A survey in 2009 asked 125 college students how many text messages they send in

Question

A survey in 2009 asked 125 college students how many text messages they send in a day. One histogram shows the distribution of the number of texts sent for all respondents. The other three graphs show distributions of sample means for random samples taken from the population of students. One histogram shows sample means based on samples of size n-5 students; another shows sample means based on samples of n -10 students; and another shows sample means based on a sample of n - 25 students Relative Frequency Relative Frequency 0.8 Graph A Graph B 0.6 0.4 0.2 0.25 0.2 0.15 0.1 0.05 0 50 100 150 200 250 300 350 0 50 100 150 200 250 300 350 Relative Frequency 0.6 0.5 0.4 0.3 0.2 Relative Frequency Graph C Graph D 0.2 0.15 0.1 0.05 0 50 100 150 200 250 300 350 0 50 100 150 200 250 300 350 Sampling distribution of y, n-10 Population Sampling distribution of ?, n-25 a. Graph A b. Graph B c. Graph C d. Graph D - Sampling distribution of y, n-5 -

Explanation / Answer

The original distribution will be highly right skewed and as we increase the sample size, the symmetricity in data will increase. Hence, the correct graphs will be:

1. Graph D

2. Graph A

3. Graph B

4. Graph C

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