Sample Proportions and Sample Means

Aug 14, 2013

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The population of interest has a certain characteristics that appears with a certain proportion p. This proportion is a quantity that we usually don't know, but we would like to estimate it. Since it is a characteristic of the population, we call it a parameter.To estimate p we draw a representativ

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Sample Proportions and Sample Means

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Distributions of Sample Means and Sample Proportions

Distributions of Sample Means and Sample Proportions. BUSA 2100, Sections 7.0, 7.1, 7.4, 7.5, 7.6. Point Estimates. We don’t expect the sample mean to be exactly equal to the population mean.

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Two-Sample Proportions Inference

Sampling Distributions for the difference in proportions . When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let's investigate.Pairs of students will be given pennies and assigned to ei

316 views • 14 slides

Comparing two sample means

Comparing two sample means. Dr David Field. Comparing two samples. Researchers often begin with a hypothesis that two sample means will be different from each other In practice, two sample means will almost always be slightly different from each other

971 views • 29 slides

One sample means

One sample means. Testing a sample mean against a population mean. Hypothesis testing for one population means. We have measured a sample, and have a mean and SD, interval or ratio level data Does the sample differ significantly from the population?

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Distribution of Sample Means

Distribution of Sample Means. 2011, 10, 20. Today ’ s Topics. What is distribution of sample means?** Properties of distribution of sample means* How to find out the probability of a sample (mean)?**. ― Weekly Mean. Example 1: Jamie Joan ’ s.

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Sample Proportions

Sample Proportions. AP Stats Section 9.2 . Sample Distributions of a Sample Proportion. Recall notation for a population proportion: p Recall notation for a sample proportion: What is a proportion? A fraction A decimal A percent. Sample Distributions of a Sample Proportion.

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Two-Sample Problems – Means

Two-Sample Problems – Means. Comparing two (unpaired) populations Assume: 2 SRSs, independent samples, Normal populations. Make an inference for their difference:. Sample from population 1:. Sample from population 2:. S.E. – standard error in the two-sample process. Confidence Interval:.

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Sample Proportions

Sample Proportions. What do YOU think?. 91% of teens have been bullied. Are these parameters or statistics? What specific type of parameter/statistic are they? How do you think they were calculated? How can we be sure that method yielded a good estimate?. 74% of US teens carry a cell phone.

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Section 7-4: Confidence Intervals And Sample Means for Proportions

Section 7-4: Confidence Intervals And Sample Means for Proportions. Symbols Used in Proportion Notation. p =. population proportion. ^. p =. sample proportion. For a sample proportion,. _ X _ n. ^. ^. ^. 1 - p. q =. p =. ^. * Sometimes p is given. Where:

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Comparing Sample Means

Comparing Sample Means. Confidence Intervals. Difference Between Two Means. The point estimate for the difference is. Population means, independent samples. *. x 1 – x 2. σ 1 and σ 2 known. σ 1 and σ 2 unknown, n 1 and n 2  30. σ 1 and σ 2 unknown, n 1 or n 2 < 30.

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Sample Proportions

Sample Proportions. 7.3b The Central Limit Theorem CLT Hw: pg 455: 57, 59, 61, 63, 65 - 68. The Central Limit Theorem Most population distributions are not Normal. What is the shape of the sampling distribution of sample means when the population distribution isn’t Normal?

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Module 22: Proportions: One Sample

Module 22: Proportions: One Sample. This module presents confidence intervals and tests of hypotheses for proportions for the situation with one random sample from a population. Reviewed 06 June 05 /MODULE 22. Proportions.

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Two-Sample Proportions Inference

Two-Sample Proportions Inference. Sampling Distributions for the difference in proportions. When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let’s investigate.

277 views • 14 slides

Two-Sample Proportions Inference

Two-Sample Proportions Inference. Two-Sample Proportions Inference. Sampling Distributions for the difference in proportions.

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Sample Means:

Sample Means:. Target Goal: I can find the mean and standard deviation of the sampling distribution. 7.3a h.w: pg 441:43 – 46; pg 454: 49, 51, 53, 55. Because sample means are just averages of observations, they are among the most common statistic. Bull Market or Bear Market

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Rule of sample proportions

Rule of sample proportions. IF:. There is a population proportion of interest We have a random sample from the population The sample is large enough so that we will see at least five of both possible outcomes. THEN:.

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Two-Sample Means

Two-Sample Means. Do male and female college students differ with respect to their fastest reported driving speed ?. Population of all male college students. Population of all female college students. Sample of n 1 = 17 males report average of 102.1 mph.

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Two-Sample Proportions Inference

Two-Sample Proportions Inference. Two , independent SRS’s from populations Population s at least 10n Normal approximation for both. Assumptions:. Formula for confidence interval:. Margin of error!. Standard error!. Note: use p-hat when p is not known.

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Sample Proportions

Sample Proportions. The Sampling Distribution of Consider the approximate sampling distributions generated by a simulation in which SRSs of Reese’s Pieces are drawn from a population whose proportion of orange candies is either 0.45 or 0.15.

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Two-sample Proportions

Two-sample Proportions. Section 12.2.1. Starter 12.2.1. One-sample procedures for proportions can also be used in matched pairs experiments. Here is an example:

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