A student organization wondered how many hours per week college students study during a term. Each of the 10 students in the org
anization asked 10 of their friends how much they typically studied each week. A 95% confidence interval for the mean number of hours studied per week was (18,30). Are the conditions satisfied to use the confidence interval to make an inference to the population of interest?
No, a convenience sample was taken.Therefore, the sample may not be representative of all college students in terms of number of hours studied per week.
Step-by-step explanation:
One of the important conditions required in other to estimate the mean of the population from the confidence interval. Requires that the data must be a random Sample. This is to ensure that sample values are not biased and as such are representative of the larger group of data.
However, in the scenario described above, the sample chose. Are friend's of the student, this makes the data lack randomness as those who aren't friends to the student do not stand a chance of being selected. The sampling procedure employed is called convenience sampling.
