Statistics: The average | Descriptive statistics,Sample vs. Population Mean,Variance of a population,Sample variance,Standard -deviation,Alternate variance formulas – Introduction to Random Variables – Probability density functions – Binomial Distribution – Expected Value: E(X) – Expected value of binomial distribution – Poisson process – Law of large numbers – Normal distribution excel exercise – Introduction to the normal distribution – ck12.org normal distribution problems: Qualitative sense of normal distributions – ck12.org normal distribution problems: z-score – ck12.org normal distribution problems: Empirical rule – k12.org exercise: Standard normal distribution and the empirical – ck12.org: More empirical rule and z-score practice – Central limit theorem – Sampling distribution of the sample mean – Standard error of the mean – Sampling distribution example problem – Confidence interval – Mean and variance of Bernoulli distribution example – Bernoulli distribution mean and variance formulas – Margin of error – Confidence interval example – Small sample size confidence intervals – Hypothesis testing and p-values – One-tailed and two-tailed tests – Z-statistics vs. T-statistics – Small sample hypothesis test – T-statistic confidence interval – Large sample proportion hypothesis testing – Variance of differences of random variables – Difference of sample means distribution – Confidence interval of difference of means – Clarification of confidence interval of difference of means – Hypothesis test for difference of means – Comparing population proportions

### Course Curriculum

 Statistics: The average | Descriptive statistics Details 12:35 Statistics: Sample vs. Population Mean Details 6:42 Statistics: Variance of a population Details 12:23 Statistics: Sample variance Details 11:18 Statistics: Standard deviation Details 13:7 Statistics: Alternate variance formulas Details 12:17 Introduction to Random Variables Details 12:4 Probability density functions Details 10:2 Binomial Distribution 1 Details 12:16 Binomial Distribution 2 Details 11:5 Binomial Distribution 3 Details 13:27 Binomial Distribution 4 Details 10:46 Expected Value: E(X) Details 14:53 Expected value of binomial distribution Details 16:56 Poisson process 1 Details 11:1 Poisson process 2 Details 12:42 Law of large numbers Details 0:9 Normal distribution excel exercise Details 26:4 Introduction to the normal distribution Details 26:24 ck12.org normal distribution problems: Qualitative sense of normal distributions Details 10:53 ck12.org normal distribution problems: z-score Details 7:48 ck12.org normal distribution problems: Empirical rule Details 10:25 k12.org exercise: Standard normal distribution and the empirical Details 8:16 ck12.org: More empirical rule and z-score practice Details 5:57 Central limit theorem | Inferential statistics Details 9:49 Sampling distribution of the sample mean Details 10:52 Sampling distribution of the sample mean 2 Details 13:20 Standard error of the mean | Inferential statistics Details 15:15 Sampling distribution example problem Details 14:28 Confidence interval 1 | Inferential statistics Details 14:3 Mean and variance of Bernoulli distribution example Details 8:20 Bernoulli distribution mean and variance formulas Details 6:59 Margin of error 1 | Inferential statistics Details 15:3 Margin of error 2 Details 10:5 Confidence interval example Details 18:36 Small sample size confidence intervals Details 11:11 Hypothesis testing and p-values Details 11:27 One-tailed and two-tailed tests Details 6:34 Z-statistics vs. T-statistics Details 6:39 Type 1 errors Details 3:24 Small sample hypothesis test Details 9:4 T-statistic confidence interval | Inferential statistics Details 11:47 Large sample proportion hypothesis testing Details 14:31 Variance of differences of random variables Details 10:47 Difference of sample means distribution Details 12:18 Confidence interval of difference of means Details 15:49 Clarification of confidence interval of difference of means Details 2:42 Hypothesis test for difference of means Details 10:7 Comparing population proportions 1 Details 10:47 Comparing population proportions 2 Details 10:1

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