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Stats- Assignment 4 /Case Study: Chest Sizes of Scottish Militiamen (p.306): Answer a, b, c, d. You must calculate results by hand (though you may use any technology of your choice to verify your answers).

Stats- Assignment 4 /Case Study: Chest Sizes of Scottish Militiamen (p.306): Answer a, b, c, d. You must calculate results by hand (though you may use any technology of your choice to verify your answers).

306 CHAPTER 6 The Normal Distribution
-_____._-
FOCUSI NG ON DATA ANALYSIS
UWEC UNDERG RADUATES
Recall from Chapter 1 (see page 34) that the Focus database and c. Based on your results from part (a), which of the variables
Focus sample contain information on the undergraduate students at considered there appear to be far from normally distributed?
the University of Wisconsin – Eau Claire (UWEC). Now would be a
good time for you to review the discussion about these data sets. , If your statistlcal software package WIH accommodate the.
Begin by opening the Focus sample (FocusSample) in the ent1re Focus database (Focus), open that worksheet.
statistical software package of your cho1ce. d. Obtain a histogram for each of the following variables: high,
3. Obtain a normal probability plot of the sample data for each SChOOl percentile, cumulative GPA’ age, total earned credits,
of the following variables: high school percentile, cumulative ACT Engllsh score, ACT math score, and ACT composue
GPA, age, total earned credits, ACT English score, ACT math score.
score, and ACT composite score. e. In View of the histograms that you obtalned 1n part (d), oom-
b. Based on your results from part (a), which of the variables con- ment on your answers in parts (b) and (C)’
sidered there appear to be approximately normally distributed?

g. ‘i .. CASE STU DY DISCUSSION
9:
g CHEST SIZES OF SCOTTISH MILITIAMEN
On page 263, we presented a frequency distribution for data on c. Use the table on page 263 to find the percentage of mili-
chest circumference, in inches, for 5732 Scottish militiamen. As tiamen in the survey with chest circumference between 36
mentioned there, Adolphe Quetelet used a procedure for fitting a and 41 inches, inclusive. Note: As the circumferences were
normal curve to the data based on the binomial distribution. Here rounded to the nearest inch, you are actually finding the per-
you are to accomplish that task by using techniques that you stud- centage of militiamen in the survey with chest circumference
ied in this chapter. between 35.5 and 41 .5 inches.
C 1 _ f h’ f h h , (I. Use the normal curve you identified in part (b) to obtain an ap-
a. f onstruclt a re ative- lrequenbcy :mgram 3” 61C est Circum- proximation to the percentage of militiamen in the survey with
b “thlpctfpuellattztlioliishliga;:81ngSpogilelatfonnitszihlgaidlzeveiation of the chest Circumference between 35.5 and 41.5 inches. Compare
t th t t f d ‘ t
chest Circumferences are 39.85 and 2.07, respectively. Identify your answer 0 e exac percen age oun in par (C)
the normal curve that should be used for the chest circumfer-
ences.

Q BIOGRAPHY
KN CARL FRIEDRICH GAUSS: CHILD PRODIGY
Carl Friedrich Gauss was born on April 30, 1777, in Brunswick, numbers and proved the fundamental theorem of algebra, which
Germany, the only son in a poor, semiliterate peasant family; he had previously been only partially established. Shortly thereafter,
taught himself to calculate before he could talk. At the age of 3, Gauss published his theory of numbers, which is considered one
he pointed out an error in his father’s calculations of wages. In of the most brilliant achievements in mathematics.
addition to his arithmetic experimentation, he taught himself to Gauss made important discoveries in mathematics, physics,
read. At the age of 8, Gauss instantly solved the summing of all astronomy, and statistics. Two of his major contributions to statiS-
numbers from 1 to 100. His father was persuaded to allow him to tics were the development of the least-squares method and funda-
stay in school and to study after school instead of working to help mental work with the normal distribution, often called the Gaus-
support the family. sian distribution in his honor.

Impressed by Gauss’s brilliance,the Duke ofBrunswick sup- In 1807, Gauss accepted the directorship of the observa-
ported him monetarily from the ages of 14 to 30. This patronage tory at the University of Gottingen, which ended his dependence
permitted Gauss to pursue his studies exclusively. He conceived on the Duke of Brunswick. He remained there the rest of his
most of his mathematical discoveries by the time he was 17. life. In 1833, Gauss and a colleague, Wilhelm Weber, invented a
Gauss was granted a doctorate in absentia from the university at working electric telegraph, 5 years before Samuel Morse. Gauss
Helmstedt; his doctoral thesis developed the concept of complex died in Gottingen in 1855.

