Summary A confidence interval for the population mean, is constructed using the formula: sample mean...

10

Transcript of Summary A confidence interval for the population mean, is constructed using the formula: sample mean...

Page 1: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
Page 2: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.

Summary

A confidence interval for the population mean, is constructed using the formula:

sample mean ± z multiplied by σ/√nwhere σ is the population standard deviation, n is the sample sizeand z is dependent on the confidence level.Eg z = 1.96 for a confidence level of 95%

Page 3: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.

June 06 q4

Page 4: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.

June 07 q3

Page 5: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
Page 6: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
Page 7: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
Page 8: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
Page 9: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.

The meaning of a confidence interval

It is important that you understand what is meant by a confidence interval. For example, if you find a 90% confidence interval, this does NOT mean that there is a 90% chance that the mean lies within the confidence interval. It means that if you take many samples of the same size and construct a 90% confidence interval from each one, then 90% of these intervals will contain the true population mean.

Page 10: Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.

This may seem like a subtle distinction, or just a different wording. The important point, however, is that the true population mean is not random. Even though you don’t know what it is, it is fixed. Either a particular confidence interval contains the mean, or it doesn’t. So you cannot say that there is a 90% chance that a particular confidence interval contains the mean.

However, the confidence interval is a random variable as it is based on a random sample. So you can say that 90% of intervals calculated from samples of a given size will contain the true mean.


Mean stress correction in fatigue design under consideration of … · 2020-02-25 · σ max Maximum stress under cyclic loading σ min Minimum stress under cyclic loading σ RS Residual

Mean stress correction in fatigue design under consideration of … · 2020-02-25 · σ max Maximum stress under cyclic loading σ min Minimum stress under cyclic loading σ RS Residual

2-1 Data Summary and Display Population Mean For a finite population with N measurements, the mean is The sample mean is a reasonable estimate of.

2-1 Data Summary and Display Population Mean For a finite population with N measurements, the mean is The sample mean is a reasonable estimate of.

Statistical Test for Population Mean

Statistical Test for Population Mean

Section 2E – One Population Mean & Proportion Confidence …teachoutcoc.org/files/section2E_intro_to_stats_for... · 2020. 5. 12. · Section 2E – One Population Mean & Proportion

Section 2E – One Population Mean & Proportion Confidence …teachoutcoc.org/files/section2E_intro_to_stats_for... · 2020. 5. 12. · Section 2E – One Population Mean & Proportion

Interval estimates of the mean for small n, σ unknown. Estimates of sample size.

Interval estimates of the mean for small n, σ unknown. Estimates of sample size.

6.1 Confidence Interval for the Mean ( n 30 or σ known w/normal population )

6.1 Confidence Interval for the Mean ( n 30 or σ known w/normal population )

Confidence Interval for a population mean

Confidence Interval for a population mean

Population and sample mean

Population and sample mean

7.2 Confidence Intervals for the Mean When Is Unknown · 25.01.2013  · Bluman, Chapter 7 7.2 Confidence Intervals for the Mean When σ Is Unknown The value of σ, when it is not

7.2 Confidence Intervals for the Mean When Is Unknown · 25.01.2013  · Bluman, Chapter 7 7.2 Confidence Intervals for the Mean When σ Is Unknown The value of σ, when it is not

Chapter 8 Interval Estimation Population Mean: Known Population Mean: Known Population Mean: Unknown Population Mean: Unknown n Determining the.

Chapter 8 Interval Estimation Population Mean: Known Population Mean: Known Population Mean: Unknown Population Mean: Unknown n Determining the.

Hypothesis Testing - iut.ac.ir · 2014-12-24 · 09/01/1433 7 Testing for a Population Mean Large sample with known σ When the samppgle size is greater than 30 and σ is known, the

Hypothesis Testing - iut.ac.ir · 2014-12-24 · 09/01/1433 7 Testing for a Population Mean Large sample with known σ When the samppgle size is greater than 30 and σ is known, the

Braid-based cryptography - Patrick Dehornoy · BRAID-BASED CRYPTOGRAPHY 3 = = = = σ−1 i σ i+1 σ i σ i 1 σ i i σ i σ i σ i σ−1 σ i+1 +1 i+2 i+2 Figure 2. Geometric interpretation

Braid-based cryptography - Patrick Dehornoy · BRAID-BASED CRYPTOGRAPHY 3 = = = = σ−1 i σ i+1 σ i σ i 1 σ i i σ i σ i σ i σ−1 σ i+1 +1 i+2 i+2 Figure 2. Geometric interpretation

Braid-based cryptography · 2017. 9. 3. · BRAID-BASED CRYPTOGRAPHY 3 = = = = σ−1 i σ i+1 σ i σ i 1 σ i i σ i σ i σ i σ−1 σ i+1 +1 i+2 i+2 Figure 2. Geometric interpretation

Braid-based cryptography · 2017. 9. 3. · BRAID-BASED CRYPTOGRAPHY 3 = = = = σ−1 i σ i+1 σ i σ i 1 σ i i σ i σ i σ i σ−1 σ i+1 +1 i+2 i+2 Figure 2. Geometric interpretation

Mean Point of Interest, x Z Score 0 3 -3 1 2 -2 σ σ σ σ σ σ The Z Table Estimate Area “A” Area “B” Background on the Z Estimate Using the Z score, the.

Mean Point of Interest, x Z Score 0 3 -3 1 2 -2 σ σ σ σ σ σ The Z Table Estimate Area “A” Area “B” Background on the Z Estimate Using the Z score, the.

Smooth region’s mean deviation-based denoising method€¦ · The mean (”average”, μ) and variance (standard deviation squared, σ) are the defining parameters of the AWGN.

Smooth region’s mean deviation-based denoising method€¦ · The mean (”average”, μ) and variance (standard deviation squared, σ) are the defining parameters of the AWGN.

9 th Seminar Unit2 Population. What does population mean?

9 th Seminar Unit2 Population. What does population mean?

7-3 Estimating a Population Mean

7-3 Estimating a Population Mean

Section 7-2: Confidence Intervals for the Mean When σ Is ...math.ucdenver.edu/~ssantori/MATH2830SP13/Math2830... · Section 7-2: Confidence Intervals for the Mean When σ Is Unknown

Section 7-2: Confidence Intervals for the Mean When σ Is ...math.ucdenver.edu/~ssantori/MATH2830SP13/Math2830... · Section 7-2: Confidence Intervals for the Mean When σ Is Unknown

1 Section 8.5 Testing a claim about a mean (σ unknown) Objective For a population with mean µ (with σ unknown), use a sample to test a claim about the.

1 Section 8.5 Testing a claim about a mean (σ unknown) Objective For a population with mean µ (with σ unknown), use a sample to test a claim about the.

1 Chapter 6 Estimates and Sample Sizes 6-1 Estimating a Population Mean: Large Samples / σ Known 6-2 Estimating a Population Mean: Small Samples / σ Unknown.

1 Chapter 6 Estimates and Sample Sizes 6-1 Estimating a Population Mean: Large Samples / σ Known 6-2 Estimating a Population Mean: Small Samples / σ Unknown.