# Basic Statistical problems

1)the following data:

Table 1C Below

Manufacturer

Sales (in Millions)

Bosch-Siemens $ 3,200

Electrolux $ 2,100

General Electric $ 6,350

Philips $ 1,800

Maytag $ 2,480

Whirlpool $ 8,950

Matsushita Electric $ 2,180

Total $ 27,060

Represents the annual worldwide sales ( in millions of dollars) of appliances by manufacturer for a given year. On the basis of the results above, which three manufactures collectively sell the most appliances in terms of sales on an annual basis? What is their collective share of the market? Explain

2) The following raw data is the result of selecting a random sample of new Ford Escorts and testing these cars for fuel efficiency (results are in miles per gallon: Here is the excel descriptive statistics.

Table 2A Below

Descriptive statistics

Miles per Gallon

Count 18

Mean 36.350

sample variance 3.037

sample standard

deviation 1.743

Minimum 33

Maximum 38.2

Range 5.2

Skewness -0.735

Kurtosis -0.739

coefficient of variation

(CV) 4.79%

1st quartile 35.225

Median 36.500

3rd quartile 37.800

interquartile range 2.575

Mode 37.800

Table 2A Continued

Stem and Leaf plot for Miles per Gallon

stem unit = 1

leaf unit = 0.1

Frequency Stem Leaf

2 33 0 2

2 34 2 3

2 35 1 6

4 36 3 4 5 5

5 37 6 8 8 8 9

3 38 0 1 2

18

Part A; discuss the property of variation for this data. Give specific ranges together with the percentage of data we'd expect to fall within that range. Also, what are the quartiles and what do they tell us?

Part B

Is the data skewed? If so how?

Part C

If you were advising Ford dealers on what to tell customers about fuel economy in the ford Escort, what would y ou tell them? Be specific and justify.

3)The following table:

Table 3C Below

East South Midwest West Totals

Hospitalization 102 98 39 62 301

Physician's Visit 263 514 120 351 1248

Outpatient Treatment 100 226 65 99 490

Totals 465 838 224 512 2039

Gives the number of claims at a large insurance company by kind and geographical region.

Part A

Refer to table, if a bill is chosen at random, what is the probability that it is either from the Midwest or from the south?

Part B

Refer to table, given that the bill is from the east, what is the probability that it is for a Physicians Visit?

4)The probability of obtaining a home equity loan from United Bank is 0.40. A random sample of 10 loan applications is selected. Find the probability that at least 7 will get a loan.

The appropriate binomial table is: Table 4A Below

Binomial Distribution

10 n

0.4 p

cumulative

X p(X) probability

0 0.00605 0.00605

1 0.04031 0.04636

2 0.12093 0.16729

3 0.21499 0.38228

4 0.25082 0.63310

5 0.20066 0.83376

6 0.11148 0.94524

7 0.04247 0.98771

8 0.01062 0.99832

9 0.00157 0.99990

10 0.00010 1.00000

#### Solution Summary

Step by step method for solving some basic statistical problems are included here.