Question

Applied Statistics

Use the following to answer questions

Problem 4:

For the 2017 Intel Science Fair, two sisters in high school recruited 60of their classmates to take part in a two-stage study. Participants had to read two different passages and then answer questions on them, and each person’s score was recorded for each of the two tests. There were no distractions for one of the passages, but participants received text messages while they read the other passage. Participants scored significantly worse when distracted by incoming texts. Participants were also asked if they were good at multitasking (yes or no) but “even students who were confident of their abilities did just as poorly on the test while texting.”

(a)How many cases are there?

(b)How many variables are mentioned in the description?

(c)What are the variables?

(d)Which variables are categorical?

(e)Which variables are quantitative?

(f)If we created a dataset of the information with cases as rows and variables as columns, how many rows and how many columns would the dataset have?

Answer 1

Solution :-

Given data :

Number of participants = 60

(a) :-

Given as Number of participants = 60. so that the number of cases are 60.

(b) :-

Number of variables mentioned in the description are 3.

(c) :-

( given as there are two tests and one is multitasking questions )

The three variables are,

1.Test 1

2. Test 2

3. Multitasking Question

(d) :-

the categorical variables are only one, which is Multi tasking question.

(e) :-

the Quantitative variables are two, which are Test 1 and Test 2.

(f) :-

On the off chance that we made a dataset of the data with cases as rows and factors as columns. we get

Number of rows = 60 ( $\because$ number of participants )

Number of columns = 3 ( $\because$ number of variables )