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GM03 – AIMA’s 2014

 

 

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GM03
 
Business Statistics
Assignment – I
  Assignment Code: 2014GM03B1                                      Last Date of Submission: 15th October  2014
                                                                                      Maximum Marks: 100
Attempt all the questions. All the questions are compulsory and carry equal marks.
                                                                         Section-A
 
1.                  Prof. Hardtack gave four Friday quizzes last semester in his 10-student senior tax accounting class as follows:
Quiz 1 60 60 60 60 71 73 74 75 88 99
Quiz 2 65 65 65 65 70 74 79 79 79 79
Quiz 3 66 67 70 71 72 72 74 74 95 99
Quiz 4 10 49 70 80 85 88 90 93 97 98
a)                  Find the mean, median, mode for each quiz.
            b)         Based on the results obtained in (a) above, indicate the measure of central
                        tendency you would like to use for each of the quizzes with reasons.
2.         A biometric security devise using fingerprints erroneously refuses to admit 1 in 1000       authorized persons from a facility containing classified information. The device will     erroneously admit 1 in 10,00,000 unauthorized persons. Assume that 95% of those who        seek access are authorized. If the alarm goes off and a person is refused admission,      what is the probability that really authorized?
3.         Suppose the waiting time to get food after placing an order at a fast-food restaurant is   exponentially distributed with a mean of 60 seconds. If a randomly selected customer    orders food at the restaurant, what is the probability that the customer will have to wait         at least two minutes?
4.         A family has two children — one male child and the other a female child. Both the            children are grown up and their daily expenditure is believed to be normally distributed          with a mean of Rs.80 and Rs.60 for the male and the female child with standard      deviation of Rs.20 and Rs.10 respectively. Find the probability that the two child         together have an expenditure of more than Rs. 160.
Section-B
 
Case Study
 
A car manufacturer who is producing cars at the rate of 4000 cars a month requires to procure ignition equipment from vendors. The company has a policy of placing orders for 12000 ignition equipment every time they order. The vendor has indicated that 3 % of the ignition equipment is likely to be faulty in each shipment. Since it is not possible to test each and every ignition equipment by the car manufacturer, the manufacturer decides to randomly sample 200 ignition equipment and if more than 2 of them are found to be defective the entire batch of order shall be returned back.
Case Questions:
a)         What sampling method would you suggest for the car manufacturer?
b)         What is the probability that the batch will be returned back to the vendor.
 
GM03
Business Statistics
Assignment – II
Assignment Code: 2014GM03B2                                                                                         Last Date of Submission: 15th November 2014
                                                                                                    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.

Dear Students,

 

AIMS MBA 2014-15 Assignments are available. For Booking ,

Kindly mail us on kvsude@gmail.com OR call us to +91 9995105420 or S M S your “ Email ID ” us in the following Format

“ On +91 9995105420 we will reach back you with in 24H ”

 

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