PRACT STAT W/ ACCESS 6MO LOOSELEAF
PRACT STAT W/ ACCESS 6MO LOOSELEAF
4th Edition
ISBN: 9781319215361
Author: BALDI
Publisher: Macmillan Higher Education
Question
Book Icon
Chapter 14, Problem 14.1AYK

a)

To determine

To find: The standard deviation of the sampling distribution.

a)

Expert Solution
Check Mark

Answer to Problem 14.1AYK

The standard deviation is 0.40.

Explanation of Solution

Given:

Population mean (µ)

Standard deviation (s) = 8

Sample size ( n ) = 400

Calculation:

The standard deviation of the sampling distribution is calculated as:

  σ=σn=8400=0.40

Thus, the standard deviation is 0.40.

b)

To determine

To construct: A normal curve that explains the variability of PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 14, Problem 14.1AYK , additional homework tip  1 in many samples for the -provided population. Also, find the missing number using the 68-99-99.7 rule

b)

Expert Solution
Check Mark

Explanation of Solution

Graph:

The figure could be constructed as:  PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 14, Problem 14.1AYK , additional homework tip  2

Calculation:

The margin of error could be constructed as:

  2×σ=2×0.4=0.82×σ=2×0.4=0.8

The values of x¯ will range from -0.8 to 0.8.

Using these values, the figure is:

  PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 14, Problem 14.1AYK , additional homework tip  3

c)

To determine

To construct: The interval below the sketch for one of x¯ that is lying the shaded region and other lying outside the shaded region.

c)

Expert Solution
Check Mark

Explanation of Solution

Graph:

The figure could be constructed as:

  PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 14, Problem 14.1AYK , additional homework tip  4

d)

To determine

To find: The percent of all samples would the confidence interval x¯±m contain the true population mean μ=140

d)

Expert Solution
Check Mark

Answer to Problem 14.1AYK

The percentage is 95%.

Explanation of Solution

Calculation:

The percent of all the samples that would fall in the computed confidence interval is 95%. In this case, m is 0.8 and μ=140 about 95% of all the samples would be in the confidence interval.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
(a) Test the hypothesis. Consider the hypothesis test Ho = : against H₁o < 02. Suppose that the sample sizes aren₁ = 7 and n₂ = 13 and that $² = 22.4 and $22 = 28.2. Use α = 0.05. Ho is not ✓ rejected. 9-9 IV (b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 = 0. What level of type II error would you recommend here? Round your answer to four decimal places (e.g. 98.7654). Use a = 0.05. β = i What sample size would be required? Assume the sample sizes are to be equal.…
= Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x1 = 4.7 and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use απ 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume that α = 0.05. (a) The null hypothesis is 98.7654). rejected. The P-value is 0.0008 (b) The power is 0.94 . Round your answer to four decimal places (e.g. Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = 1 . Round your answer to the nearest integer.
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman