Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

problem 1)a) What do you know about frequency distribution and its significance. How do we construct it? 

b) For the purpose of performance evaluation and quota adjustment, Mr. Hanif monitored auto sales of his 40 salespeople. Over a 1-month period, he sold the following number of cars:

7       8     5   10    9    10     5    13    8    6
10    11    6    5    10    11    10   5     9    13
8      12    8    8    10    15    7    6     8     8
5       6     9    7    14    8      7    5     5    14

(i) Based on frequency, what would be the desired class marks (midpoints of the intervals)?

(ii) Create a frequency and relative frequency distribution having as many of these marks as possible. Make your intervals evenly spaced and at least two cars wide.

(iii) If sales fewer than seven cars a month are considered unacceptable performance, which of the two answers, (a) or (b), helps you more in identifying unsatisfactory group of salespeople?

problem 2)a) What do you mean by frequency Polygon and Ogives. How do we draw these?

b) For the following frequency distribution, find out:   

i) The median class.

ii) The width of the equal steps in median class.

iii) The estimated value of the median for these data.

Class              Frequency        Class           Frequency

100 – 149.5       12             300 – 349.5         72
150 – 199.5       14             350 – 399.5         63
200 – 249.5       27             400 – 449.5         36
250 – 299.5       58             450 – 499.5         18

problem 3)a)    State life Insurance provides information to its subscribers to allow them to evaluate performance of mutual funds they are considering as potential investment vehicles. A recent survey of funds whose stated investment goal was growth and income produced the following data on total annual rate of return over the past five years:

Annual return (%)    11.0 – 11.9    12.0 – 12.9    13.0 – 13.9    14.0 – 14.9    15.0 – 15.9    16.0 – 16.9    17.0 – 17.9    18.0 – 18.9
Frequency                       2                  2                    8                 10                  11                  8                  3                   1

i) Compute the mean, variance, and standard deviation of annual rate of return for this sample of 45 funds.

ii) According to Chebyshev’s theorem, between what values must at least 75 percent of the sample observations fall? What percentage of observations actually does fall in that interval?

iii) As the distribution is roughly bell-shaped, between what values would you expect to find 68 percent of observations? What percentage of observations actually does fall in that interval?

b) Students’ ages in regular daytime M.B.A. program and evening program of AIOU are described by these two samples:

Regular M.B.A    23    29    27    22    24    21    25    26    27    24
Evening M.B.A    27    34    30    29    28    30    34    35    28    29

If homogeneity of class is a positive factor in learning, use measure of relative variability to suggest which of the two groups will be easier to teach.

problem 4)a)    The engineer tested nine samples of each of three designs of a certain bearing for a new electrical winch. The following data are the number of hours it took for each bearing to fail when the winch motor was run continuously at maximum output, with a load on the winch equivalent to 1.9 times the intended capacity.

       Design

A       B    C
16    18    31
16    27    16
53    23    42
15    21    20
31    22    18
17    26    17
14    39    16
30    17    15
20    28    19

i) Compute the mean and median for each group.

ii) Based on your answer, which design is best and why?

b) Irfan Ahmad does statistical analyses for automobile racing team. Here are the fuel consumption figures in miles per gallon for the team’s cars in recent races:

4.77    6.11    6.11    5.05    5.99    4.91    527    6.01
5.75    4.89    6.05    5.22    6.02    5.23    6.11    5.02

i) Compute the mean and median fuel consumption.

ii) Group the data into five equally sized classes. What is the fuel consumption value of the modal class?

iii) Which of the three measures of central tendency is best for Irfan to use when he orders fuel? Describe.

problem 5)a)    How would you reply to following statement: “Variability is not important factor as even though the outcome is more uncertain, you still have equal chance of falling either above or below the median. Thus, on average, the outcome will be the same.”   

b) Sarsabz Seed Company sells three grades of Early White Sugar corn seed, distinguished according to the consistency of germination of the seeds. The state seed testing laboratory has a sample of each grade of seed and its test results on the number of seeds that germinated out packages of 100 are as follows.

Grade I (Regular)    88    91    92    89    79
Grade II (Extra)      87    92    88    90    92
Grade III (Super)    90    89    79    93    88

Does Company’s grading of its seed make sense?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M96080

Have any Question? 


Related Questions in Statistics and Probability

Imagine that you conduct a study to test the average level

Imagine that you conduct a study to test the average level of guilt experienced by Christians, Jews, Buddhists, Muslims, and Hindus. Could you use an ANOVA to analyze your data? Why or why not?

Pretend we are playing a coin-tossing game we will toss 100

Pretend we are playing a coin-tossing game. We will toss 100 pennies (all distinguishable) into the air, and there is an equal chance they will land on the table or on the floor. What is the dimensionless entropy associa ...

1 what are quasi-experimental research designs and when are

1. What are quasi-experimental research designs, and when are they used in behavioral research? What advantages and disadvantages do they have in comparison to experimental research? 2. What are the most important threat ...

An alternative to the experiment in q3 to investigate

An alternative to the experiment in Q.3 to investigate whether loud music tends to increase the time it takes mice to complete a maze would involve randomly assigning say, 50 mice to two groups. The 25 mice in Group A (c ...

Binomial stock option modelingsuppose you have the

Binomial Stock Option Modeling Suppose you have the opportunity to buy the following contract, a stock call option, on March 1. The contract allows you to buy 100 shares of XYZ stock at the end of either March, April, or ...

The initial research proposal will consist of the following

The initial research proposal will consist of the following SIX (6) items: 1. Identify a business research topic 2. Define the research questions for the identified problem or opportunity 3. Select the appropriate resear ...

Three individuals are seated in a room each one of them is

Three individuals are seated in a room. Each one of them is wearing a hat, which may be either red or white. Each of them sees the hats worn by the others, but cannot see his own hat (and in particular does not know its ...

Consider the extensive-form game and the scenario shown in

Consider the extensive-form game and the scenario shown in given Figure. a. Compute belief probabilities that are consistent with this scenario. b. For each player, at each of his information states, compute the sequenti ...

Romeo composes a letter to juliet and gives it to tybalt to

Romeo composes a letter to Juliet, and gives it to Tybalt to deliver to Juliet. While on the way, Tybalt peeks at the letter's contents. Tybalt gives Juliet the letter, and Juliet reads it immediately, in Tybalt's presen ...

A geologist collects hand-specimen sized pieces of

A geologist collects hand-specimen sized pieces of limestone from a particular area. A qualitative assessment of both texture and color is made with the following results. Is there evidence of association between color a ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen