/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q8E The amount of flow through a sol... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q8E (page 12)

The amount of flow through a solenoid valve in an automobile鈥檚

pollution-control system is an important characteristic. An experiment was carried out to study how flow rate depended on three factors: armature length, spring load, and bobbin depth. Two different levels (low and high) of each factor were chosen, and a single observation on flow was made for each combination oflevels.

a. The resulting data set consisted of how manyobservations?

b. Is this an enumerative or analytic study? Explainyour reasoning.

Short Answer

Expert verified

The number of observations is 8.

The study is analytic.

Step by step solution

01

Given information

A study was conducted on how flow rate depended on three factors; armature length, spring load, and bobbin depth.

Two levels of each factor were selected and a single observation on flow was made for each combination of levels.

02

Compute the number of observations

a.

Consider L and H represents low and high levels for each factor. The three factors are Armature as A, Spring load as S and Bobbin depth as B.

Since the number of factors is 3 and the number of levels is 2.

The total number of observations is computed as,

\(\begin{array}{c}{\rm{Number of observations}} &=& 2*2*2\\ &=& 8\end{array}\)

Therefore, the number of observations is 8.

The 8 possible observations are:

\(\left\{ \begin{array}{l}\left( {{L_A},{L_S},{L_B}} \right),\left( {{L_A},{L_S},{H_B}} \right),\left( {{L_A},{H_S},{L_B}} \right),\left( {{H_A},{L_S},{L_B}} \right),\\\left( {{L_A},{H_S},{H_B}} \right),\left( {{H_A},{L_S},{H_B}} \right),\left( {{H_A},{H_S},{L_B}} \right),\left( {{H_A},{H_S},{H_B}} \right)\end{array} \right\}\)

03

Check whether the study is enumerative or analytic

An enumerative study is a study where the population is finite whereas an analytic study is a study where the population from which a sample is drawn is nonidentifiable.

The provided study is an analytic study as the study analyses the amount of flow through solenoid valve in an automobiles pollution control system. The provided study is conducted to get the information from the existing process.

Therefore, there is no sampling frame.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Fretting is a wear process that results from tangential oscillatory movements of small amplitude in machine parts. The article 鈥淕rease Effect on Fretting Wear of Mild Steel鈥� (Industrial Lubrication and Tribology, 2008: 67鈥�78) included the following data on volume wear (1024 mm3 ) for base oils having four different viscosities.

Viscosity Wear
20.4 58.8 30.8 27.3 29.9 17.7 76.5
30.2 44.5 47.1 48.7 41.6 32.8 18.3
89.4 73.3 57.1 66.0 93.8 133.2 81.1
252.6 30.6 24.2 16.6 38.9 28.7 23.6

a. The sample coefficient of variation 100s/x-bar assesses the extent of variability relative to the mean (specifically, the standard deviation as a percentage of the mean). Calculate the coefficient of variation for the
sample at each viscosity. Then compare the results and comment.
b. Construct a comparative boxplot of the data and comment on interesting features.

Blood cocaine concentration (mg/L) was determined both for a sample of individuals who had died from cocaine-induced excited delirium (ED) and for a sample of those who had died from a cocaine overdose without excited delirium; survival time for people in both groups was at most 6 hours. The accompanying data was read from a comparative boxplot in the article 鈥淔atal Excited Delirium Following Cocaine Use鈥� (J.

of Forensic Sciences, 1997: 25鈥�31).

ED0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3

.3 .4 .5 .7 .8 1.0 1.5 2.7 2.8

3.5 4.0 8.9 9.2 11.7 21.0

Non-ED0 0 0 0 0 .1 .1 .1 .1 .2 .2 .2

.3 .3 .3 .4 .5 .5 .6 .8 .9 1.0

1.2 1.4 1.5 1.7 2.0 3.2 3.5 4.1

4.3 4.8 5.0 5.6 5.9 6.0 6.4 7.9

8.3 8.7 9.1 9.6 9.9 11.0 11.5

12.2 12.7 14.0 16.6 17.8

a. Determine the medians, fourths, and fourth spreads for the two samples.

b. Are there any outliers in either sample? Any extreme outliers?

c. Construct a comparative boxplot, and use it as a basis for comparing and contrasting the ED and non-ED samples.

Let \({{\rm{X}}_{\rm{1}}}{\rm{,}}{{\rm{X}}_{\rm{2}}}.....{\rm{,}}{{\rm{X}}_{\rm{n}}}\) represent a random sample from the Rayleigh distribution with density function given in Exercise \({\rm{15}}\). Determine a. The maximum likelihood estimator of \({\rm{\theta }}\), and then calculate the estimate for the vibratory stress data given in that exercise. Is this estimator the same as the unbiased estimator suggested in Exercise \({\rm{15}}\)? b. The mle of the median of the vibratory stress distribution. (Hint: First express the median in terms of \({\rm{\theta }}\).)

The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:

Number of particles 0 1 2 3 4 5 6 7

Frequency1 2 3 12 11 15 18 10

Number of particles8 9 10 11 12 13 14

Frequency12 4 5 3 1 2 1

a. What proportion of the sampled wafers had at leastone particle? At least five particles?

b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?

c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?

An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records,\({\rm{20 \% }}\)of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. a. If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? b. If six reservations are made, what is the expected number of available places when the limousine departs? c. Suppose the probability distribution of the number of reservations made is given in the accompanying table.

Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.