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

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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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