A survey in 2009 asked 125 college students how many text messages they send in
ID: 2906634 • Letter: A
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.
- Sampling distribution of ¯yy¯, n = 10
- Sampling distribution of ¯yy¯, n = 25
- Population
- Sampling distribution of ¯yy¯, n = 5
Graph A
Graph B
Graph C
Graph D
Relative Frequency 0.8 0.6 Relative Frequency Graph A 0.3 0.25 Graph B 0.15 0.2 0.05 0 50 100 150 200 250 300 350 0 50 100 150 200 250 300 350 Relative Frequency Relaive Frequency 0.6 0.5 0.4 0.3 0.2 0.1 Graph C Graph D 0.2 0.05 0 50 100 150 200 250 300 350 0 50 100 150 200 250 300 350Explanation / Answer
sample mean with large sample size will have less variability as compared to population.
somce Graph A has highest variability followed by
Graph A: Population
Graph B: sampling distribution with n=25
Graph C: sampling distribution with n=5
Graph D:sampling distribution with n=10
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