Do iv & v only
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Do iv & v only
Transcribed Image Text:Question 3
An analyst in a market research company would like to analyze the daily time spent on social media
applications by HELP university students. Below are the time (hours) spent on social media
applications and gender (M = male, F = female) of a group of 30 students.
Time (hours)
Gender
Time (hours)
Gender
1.5
F
3.2
M
2.0
F
2.9
M
2.4
F
3.8
M
5.1
M
1.7
F
0.8
M
1.2
F
2.6
F
1.6
M
3.1
F
2.5
F
4.7
M
3.3
F
1.8
M
4.5
F
2.0
F
3.9
3.8
F
2.1
M
2.5
F
1.6
F
0.5
F
2.7
F
1.8
M
1.0
M
2.6
2.4
F
i. Find the probability that a randomly selected student spends between 2.1 hours and 3.9 hours per
day on social media applications.
ii. Find the probability that the mean daily time spent on social media applications for four randomly
selected students is more than 2.8 hours.
iii. Five students are randomly selected. Find the probability that less than three of them spend less
than 3.2 hours per day on social media applications.
iv. State the assumption(s) made in order to carry out the calculations in (i) to (iii).
v. Past records show that HELP university students spent on average, 2.3 hours per day on social
media applications. The analyst claims that the daily time spent has increased. Assume the
standard deviation calculated in (i) remains the same for population, using the critical value
method, can we accept the claim at 1% level of significance?
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