Question1: (Marks:2+2+2+4=10 (a) Give ananswer of the followings: (b) A paint re

Question

Question1:                                                                                                              (Marks:2+2+2+4=10

(a)       Give ananswer of the followings:

(b)                                                    

A paint retailer has had numerous complaints from customersabout under-filled paint cans. As a result retailer started toinspect the incoming shipments. A recent shipment contained 2,440gallon-size cans. The retailer sampled 50 cans and weighted each ona scale capable of measuring weight up to four decimal places andproperly filled cans weight 10pounds.             

Now for this problem

Question2:                                                                                                                       Marks: 2+2+6=10

(a) How collection of data is performed withthe help of enumerators?                              

(b) Average height of the students in a schoolis 5.2 inches. A sample of 12 students showed the following heightsin inches.

5.0, 5.3, 5.2, 4.9, 4.11, 5.0, 5.5, 5.4, 5.1, 5.0, 5.2, 4.10

Calculate the samplingerror.                       

Explanation / Answer

Question1:                                                                                                              (Marks:2+2+2+4=10

(a)      Give an answer of the followings:

For aseries mean is 5 and mode is 2, find median of the series

Answer:

Mode = 3Median– 2Mean

2 = 3Median– 2(5)

2 =3Median – 10

2 + 10 =3Median

12 =3Median

Median =12/3

Median = 4

What isaim of collecting numerical data for a statistical study?

Answer:

For astatistical study, numerical data must be calculated to process thestatisticsand different formulas of statistics on a project to get sufficientinformationon that project. Conducting different statistics on a project helps indecisionmaking based on numerical data, also called quantitative data.

Write downthe functions of statistics.

Answer:

(1) Statisticshelps in providing a better understanding and exact description of aphenomenonof nature.

(2) Statisticalhelps in proper and efficient planning of a statistical inquiry in anyfield ofstudy.

(3) Statisticalhelps in collecting an appropriate quantitative data.

(4) Statisticshelps in presenting complex data in a suitable tabular, diagrammatic andgraphic form for an easy and clear comprehension of the data.

(5) Statisticshelps in understanding the nature and pattern of variability of aphenomenonthrough quantitative observations.

(6) Statisticshelps in drawing valid inference, along with a measure of theirreliabilityabout the population parameters from the sample data.

(b)        A paintretailer has hadnumerous complaints from customers about under-filled paint cans. As aresultretailer started to inspect the incoming shipments. A recent shipmentcontained2,440 gallon-size cans. The retailer sampled 50 cans and weighted eachon ascale capable of measuring weight up to four decimal places and properlyfilledcans weight 10 pounds.              

Now forthis problem

Describe apopulation

Describe avariable of interest

Describethe data type of variable

Describe asample         

Answer:

Population: 2,440gallon-size cans

Variable of interest:Weight of cans

Data type of variable:Continuous variable

Sample: A sample isthe number of units drawn in randomfrom a large amount of population.

Question2:                                                                                                                       Marks:2+2+6=10

(a) How collection ofdata is performed with the helpof enumerators?

Answer:

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