2.4 - Sampling Distribution (Mean) (Solutions)

# 2.4 - Sampling Distribution (Mean) (Solutions) - 2.4...

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2.4 – Sampling Distribution (Mean) 1 Section 2.4 Sampling Distribution (Mean) CENTRAL LIMIT THEOREM If all samples of a specified size are taken from any population, the sampling distribution of the sample means is approximately a normal distribution. Approximation IMPROVES WITH LARGER sample sizes. SAMPLING DISTRIBUTION OF THE SAMPLE MEAN 1. All possible different samples of the same sample size (n) are taken from your population data 2. A summary for ALL sample means is calculated 3. All the sample means are converted into their relative frequencies (probabilities) 4. This table of probabilities can be converted into a probability curve

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2.4 – Sampling Distribution (Mean) 2 1 2 1 3 1 4 2 3 2 4 3 4 = (15+8)/2 = 11.50 = (15+35)/2 = 25.00 = (15+10)/2 = 12.50 = (8+35)/2 = 21.50 = (8+10)/2 = 9.00 = (35+10)/2 = 22.50 Survey: Study the average amount that students spend at the outback per week POPULATION Student 1 Student 2 Student 3 Student 4 \$15 \$8 \$35 \$10 Population Mean: Sample 2 students at random from the population:
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2.4 - Sampling Distribution (Mean) (Solutions) - 2.4...

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