PS.19 The student will use problem solving, mathematical communication, The Central Limit Theorem states: mathematical reasoning, connections, and representations to The mean of the sampling distribution of means is equal to the population mean. Describe the use of the Central Limit Theorem for drawing If the sample size is sufficiently large, the sampling distribution inferences about a population parameter based on a sample statistic. approximates the normal probability distribution. Describe the effect of sample size on the sampling distribution and If the population is normally distributed, the sampling on related probabilities. distribution is normal regardless of sample size. Use the normal approximation to calculate probabilities of sample Sampling distributions have less variability with larger sample sizes. statistics falling within a given interval. Identify and describe the characteristics of a sampling distribution of a sample proportion, mean, difference between two sample proportions, or difference between two sample means.
PS.19 The Central Limit Theorem states: The mean of the sampling distribution of means is equal to the population mean. If the sample size is sufficiently large, the sampling distribution approximates the normal probability distribution. If the population is normally distributed, the sampling distribution is normal regardless of sample size. Sampling distributions have less variability with larger sample sizes. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Describe the use of the Central Limit Theorem for drawing inferences about a population parameter based on a sample statistic. Describe the effect of sample size on the sampling distribution and on related probabilities. Use the normal approximation to calculate probabilities of sample statistics falling within a given interval. Identify and describe the characteristics of a sampling distribution of a sample proportion, mean, difference between two sample proportions, or difference between two sample means.
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