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Statistical Experimental Design

Authored by Anthony Clark

Mathematics

12th Grade

Used 1+ times

Statistical Experimental Design
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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A market research company wishes to find out whether the population of students at a university prefers Starbucks or Dunkin Donuts. A random sample of students is selected, and each student is asked first to try both but the order they try them is randomly decided with a coin toss (heads: Starbucks, then Dunkin. tails: vice versa). They then indicate which brand they prefer. This is an example of

completely randomized experiment

observational study

stratified sample

matched pairs experiment

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To investigate the effectiveness of an herbal medication for pain relief, a researcher randomly selected 80 patients who were undergoing physical therapy while recovering from an injury. Of the patients, 40 had knee injuries, 16 had arm injuries, and 24 had foot injuries. The researcher will use two treatments for the investigation: the herbal medication and a standard medication. After the patients are on the medication for two weeks, the amount of pain reduction will be measured for each patient. Which of the following best describes why a randomized block design is appropriate for the investigation?

The 80 patients were selected at random from all patients undergoing physical therapy while recovering from an injury.

The sample size was greater than 30.

Each patient will be randomly assigned to either the herbal medication or the standard medication.

Blocking on injury type will help to separate natural variability from differences due to injury type.

Each patient assigned to the herbal medication will be paired with a patient assigned to the standard medication.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What kind of experiment is shown in the picture?

Randomized Block Design

Completely Randomized Design

Matched Pairs

SRS

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What kind of experiment is shown?

Matched Pairs

Block Design

Completely Randomized Design

SRS

5.

DROPDOWN QUESTION

1 min • 1 pt

An ​ (a)   does not have treatments imposed.

An ​ (b)   has treatments imposed.

Observational Study

Experiment

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the heels of sneakers will last longer. The researcher is considering two design types for the study. Design 1: Randomly assign 15 participants to wear sneakers with material A on their left feet and material B on their right feet. The remaining participants will wear sneakers with material B on their left feet and material A on their right feet. Design 2: Randomly assign 15 participants to wear sneakers with material A on both feet and the remaining participants to wear sneakers with material B on both feet. Which of the following best describes each design?

Design 1 is a completely randomized design, and design 2 is a matched pairs design.

Design 1 is a matched pairs design, and design 2 is a completely randomized design.

Design 1 is a matched pairs design, and design 2 is a matched pairs design.

Design 1 is a completely randomized design, and design 2 is a completely randomized design.

Design 1 is a completely randomized design, and design 2 is a randomized block with materials as blocks.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Can pleasant aromas help a student learn better? Two researchers believed that the presence of a floral scent could improve a person's learning ability in certain situations. They had 22 people work through a pencil-and-paper maze 6 times. Three of the times they wore a floral-scented mask and three times they wore an unscented mask. The three trials for each mask followed one another. Testers measures the length of time it took subjects to complete each of the six trials. They reported that, on average, subjects wearing the floral-scented mask completed the maze more quickly that those wearing the unscented mask, although, the difference was not statistically significant. This study is:

convenience sample

an oberservational study

an experiment, but not double-blind

a double-blind experiment

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