Prepare appropriate frequency distribution

Assignment Help Basic Statistics
Reference no: EM13653386

Part - 1:

A survey was conducted among the residents of Pune City, its suburbs and the Pune Cantonment area. The following three pie diagrams show their respective preferences for living in City, Suburb and cantonment.

489_Prepare appropriate frequency distribution.png

Questions:
1. Do you see similar preference distribution in the three groups of residents?
2. Which residents are most happy about where they are actually living?
3. Which residents are the least happy about where they are actually living?

2. Description

Suppose you are doing market research for a company that sells automotive accessories. You are interested in the types of cars driven by customers of a particular mall. On one particular day, you count the following types of cars in the lot:

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Family car                   Economy car               Economy car               Utility van

Family car                   Wagon                         Wagon                         Wagon

Sports car                    Economy car               Utility van                   Family car

Pickup truck                Utility van                   Sports car                    Utility van

Wagon                         Wagon                         Wagon                         Family car

Pickup truck                Utility van                   Sports car                    Utility van

Economy car               Economy car               Utility van                   Sports car

Utility van                   Sports car                   

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Questions:

1. Prepare appropriate frequency distribution

2. Represent above data by suitable graph

3. Description:

In a series of four one day cricket matches, Sachin and Sourav Scored as follows:

Sachin:            99                    116                  95                    110

Sourav:       110                       145*                40                      20

* : not out

Question: If you have to select the ‘Man of the Series' out of these two only whom will you select? Why?

4. Description

Following are the data on height of father (X) and height of son (Y)

X (in cms)

165

166

167

167

168

169

170

172

Y (in cms)

167

168

165

168

172

172

169

171


Questions

(a) Plot these data and comment on the nature of relationship between the two variables under consideration.

(b) Find correlation between (X, Y).

5. Using the data in Q. 4 above, find regression equation of height of son on father's height.

Part - 2:

A financial record of two companies A and B are examined to determine whether each company showed a profit (P) or not (N) during the last financial year.

Question: (a) Is this a random experiment? Justify your answer.

(b) List the simple events associated with this experiment.

(c) Suppose P(A shows profit) = 0.8 and P(B shows profit) = 0.2, what is the probability that either of the company shows profit.? (State assumptions).

2. Description

In the following Venn diagram the ten sample points shown are equally likely.

328_Venn diagram.png

Question: State following probabilities:
1. P(A), P(B), P( )
2. Are A and B mutually exclusive and exhaustive? Justify your answer.

Case 3: Description

Study the following diagrams and answer the questions

Following are the marks awarded to 8 competitors by two judges during a music competition.

Participant No.

1

2

3

4

5

6

7

8

Judge 1

75

78

83

56

89

90

65

95

Judge 2

72

80

83

60

92

94

70

93

Question: Can you say that two judges agree with each other.

Case 4: Description

A person visits a family having three children. He notices that one male child was playing with toys.

Question :

(a) State the sample space of this experiment.

(b) What is the probability the family has all children of the same sexes?

(c) What is the probability that family has children of both the sexes?.

Case 5: Description

It is hypothesized that average performance of female students is better than male students in the subject of Mathematics of HSC examination. To test the claim a student randomly selects 8 male and 8 female students from his class and records the marks in Mathematics. Following are the marks in Mathematics of selected students:

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Student No:                1          2          3          4          5          6          7          8

Male student               65        72        61        56        76        81        63        85

Female student            85        81        76        61        72        56        63        100

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Question

(a) Suggest appropriate statistical analysis of the above data.

(b) Can you apply any test to check the claim? Give in brief the details of the test and perform it on the above data and conclude.

Reference no: EM13653386

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