ES-4 INDUSTRIAL STATISTICS


1. OC Curve reveals the ability of the sampling plan to distinguish between





2. The maximum limit of percentage defectives in a finally accepted product is





3. The expected sample size required to arrive at a decision about the lot is called





4. A curve showing the probability of accepting a lot of quality p is known as





5. The lowest ASN Curve of a sampling plan as compared to any other sampling plan under similar conditions is considered





6. Acceptance Sampling Plans are preferable due to





7. Cent-percent inspection is preferable when





8.

1. The probability of rejecting a lot having p as the process average defective is known as







9. If the percentage defective Pt or more in a lot is not acceptable to the consumer then it is known as





10. The decision about the acceptance or rejection of a lot reached in a single sampling plan is reached by considering





11. The number of defectives different subgroups are expected to follow





12. The number of defects across different subgroups are expected to follow





13. If LCL in case of control chart for number of defects comes out to be negative then it should be taken as





14. A defect in an item is classified as minor if





15. In a control chart the upper control limit can be





16. The Shewhart control charts are used





17. If µ and ? are the process mean and S.D. then the control limits µ ± 3? are known as





18. Range-charts are preferable over S.D. charts because





19. Control charts consists of





20. A control based on known parameters values is





21. Variation in the dairy products produced in a dairy plant may be due to





22. Variation due to assignable causes in the product occur due to





23. Chance causes of variation in the manufactured product is





24. The faults due to assignable cause





25. Quality Control depends on





26. While drawing a scatter diagram if all points appear to form a straight line going downward from left to right, then it is inferred that there is  





27. A mathematical method for measuring the intensity or the magnitude of linear relationship between two variable series was suggested by





28. Correlation coefficient is independent of change of





29. Correlation coefficient ranges between





30. If sum of the product of deviations of X and Y series from their means is zero, the coefficient of correlation shall be





31. Errors in a Statistical model for analysis of variance are always taken to be





32. Experimental error in two way Analysis of Variance





33. Analysis of experimental data means





34. A statistical model is a mathematical relationship between the





35. Error sum of Squares in two factor ANOVA as compared to one way ANOVA using the same experimental material is





36. Equality of several population means can be tested by





37. The Analysis of Variance technique was developed by





38. The assumptions in the Analysis of Variance which should be fulfilled are





39. The F ratio contains





40. Mean Sum of Squares is the ratio of





41. Equality of two population variances can be tested by





42. Range of the variance ratio F is





43. Ratio of two chi-square variates divided by their respective degrees of freedom is defined as





44. In the F ratio, the estimate of population variance given in the numerator is always





45. F-distribution was discovered by





46. The Chi-square test of goodness of fit was devised by





47. The hypothesis that the population variance has a specified value can be tested by





48. The degrees of freedom for a r x s contingency table is equal to 





49. In a Chi-square contingency table, the expected frequency for any of the cell frequencies can be calculated by





50. Chi-square test is used on





51. The Student’s t test was discovered by





52. The important assumption regarding distribution of parent population in t-test is that it should follow





53. The degrees of freedom for t-test of difference between two independent samples of sizes 15 and 12 are





54. Paired t-test is applicable when the observations in two samples





55. The mean difference between 9 paired observations is 15.0 and the standard deviation of differences is 5.0, the value of statistic t is





56. It is claimed that the average milk yield of Karan Fries cows is 3000 litres. A large sample of 100 Karan Fries cows gave the average milk yield as 3050 litres with a variance of 64 litres. Do the data ascertain the claim:





57. To test H0 : µ = µ0 against H1 : µ > µ0 when the population SD is known, the appropriate test is





58. Testing H0 : µ = 1500 against H0 : µ < 1500 leads to





59. To test a hypothesis about proportion of items in a class, the usual test is





60. Z test is applicable in case





61. Whether a test is one-sided or two sided depends on





62. Level of significance is the probability of





63. Power of a test depends upon





64. Area of critical region depends upon





65. Degrees of freedom is related to





66.





67. Statistical data are collected for





68. The word ‘Statistics’ is used as 





69. The abbreviation NSSO stands for





70. Statistics can





71. A series showing the sets of all distinct values individually with their frequencies is known as





72. A series showing the sets of all values in classes with their corresponding frequencies is known as





73.  If the number of students in a school is 200 and maximum and minimum marks scored are 90 and 10 respectively, for the distribution of marks, the class interval is [Given   ]





