of n = 4 students is selected and the average weight change is computed for the sample.

  1. a. What is the probability that the sample mean will be greater than M = 10 pounds? In symbols, what is p(M > 10)?
  2. b. Of all of the possible samples, what proportion will show an average weight loss? In symbols, what is p(M < 0)?
  3. c. What is the probability that the sample mean will be a gain of between M = 9 and M = 12 pounds? In symbols, what is p(9 < M < 12)?
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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. 3LCCh. 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. 4LCCh. 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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