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Chapter 1: 1.1 (page 12)

In a famous experiment carried out in 1882, Michelson,and Newcomb obtained 66 observations on the time it took for light to travel between two locations in Washington, D.C. A few of the measurements(coded in a certain manner) were 31, 23, 32, 36, 22, 26, 27, and 31.

a. Why are these measurements not identical?

b. Is this an enumerative study? Why or why not?

Short Answer

Expert verified

a.Nonidenticalmeasurements are because of the errors such as recording error, measurement error etc.

b.The study is not enumerative.

Step by step solution

01

Given information

The number of observations Michelson and Newcomb obtained on the time it took for the light to travel between two locations is 66.

A few measurements that were coded in a certain manner are 31,23,32,36,22,26,27, and 31.

02

Explain the reason for nonidentical measurements.

a.

The provided measurements are nonidentical because of certain errorssuch as measurement error, changing of the environment when recoding the time, recoding error etc.

03

Check whether the study is enumerative.

b.

The study is said to beenumerativeif the population from which the sample is selected is finite and identifiable.

In the provided scenario, the population data is not provided. Therefore, it is not an enumerative study.

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Most popular questions from this chapter

The weekly demand for propane gas (in \({\rm{1000s}}\) of gallons) from a particular facility is an \({\rm{rv}}\) \({\rm{X}}\) with pdf

\({\rm{f(x) = }}\left\{ {\begin{array}{*{20}{c}}{{\rm{2}}\left( {{\rm{1 - }}\frac{{\rm{1}}}{{{{\rm{x}}^{\rm{2}}}}}} \right)}&{{\rm{1}} \le {\rm{x}} \le {\rm{2}}}\\{\rm{0}}&{{\rm{ otherwise }}}\end{array}} \right.\)

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a. Show how\({\bar x_{n + 1}}\)can be computed from\({\bar x_n}\)and\({x_{n + 1}}\).

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\(ns_{n + 1}^2 = \left( {n - 1} \right)s_n^2 + \frac{n}{{n + 1}}{\left( {{x_{n + 1}} - {{\bar x}_n}} \right)^2}\)

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c. Suppose that a sample of 15 strands of drapery yarn has resulted in a sample mean thread elongation of 12.58 mm and a sample standard deviation of .512 mm. A 16th strand results in an elongation value of 11.8. What are the values of the sample mean and sample standard deviation for all 16 elongation observations?

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Draw the histogram and then comment on any interesting features.

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