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Stats- Assignment 4 /Case Study: Chest Sizes of Scottish Militiamen (p.306): Answer a, b, c, d. You must calculate results by hand (though you may use any technology of your choice to verify your answers).

306 CHAPTER 6 The Normal Distribution
-_____._-
FOCUSI NG ON DATA ANALYSIS
UWEC UNDERG RADUATES
Recall from Chapter 1 (see page 34) that the Focus database and c. Based on your results from part (a), which of the variables
Focus sample contain information on the undergraduate students at considered there appear to be far from normally distributed?
the University of Wisconsin – Eau Claire (UWEC). Now would be a
good time for you to review the discussion about these data sets. , If your statistlcal software package WIH accommodate the.
Begin by opening the Focus sample (FocusSample) in the ent1re Focus database (Focus), open that worksheet.
statistical software package of your cho1ce. d. Obtain a histogram for each of the following variables: high,
3. Obtain a normal probability plot of the sample data for each SChOOl percentile, cumulative GPA’ age, total earned credits,
of the following variables: high school percentile, cumulative ACT Engllsh score, ACT math score, and ACT composue
GPA, age, total earned credits, ACT English score, ACT math score.
score, and ACT composite score. e. In View of the histograms that you obtalned 1n part (d), oom-
b. Based on your results from part (a), which of the variables con- ment on your answers in parts (b) and (C)’
sidered there appear to be approximately normally distributed?

g. ‘i .. CASE STU DY DISCUSSION
9:
g CHEST SIZES OF SCOTTISH MILITIAMEN
On page 263, we presented a frequency distribution for data on c. Use the table on page 263 to find the percentage of mili-
chest circumference, in inches, for 5732 Scottish militiamen. As tiamen in the survey with chest circumference between 36
mentioned there, Adolphe Quetelet used a procedure for fitting a and 41 inches, inclusive. Note: As the circumferences were
normal curve to the data based on the binomial distribution. Here rounded to the nearest inch, you are actually finding the per-
you are to accomplish that task by using techniques that you stud- centage of militiamen in the survey with chest circumference
ied in this chapter. between 35.5 and 41 .5 inches.
C 1 _ f h’ f h h , (I. Use the normal curve you identified in part (b) to obtain an ap-
a. f onstruclt a re ative- lrequenbcy :mgram 3” 61C est Circum- proximation to the percentage of militiamen in the survey with
b “thlpctfpuellattztlioliishliga;:81ngSpogilelatfonnitszihlgaidlzeveiation of the chest Circumference between 35.5 and 41.5 inches. Compare
t th t t f d ‘ t
chest Circumferences are 39.85 and 2.07, respectively. Identify your answer 0 e exac percen age oun in par (C)
the normal curve that should be used for the chest circumfer-
ences.

Q BIOGRAPHY
KN CARL FRIEDRICH GAUSS: CHILD PRODIGY
Carl Friedrich Gauss was born on April 30, 1777, in Brunswick, numbers and proved the fundamental theorem of algebra, which
Germany, the only son in a poor, semiliterate peasant family; he had previously been only partially established. Shortly thereafter,
taught himself to calculate before he could talk. At the age of 3, Gauss published his theory of numbers, which is considered one
he pointed out an error in his father’s calculations of wages. In of the most brilliant achievements in mathematics.
addition to his arithmetic experimentation, he taught himself to Gauss made important discoveries in mathematics, physics,
read. At the age of 8, Gauss instantly solved the summing of all astronomy, and statistics. Two of his major contributions to statiS-
numbers from 1 to 100. His father was persuaded to allow him to tics were the development of the least-squares method and funda-
stay in school and to study after school instead of working to help mental work with the normal distribution, often called the Gaus-
support the family. sian distribution in his honor.

Impressed by Gauss’s brilliance,the Duke ofBrunswick sup- In 1807, Gauss accepted the directorship of the observa-
ported him monetarily from the ages of 14 to 30. This patronage tory at the University of Gottingen, which ended his dependence
permitted Gauss to pursue his studies exclusively. He conceived on the Duke of Brunswick. He remained there the rest of his
most of his mathematical discoveries by the time he was 17. life. In 1833, Gauss and a colleague, Wilhelm Weber, invented a
Gauss was granted a doctorate in absentia from the university at working electric telegraph, 5 years before Samuel Morse. Gauss
Helmstedt; his doctoral thesis developed the concept of complex died in Gottingen in 1855.

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

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