A social worker was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples were selected yielding the following information. State supported Facilities Privately owned Facilities Sample Size 64 64 Sample Mean 725 675 Sample Standard Deviation 95 80 Based on the 90% confidence interval for the true mean difference in average cost of children (state supported - privately owned), can one conclude that there is a difference in the average cost of children between the state supported facilities and privately owned facilities? Group of answer choices A. 90% CI is (-7.28, 52.72). One can conclude that there is a difference in the average cost of childcare between the state supported facilities and privately owned facilities. B. 90% CI is (-7.28, 52.72). One can conclude that there is no difference in the average cost of childcare between the state supported facilities and privately owned facilities. C. 90% CI is (24.46, 75.54). One can conclude that there is no difference in the average cost of childcare between the state supported facilities and privately owned facilities. D. 90% CI is (24.46, 75.54). One can conclude that there is a difference in the average cost of childcare between the state supported facilities and privately owned facilities.

Name: A social worker was interested in determining whether there is a signi
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A social worker was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random sam

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Topic Video

Question

A social worker was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples were selected yielding the following information.

	State supported Facilities	Privately owned Facilities
Sample Size	64	64
Sample Mean	725	675
Sample Standard Deviation	95	80

Based on the 90% confidence interval for the true mean difference in average cost of children (state supported - privately owned), can one conclude that there is a difference in the average cost of children between the state supported facilities and privately owned facilities?

Group of answer choices

A. 90% CI is (-7.28, 52.72). One can conclude that there is a difference in the average cost of childcare between the state supported facilities and privately owned facilities.

B. 90% CI is (-7.28, 52.72). One can conclude that there is no difference in the average cost of childcare between the state supported facilities and privately owned facilities.

C. 90% CI is (24.46, 75.54). One can conclude that there is no difference in the average cost of childcare between the state supported facilities and privately owned facilities.

D. 90% CI is (24.46, 75.54). One can conclude that there is a difference in the average cost of childcare between the state supported facilities and privately owned facilities.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

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