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4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

Calculating the P-value

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.1 Hypothesis Testing on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.2 Type II Error and Choice of Sample Size

Fortunately, this unpleasant task has already been done, and the results are summarized in a series of graphs in Appendix A Charts Va, Vb, Vc, and Vd that plot for the t-test against a parameter d for various sample sizes n.

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.2 Type II Error and Choice of Sample Size

These graphics are called operating characteristic (or OC) curves. Curves are provided for two-sided alternatives on Charts Va and Vb. The abscissa scale factor d on these charts is defined as

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.3 Confidence Interval on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.3 Confidence Interval on the Mean

4-5 Inference on the Mean of a Population,

Variance Unknown

4-5.4 Confidence Interval on the Mean

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.1 Hypothesis Testing on the Variance of a

Normal Population

4-6 Inference on the Variance of a

Normal Population

4-6.2 Confidence Interval on the Variance of a

Normal Population

4-7 Inference on Population Proportion

4-7.1 Hypothesis Testing on a Binomial Proportion

We will consider testing:

4-7 Inference on Population Proportion

4-7.1 Hypothesis Testing on a Binomial Proportion

4-7 Inference on Population Proportion

4-7.1 Hypothesis Testing on a Binomial Proportion

4-7 Inference on Population Proportion

4-7.1 Hypothesis Testing on a Binomial Proportion

4-7 Inference on Population Proportion

4-7.2 Type II Error and Choice of Sample Size

4-7 Inference on Population Proportion

4-7.2 Type II Error and Choice of Sample Size

4-7 Inference on Population Proportion

4-7.3 Confidence Interval on a Binomial Proportion

4-7 Inference on Population Proportion

4-7.3 Confidence Interval on a Binomial Proportion

4-7 Inference on Population Proportion

4-7.3 Confidence Interval on a Binomial Proportion

Choice of Sample Size

4-8 Other Interval Estimates for a

Single Sample

4-8.1 Prediction Interval

4-8 Other Interval Estimates for a

Single Sample

4-8.2 Tolerance Intervals for a Normal Distribution

4-10 Testing for Goodness of Fit

So far, we have assumed the population or probability distribution for a particular problem is known.

There are many instances where the underlying distribution is not known, and we wish to test a particular distribution.

Use a goodness-of-fit test procedure based on the chi-square distribution.