Question

Asked Oct 21, 2019

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Step 1

**a.**

*Experimental study:* An experimental study is a study, in which the investigator themselves control and manipulate each factor of interest at its different levels and allocates the subjects under study to the different combinations of factors, in order to note its effect on the response variable of interest.

*Non-experimental study:* A non-experimental study is a study, in which the investigator cannot control or manipulate the factors of interest at their different levels; they cannot allocate the subjects under study to the different combinations of factors, but can simply observe the available information in order to form an idea about their effects on the response variable of interest.

Here, the researcher measured the walking speed of random travellers in the airports. The researcher has not influenced the data. Thus, the study is a non-experimental(observational)study.

Thus, the correct answer is **option (D), “This is an observational study since the researcher did not influence the data”.**

Step 2

**b.**

Here, the sample sizes of Departure and Arrival are both 35.

The reason for using Welch’s *t*-test is that __the samples are random and independent, and the sample sizes are greater than 30__. That is, .

Thus, the correct answer is** option (B), “This is an observational study since the researcher did not influence the data”.**

Step 3

**c.**

The mean speed and standard deviation of the Departure and Arrival are 251, 45 and 274 and 38 respectively. The samples sizes are both 35.

The claim is that “the individuals walk at different speeds depending on whether they are departing or arriving”.

Here, µ1 represent the mean speed of people departing and µ2 represent the mean speed of p...

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