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GM03

Business Statistics

(For CNM Cases)

Assignment - II

Assignment Code: 2016GM03A2                                                   Last Date of Submission: 30^th April 2016

                                                                                                  Maximum Marks: 100

Attempt all the questions. All the questions are compulsory and carry equal marks.

                                                                         Section-A

1.         Last year television stations WXYZ’s share of the 11pm news audience was           approximately equal to 25%. The station’s management believes that the current   audience share is higher than last years 25% figure. In an attempt to substantiate this          belief, the station surveyed 400 11pm viewers and found that 146 watched WXYZ. Set        up the null and alternative hypothesis and test the same at 5% level of significance.         What is your conclusion?

2.         A retailer that sells home entertainment systems accumulated 10451 sales invoices         during the previous year. The total of the sales amount on these invoices as claimed by         the company is Rs.63,84,675. In order to estimate the true total sales for last year, an         independent auditor randomly selects 350 of the invoices and determines the actual   sales amounts by contacting the purchasers. The mean and standard deviation of the           350 samples sales amounts are Rs. 532 and standard deviation 168. Find the point and             interval estimate given that a 95% confidence is required.  Do you think that the sales     invoice claimed by the company are correct?

3.         One of the questions on the Business Week subscriber study was, “In the past 12 months when travelling for business, what type of airline ticket did you purchase most        often”. The data obtained are shown in the following table.

	Type of Flight
Type of Ticket	Domestic flights	International flights
First Class	29	22
Business / Executive class	95	121
Full fare economy /coach class	518	135

            Based on the above can it be concluded that type of ticket is dependent on the type of     flight taken. Use 5% level of significance.

4.         To study the effect of temperature on yield in a chemical process, five batches were       produced at each of three temperature levels. The results follow. Construct an analysis        of variance table. Use a 5% level of significance to test whether the temperature level has an effect on the mean yield of the process.

	Yield
Temperature
50degC	34	24	36	39	32
60degC	30	31	34	23	27
70degC	23	28	28	30	31

SECTION-B

Case Study

A research project was undertaken to determine if there is a relationship between the years of experience on the job (A) and efficiency rating of employees (B). The objective of the study was to predict the efficiency rating of the employee. The sample results are as follows:

Years of Job (A)	1	20	6	8	2	1	14	8	4	6
Efficiency rating (B)	6	5	3	5	2	2	4	3	3	4

                

a)         Which variable is the dependent variable?

b)         Find if there is correlation between the two variables and test the correlation       coefficient. (use 5% level of type I error) 

c)         Estimate the linear regression model. Do you think that the regression coefficient would             be significant at 5% level of significance?   Give reasons.

d)         Do you think the overall regression model would be significant? Give reasons.