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Q1.What do you understand by a Linear Programming Problem? What are its limitations? Discuss briefly the applications of linear programming in any functional area of management.
Q2. For the given of a random variable x and associated probabilities ( given in rows 1 and 2 of the following table ) work out the variance and standard deviation
X 2 3 4 5 6 7 8 9 10 Total
P(x) .05 .10 .30 .20 .05 .10 .05 .10 .05 1.00
Q3. What is the Hungarain mathod for the assingnment problem ?
Q4. What do you mean by correlation? Explain various type of correlation with the help of examples.
Q5. Boys of a certain age are known to have a mean weight of µ = 45 Kilograms. A complaint is made that the boys living in a municipal children’s home are underfed. As one bit of evidence, n = 50 boys (of the same age) are weighed and found to have a mean weight of x¯¯ = 41.5 Kilograms. It is known that the population standard deviation s is 5.6 Kilograms
CASE STUDY
The length of life of an instrument produced by a machine has a normal ditribution with a mean of 14 months and standard deviation of 2.5 months. Find the probability that an instrument produced by this machine will last
Q1.between 10 and 14 months.
Q2. less than 10 months.
Q3. more than 10 months

Assignment -C

Q1: “Find the mode in following numbers:- 9,8,15,8,20”
a. 15
b. 8
c. 9
d. 20

Q2: SPSS stands for which of the following?
a. Statistical Package for the Social Sciences
b. Statistics Problems Solved Smart
c. Simple Package for Science Statistics
d. Simple Program for Statistics and Science

Q3: Mean or average used to measure central tendency is called
a. sample mean
b. arithmetic mean
c. negative mean
d. population mean

Q4: “The set of values of the statistic so obtained, one for each sample, constitutes what is called:”
a. Sampling distribution
b. Systematic sampling
c. Stratified sampling
d. Cluster sampling

Q5: The need for inferential statistical methods derives from the need for ______________.
a. Population
b. Association
c. Sampling
d. Probability

Q6: “A population, in statistical terms, is the totality of things under consideration. It is the collection of all values of the _____ that is under study.”
a. Instance
b. Variable
c. Amount
d. Measure

Q7: “In two units of company, employees in unit one are 650 and monthly salary is INR 2750, employees in unit two are 700 and monthly salary is INR 2500 then combined arithmetic mean is”
a. “INR 2,620”
b. “INR 2,520”
c. “INR 2,420”
d. “INR 2,320”

Q8: “When an investigator uses the data which has already been collected by others, such data is called ________.”
a. Primary data
b. Collected data
c. Processed data
d. Secondary data

Q9: For any discrete distribution standard deviation is not less than
a. Mean deviation from mean
b. Mean deviation from median
c. Mode
d. None of these

Q10: Arithmetic mean is 25 and all sum of observations is 350 then number of observations are
a. 25
b. 70
c. 14
d. 75

Q11: “Find the variance and standard deviation for the data:57,64, 43, 67, 49, 59, 44, 47, 61, 59”
a. 8.13
b. 4.2
c. 6.8
d. 8.89

Q12: ___________ is one which is collected by the investigator himself for the purpose of a specific inquiry or study.
a. Secondary data
b. Primary data
c. Statistical data
d. Published data

Q13: Diagrams such as cubes and cylinders are classified as
a. one dimension diagrams
b. two dimension diagram
c. three dimensional diagrams
d. dispersion diagrams

Q14: Sampling is simply a process of learning about the ___on the basis of a sample drawn from it.
a. Census
b. Population
c. Group
d. Area

Q15: Method used to compute average or central value of collected data is considered as
a. measures of positive variation
b. measures of central tendency
c. measures of negative skewness
d. measures of negative variation

Q16: “Find the range for the following data:14, 16, 16, 14, 22, 13, 15, 24, 12, 23, 14, 20, 17, 21, 22, 18, 18, 19, 20, 17, 16, 15, 11, 12, 21, 20, 17, 18, 19, 23”
a. 13
b. 12
c. 14
d. 16

Q17: The sampling errors arise due to drawing faulty inferences about the ____ based upon the results of the samples.
a. Sample
b. Survey
c. Population
d. Census

Q18: Which of the following statements are true?
a. “The larger the sample size, the greater the sampling error”
b. “The more categories or breakdowns you want to make in your data analysis, the larger the sample needed.”
c. “The fewer categories or breakdowns you want to make in your data analysis, the larger the sample needed.”
d. “As sample size decreases, so does the size of the confidence interval”

Q19: “Value of ?fx is 180, A= 22, and width of class interval is 5, arithmetic mean is 120 then observations are”
a. 59
b. 30
c. 39.5
d. 49.5

Q20: Branches of statistics includes
a. applied statistics
b. mathematical statistics
c. industry statistics
d. both a and b

Q21: The probability of rejecting the null hypothesis when it is true is called:
a. Level of confidence
b. Level of significance
c. Power of the test
d. Difficult to tell

Q22: Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called:
a. Null hypothesis
b. Alternative hypothesis
c. Statistical hypothesis
d. Composite hypothesis

Q23: “If Y = 2 – 0.2X, then the value of Y intercept is equal to:”
a. -0.2
b. 2
c. 0.2X
d. All of the above

Q24: The slope of the regression line of Y on X is also called the:
a. Correlation coefficient of X on Y
b. Correlation coefficient of Y on X
c. Regression coefficient of X on Y
d. Regression coefficient of Y on X

Q25: Covariance can vary from
a. -1 to + 1
b. ‘-infinity to + infinity
c. -1 to 0
d. 0 to + 1

Q26: “If the critical region is located equally in both sides of the sampling distribution of test-statistic, the test is called:”
a. One tailed
b. Two tailed
c. Right tailed
d. Left tailed

Q27: “When r=0 then covariance of (x,y) is equal to”
a. 1
b. -1
c. 0
d. None of these

Q28: The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected is said to be:
a. Critical region
b. Critical value
c. Acceptance region
d. Significant region

Q29: “In simple linear regression, the numbers of unknown constants are:”
a. One
b. Two
c. Three
d. Four

Q30: The choice of one-tailed test and two-tailed test depends upon:
a. Null hypothesis
b. Alternative hypothesis
c. None of these
d. Composite hypotheses

Q31: alfha / 2 is called:
a. One tailed significance level
b. Two tailed significance level
c. Left tailed significance level
d. Right tailed significance level

Q32: The range of test statistic-Z is:
a. 0 to 1
b. -1 to +1
c. 0 to ?
d. ‘-? to +?

Q33: “If byx = bxy = 1 and Sx = Sy, then r will be:”
a. 0
b. -1
c. 1
d. Difficult to calculate

Q34: The predicted rate of response of the dependent variable to changes in the independent variable is called:
a. Slope
b. Intercept
c. Error
d. Regression equation

Q35: “In simple regression equation, the numbers of variables involved are:”
a. 0
b. 1
c. 2
d. 3

Q36: Test of hypothesis Ho: µ = 50 against H1: µ > 50 leads to:
a. Left-tailed test
b. Right-tailed test
c. Two-tailed test
d. Difficult to tell

Q37: A hypothesis may be classified as:
a. Simple
b. Composite
c. Null
d. All of the above

Q38: Karl pearson’s coefficient is defined from
a. Ungrouped data
b. Grouped data
c. Both
d. None

Q39: “If byx = -2 and rxy= -1, then bxy is equal to:”
a. 1
b. -2
c. 0.5
d. -0.5

Q40: The range of test statistic-t is:
a. 0 to ?
b. 0 to 1
c. ‘-? to +?
d. -1 to +1

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