A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained:

Smokers: 69.3, 56.0, 22.1, 47.6, 53.2, 48.1, 52.7, 34.4, 60.2, 43.8, 23.2, 13.8

Non-Smokers: 28.6, 25.1, 26.4, 34.9, 28.8, 28.4, 38.5, 30.2, 30.6, 31.8, 41.6, 21.1, 36.0, 37.9, 13.9

Find the variance for both of the given groups.

Which type of variance should I use to find the variance of the above ungrouped data and why?

Question

11-05-2025
Mathematics

High School

We appreciate your visit to A study of the effect of smoking on sleep patterns is conducted The measure observed is the time in minutes that it takes to fall. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained:

Smokers: 69.3, 56.0, 22.1, 47.6, 53.2, 48.1, 52.7, 34.4, 60.2, 43.8, 23.2, 13.8

Non-Smokers: 28.6, 25.1, 26.4, 34.9, 28.8, 28.4, 38.5, 30.2, 30.6, 31.8, 41.6, 21.1, 36.0, 37.9, 13.9

Find the variance for both of the given groups.

Which type of variance should I use to find the variance of the above ungrouped data and why?

Answer :

Other Questions

How many times does 15 go into 135? ______ times, with a

Q10. Explain the retention time in gas chromatography (GC). What will happen

A 128 kg satellite experiences a gravitational force by the Earth of

Complete the synthetic division problem below. [tex]\[ -1 \longdiv { 2 \

Which eight (8) of the following measures and procedures would you undertake

Using a volume of 20000 and an angle of 10 can you

55. The length of a rectangle exceeds twice its breadth by 3

Many experts recommend having an emergency fund. This emergency fund should be

Consider the array \( a = \langle 3, 60, 25, 15, 10,

What are the basic strengths and weaknesses of Turkey? What are the

Axib Axib · Answer 1 · 2024-01-17T02:23:49-05:00

Final answer:

For the given study on smoking and sleep patterns, the sample variance should be calculated because the data sets are likely samples from larger populations.

Explanation:

When determining the type of variance to calculate for a given set of ungrouped data, it is essential to understand the nature of the data set. If the data set represents the entire population, then you should calculate the population variance. However, if the data set is a sample from a larger population, which is often the case in practical scenarios, you should calculate the sample variance.

In the context of a study comparing the sleep patterns of smokers versus non-smokers, the data sets for both groups are likely samples of larger populations. Therefore, sample variance is more appropriate.

To calculate the sample variance, you would take the sum of the squared differences between each data point and the mean, divided by the number of observations minus one. The minus one accounts for the degrees of freedom in a sample and provides an unbiased estimator of the population variance.