I-      Explain the practical interpretation of Why Sample with examples? II-     What is the difference between Point and Interval Estimation with real life examples? III-   In a study of the effects of early Alzheimer’s disease on nondeclarative memory, Reber et al. (A-2) used the Category Fluency Test to establish baseline persistence and semantic memory and language abilities. The eight subjects in the sample had Category Fluency Test scores of 11, 10, 16, 13, 21, 30, 19, 15, 25, 11. Assume that the eight subjects constitute a simple random sample from a normally distributed population of similar subjects with early Alzheimer’s disease.   (a) What is the point estimate of the population mean? (b) What is the standard deviation of the sample? (c) What is the estimated standard error of the sample mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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I-      Explain the practical interpretation of Why Sample with examples?

II-     What is the difference between Point and Interval Estimation with real life examples?

III-   In a study of the effects of early Alzheimer’s disease on nondeclarative memory, Reber et al. (A-2) used the Category Fluency Test to establish baseline persistence and semantic memory and language abilities. The eight subjects in the sample had Category Fluency Test scores of 11, 10, 16, 13, 21, 30, 19, 15, 25, 11. Assume that the eight subjects constitute a simple random sample from a normally distributed population of similar subjects with early Alzheimer’s disease.

 

(a) What is the point estimate of the population mean?

(b) What is the standard deviation of the sample?

(c) What is the estimated standard error of the sample mean?

(d) Construct a 95 percent confidence interval for the population mean category fluency test score.

(e) What is the precision of the estimate?

(f) State the probabilistic interpretation of the confidence interval you constructed.

(g) State the practical interpretation of the confidence interval you constructed.

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