A national travel association with over 3,000 members selected a random sample of 100 members of the association. The selected members were asked toreport the number of miles they traveled on their last vacation. The mean and standard deviation of the responses were 150 miles and 40 miles, respectively. Agraph of the sample data displayed a right skew. The association will construct a confidence interval to estimate the mean number of miles traveled for allmembers.Have the conditions for inference been met?AYes. All conditions for inference have been met.ВNo. The distribution of sample data was not approximately normal.No. The sample size was greater than 10% of the population size.No. The sample was not selected at random.ENo. The sample consisted only of members of the travel association.

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Description: A national travel association with over 3,000 members selected a random sample of 100 members of the association. The selected members were asked toreport the number of miles they traveled on their last vacation. The mean and standard deviation of t

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A national travel association with over 3,000 members selected a random sample of 100 members of the association. The selected members were asked to
report the number of miles they traveled on their last vacation. The mean and standard deviation of the responses were 150 miles and 40 miles, respectively. A
graph of the sample data displayed a right skew. The association will construct a confidence interval to estimate the mean number of miles traveled for all
members.
Have the conditions for inference been met?
A
Yes. All conditions for inference have been met.
В
No. The distribution of sample data was not approximately normal.
No. The sample size was greater than 10% of the population size.
No. The sample was not selected at random.
E
No. The sample consisted only of members of the travel association.

Expert Solution

Step 1

Sample size, n =100.

Sample mean=150

Standard deviation=40.

The necessary assumptions and conditions for confidence interval are:

Independence assumption: The sample values must be independent of each other.
Randomization condition: the data must be sampled randomly.
10% condition: when the sample is drawn without replacement, the sample size, should not be more than 10% of the population.
Sample size condition: the sample size must be sufficiently large.

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