74. The first step in the construction of a frequency table is





75. Which of the following is primary data?





76. The sum of deviations taken from arithmetic mean is





77. If the grouped data has open end classes, one cannot calculate





78. The A.M. of two numbers is 6.5 and their G.M. is 6. The two numbers are:





79. What percentage of values is greater than 3rd quartile





80.  The value of the variable corresponding to the highest point of a frequency distribution represents





81. Which measure of dispersion can be calculated in case of open end intervals?





82.  If each observation of set is divided by 10 , the S.D. of new observations is





83. Which of the following is a relative measure of dispersion?





84. A series has its mean as 15 and its coefficient of variation as 20, its standard deviation is





85. If the means of series A and B are 15.0 and 20.0 respectively and their corresponding variances are 25 and 16, which of the two series is more consistent





86. Which of the following relationship is valid in a symmetrical distribution?





87. Which of the following is a measure of skewness?





88. Which one of the curve is more peaked than the normal curve?





89. A curve which is elongated to the right, shows that it is





90.  If the mean, standard deviation and coefficient of skewness of a frequency distribution are 60, 45 and -0.4 respectively , the mode of the frequency distribution is





91. The definition of statistical probability was originally given by





92.  Classical probability is measured in terms of





93. Two events are said to be independent if





94.  If A and B are two events which have no point in common, the events A and B are said to be





95. On the assumption that the two events A and B are mutually exclusive, P (A or B) = P (A) + P (B). How does P (A or B) change if the two events are not mutually exclusive?





96. From a pack of 52 cards, one card is drawn at random. The probability that it is either a diamond or a king is





97. If A, B and C are three mutually exclusive and exhaustive events of an experiment such that 3P (A) =2 P (B) =P(C) then P(A) is equal to





98. If an event B has occurred and it is known that P (B) = 1, the conditional probability P(A|B) is equal to:





99. If A and B are two independent events, then which of the following is not true





100. A problem in statistics is given to three students A, B and C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is equal to





101. A characteristic of probability distribution for any random variable is





102. The outcomes of tossing a coin three times are a variable of the type





103. The body weight of cows in a herd is a random variable of the type





104. If X and Y are random variables, E(X) =5 and E(Y)=8 then the value of E(X+Y)





105. A family of parametric distribution in which mean is equal to variance is





106. Which of the following property is not applicable for Poisson distribution





107. Which of the following conditions is not necessary for a distribution to be a binomial distribution?





108. Poisson distribution tends to be symmetrical curve for





109. If the value of parameter (m ) is an integer then Poisson distribution is





110. The relation between mean and variance for binomial distribution with probability of success being and probability of failure being q is





111. If for a binomial distribution, b(n, p); n = 4 and also P (X = 2) = 3P (X = 3), then value of p is





112. The standard deviation of a binomial distribution depends on





113. Which of the following conditions is not necessary for a distribution to be a binomial distribution?





114.  For a normal curve, the Q.D., M.D. and S.D. are in the ratio





115. If X is a normal variate representing the income in Rs. Per day with mean = 50 and S.D. = 10. The number of workers having income more than Rs. 62.00 per day in a factory having 1000 workers is (given ? z = 1.2, (z) = 0.3849)





116. A normal distribution curve





117. The area covered by the normal curve within 3 sigma limits is





118. In case of normal distribution, Pearson’s beta 2 coefficient is





119. Which of the following statement is true





120. A sampling distribution is the distribution of 





121. The measure of reliability or precision of the sample depends on





122. Why is a census method not popular? 





123. A sample consists of





124. A selection procedure of sample in which probability is not used is





125. In simple random sampling with replacement , the same sampling unit may be included in the sample





126. A scientific technique of drawing samples from the population according to some laws of chance is  





127. In simple random sampling, the variance of the sample mean is less in





128. A selection procedure of a sample having no involvement of probability is known as





129. A sampling plan which will effectively reduce the variability in the population is called





130. Sampling technique in which the first sample unit is selected at random and the remaining units are automatically selected in a definite sequence at equal spacing from one another is called





131. Stratified sampling comes under category of  





132. Which sampling technique is used when the sampling frame is not available and its preparation is very expensive?





133. Which of the following basis distinguishes cluster sampling from stratified sampling?





134. Regression equation of Y on X is obtained on minimizing the sum of squares due to error. 





135. The term regression was introduced by





136. Regression coefficients are independent of change of





137. When the regression equation of Y on X and regression equation X on Y are perpendicular to each other then correlation coefficient is equal to





138. If each value of X is multiplied by 10 and that of Y by 20, the regression coefficient of Y on X obtained by transformed values is





139. Rank correlation was given by





140. The range of rank correlation is





141. The significance of rank correlation coefficient is tested by





142. The rank correlation between the ranks of two attributes in a sample given below is

R1:

1

2

3

4

5

R2:

5

4

3

2

1






143. The rank correlation coefficient between total solids and fat contents of different milk samples is found to be 0.8. If the sum of squares of rank difference is 33.Then number of milk samples is equal to