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week13.pptx5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.1 Hypothesis Testing on the Difference in
Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.1 Hypothesis Testing on the Difference in
Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.1 Hypothesis Testing on the Difference in
Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.1 Hypothesis Testing on the Difference in
Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.1 Hypothesis Testing on the Difference in
Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.2 Type II Error and Choice of Sample Size
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.3 Confidence Interval on the Difference
in Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.3 Confidence Interval on the Difference
in Means
5-3 Inference on the Means of Two
Populations, Variances Unknown
5-3.3 Confidence Interval on the Difference
in Means
5-4 The Paired t-Test
A special case of the two-sample t-tests of Section 5-3 occurs when the observations on the two populations of interest are collected in pairs.
Each pair of observations, say (X1j , X2j ), is taken under homogeneous conditions, but these conditions may change from one pair to another.
The test procedure consists of analyzing the differences between hardness readings on each specimen.
5-4 The Paired t-Test
5-4 The Paired t-Test
5-4 The Paired t-Test
5-4 The Paired t-Test
5-4 The Paired t-Test
Paired Versus Unpaired Comparisons
5-4 The Paired t-Test
Confidence Interval for D
5-4 The Paired t-Test
5-4 The Paired t-Test
