General Statistics: Ch 1, Sec 1.4 HW

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This course is designed to acquaint the student with the principles of descriptive and inferential statistics. Topics will include: types of data, frequency distributions and histograms, measures of central tendency, measures of variation, probability, probability distributions including binomial, normal probability and student's t distributions, standard scores, confidence intervals, hypothesis testing, correlation, and linear regression analysis. This course is open to any student interested in general statistics and it will include applications pertaining to students majoring in athletic training, pre-nursing and business.
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1

Determine whether the sample described below is a simple random sample.

In order to test for a difference in the way that men and women purchase magazines, a research institution polls exactly 762 adult men and 762 adult women randomly selected from adults in the United States.

The sample is not a simple random sample because every sample of size 1524 does not have the same chance of being selected.

2

What is the difference between a random sample and a simple random​ sample?

With a random​ sample, each individual has the same chance of being selected. With a simple random​ sample, all samples of the same size have the same chance of being selected.

3

Identify which type of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster.

To determine customer opinion of their service​, Business Depot randomly selects 70 stores during a certain week and surveys all customers present in the store.

Cluster

4

Determine whether the description below corresponds to an observational study or an experiment.

In a survey sponsored by a​ company, 13,072 people were asked what contributes most to their anxiety, and 39% of the respondents said that it was their job.

The study is an observational study because the survey subjects were not given any treatment.

5

Identify which type of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster.

A magazine asks its readers to call in their opinion regarding the amount of advertising in the present issue.

Convenience

6

A handler loads one item every 15 ​minutes, so 160 items are completed in her first week of work. Her manager checks her work by randomly selecting a day of the week, then reviewing all the items she completed that day.

Does this sampling plan result in a random​ sample?

Does this sampling plan result in a simple random​ sample?

Yes, because each item has an equal chance of being selected.

No, because all possible groups of n items do not have an equal chance of being selected.