Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Videos

Textbook Question

Chapter 8.5, Problem 12P

Basic Computation: Testing μ₁ ‒ μ₂ Two populations have normal distributions. The first has population standard deviation 2 and the second has population standard deviation 3. A random sample of 16 measurements from the first population had a sample mean of 20. An independent random sample of 9 measurements from the second population had a sample mean of 19. Test the claim that the population mean of the first population exceeds that of the second. Use a 5% level of significance.

(a) Check Requirements What distribution does the sample test statistic follow? Explain.
(b) State the hypotheses.
(c) Compute x ¯ ₁ ‒ x ¯ ₂ and the corresponding sample distribution value.
(d) Find the P-value of the sample test statistic.
(e) Conclude the test
(f) Interpret 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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 11P

Chapter 8.5, Problem 13P

Students have asked these similar questions

30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 48 college students are randomly selected, find the probability thata. Exactly 12 of them major in STEM. b. At most 17 of them major in STEM. c. At least 12 of them major in STEM. d. Between 9 and 13 (including 9 and 13) of them major in STEM.

7% of all Americans live in poverty. If 40 Americans are randomly selected, find the probability thata. Exactly 4 of them live in poverty. b. At most 1 of them live in poverty. c. At least 1 of them live in poverty. d. Between 2 and 9 (including 2 and 9) of them live in poverty.

48% of all violent felons in the prison system are repeat offenders. If 40 violent felons are randomly selected, find the probability that a. Exactly 18 of them are repeat offenders. b. At most 18 of them are repeat offenders. c. At least 18 of them are repeat offenders. d. Between 17 and 21 (including 17 and 21) of them are repeat offenders.

Chapter 8 Solutions

Understandable Statistics: Concepts and Methods

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Solution Summary: The author explains the distribution of the sample tests statistic normal distribution.

Concept explainers

Videos

Want to see the full answer?

Chapter 8 Solutions