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9th Edition

Frederick J Gravetter + 2 others

Publisher: Cengage Learning

ISBN: 9781337098120

Chapter 7, Problem 12P

Textbook Problem

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A normal distribution has a mean of μ = 54 and standard deviation of σ = 6.

What is the probability of randomly selecting a score less then *X* = 51?

What is the probability of selecting a sample of n = 4 scores with a mean less than *M* = 51?

c. What is the probability of selecting a sample of n = 36 scores with a mean less than M – 51?

**a.**

To determine

The probability of randomly selecting a score less than

Population mean is

Population standard deviation is

Random score given is

**Calculation:**

If

Let *p* represents the probability that random score is less than 51.

**Software procedure:**

Step-by-step procedure to obtain the

- Click on first empty block of data view

**b.**

To determine

The probability of selecting a sample of

**c.**

To determine

The probability of selecting a sample of

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

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Ch. 7.1 - If all the possible random samples, each with n =...Ch. 7.1 - All the possible random samples of size n = 2 are...Ch. 7.1 - If all the possible random samples of size n = 25...Ch. 7.2 - If random samples, each with n = 4 scores, are...Ch. 7.2 - If random samples each with n = 9 scores, are...Ch. 7.2 - A sample of n = 4 scores has a standard error of...Ch. 7.3 - A sample of n = 16 scores is obtained from a...Ch. 7.3 - A random sample of n = 4 scores is obtained from a...Ch. 7.3 - A random sample of n = 4 scores is obtained from a...Ch. 7.4 - Which of the following would cause the standard...

Ch. 7.4 - A sample obtained from a population with = 10 has...Ch. 7.4 - A random sample is selected from a population with...Ch. 7.5 - A sample is obtained from a population with = 100...Ch. 7.5 - For a normal population with = 80 and = 20,...Ch. 7.5 - For a sample selected from a normal population...Ch. 7 - Briefly define each of the following: a....Ch. 7 - A sample is selected from a population with a mean...Ch. 7 - Describe the distribution of sample means (shape,...Ch. 7 - Under what circumstances is the distribution of...Ch. 7 - A random sample is selected from a population with...Ch. 7 - For a sample of n = 16 scores, what is the value...Ch. 7 - For a population with a mean of = 40 and a...Ch. 7 - A sample of n - 25 scores has a mean of M - 68...Ch. 7 - A population forms a normal distribution with a...Ch. 7 - Scores on a standardized reading test for...Ch. 7 - Scores from a questionnaire measuring social...Ch. 7 - A normal distribution has a mean of = 54 and...Ch. 7 - A population has a mean of = 30 and a standard...Ch. 7 - For random samples of size n = 16 selected from a...Ch. 7 - The distribution exam grades for an introductory...Ch. 7 - By definition, jumbo shrimp are those that require...Ch. 7 - For a population with a mean of = 72 and a...Ch. 7 - For a population with = 16, how large a sample is...Ch. 7 - If the population standard deviation is = 10, how...Ch. 7 - Junes, Thomas, and Piper (2003) conducted a study...Ch. 7 - A normal distribution has a mean of = 60 and a...Ch. 7 - A random sample is obtained from a normal...Ch. 7 - A sample of n= 36 scores is selected from a normal...

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