ECO153 List of eExam Questions in the Bank

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Q1 Since the calculated F is less than F, it is not significant . Hence Ho may be accepted at 5% level of significance or risk level.

Q2 The outcomes of a hypothesis test is the set of all which cause the null hypothesis to be rejected in favour of the hypothesis

Q3 In statistics, a result is interpreted as being statiscally if it has been predicted as unlikely to have occurred by alone, according to a pre-determined threshold probability, the significance level

Q4 The normal curve approaches the horizontal axis asymptotically as we proceed in either away from the __.

Q5 If we toss a fair coin n times (which is fixed and finite) then the of any trial is one of the exclusive events, viz., head (success) and tail (failure)

Q6 In the Binomial distribution, the outcome of the random experiment (trial) results in the classification of

Q7 These sets of finite sequences are referred to as cylinder sets in the product

Q8 The Bernoulli process can be formalized in the language of probability as a sequence of realisations of a random variable that can take values of heads or tails

Q9 For selling an item for N850 a trader made a profit of 15%. His selling to make a profit of 20% should be

Q10 An imaginary is a number that has square root

Q11 Find the sum of eight terms of the GP 2,6,18,

Q12 The second term of a geometric progression is 6 and the fifth term is 162. find the third term _-

Q13 The 3rd and the 6th term of GP are 18 and 486, find the 10th term

Q14 Given that first term of a GP is 900 and the common ratio is 2.07. find the 4th term of the GP

Q15 Given that 5/x²+x-6 = A/x+3 + B/x-2. find A and B

Q16 Divide 2x³+ 4x²-6x+1 by x+3 and find the remainder

Q17 Find the value of x, given that f(x)= 5x³-3x²+x+7,g(x) = 6x²+5x-4 and h(x)= 8x³+5x-2 , where f(x) + 2g(x) -3h(x) at x = 2

Q18 Factor the polynomial a²+bc+ab+ac

Q19 Find the HCF of 144a³b² and 54a²bc²

Q20 Find the LCM of 12ax² , 18b³xy and 24xy³

Q21 Find the present value of N923 receivable in 7 years if the money is worth 15% per year compounded quarterly

Q22 A man deposit 20,000 at 9% per year. Find the compound amount at the end of 12years.

Q23 The first and last term of an AP are 5 and 100 respectively. Find the sum of AP, if the AP has 20 terms.

Q24 The 4th and 7th term of an arithmetic sequence are 6 and 15 respectively. Find the nth term of the sequence

Q25 Tunde save N 40,000 in the first year of a new job. In each subseqent year, he saved 15% more than in the previous year. How much in total has he saved in 5years

Q26 Solve the simultaneous inequalities 6x - 2y ≥ 14 and 14x + 3y≤ 24 and determine the values of x and y.

Q27 The sum of eight times a number and 15 is less than thrice the same number minus 10, find the number.

Q28 Simplify √27 * √50 ∕ √54

Q29 Make x the subject of the formula L= xh∕ a(x+p)

Q30 Simplify without using table log₅12.5 + log₅2

Q31 Simplify and solve for x, given (0.125)x+1 = 1∕64

Q32 Factor the polynomial 4x²+20x+3xy+15y

Q33 The LCM of 14a²b²,7ab and 28ab² is

Q34 It took 7men 35hours to build a house. How much time will it take 12 men working at the same rate to finish the house.

Q35 Find the present value of 10,000 receivable 5 years from now if money is worth 10% per annum.

Q36 The logarithm of a is simply the of the logarithms of the __.

Q37 The condition f(x1, …, xn) = f(|x1|, …, |xn|) ensures that X1, …, Xn are of mean and ; still, they need not be independent, nor even independent.

Q38 An important of a log-concave density is a function inside a given convex body and outside

Q39 The law of large numbers says that the sample of a random sample in probability to the mean μ of the individual random variables, if the exists.

Q40 The convergence to the normal distribution is _, in the sense that the entropy of Zn monotonically to that of the normal _.

Q41 Regression analysis is a mathematical of the average relationship between c or more variables in terms of the original units of the _.

Q42 The correlation only the degree of association between two variables while regression analysis is a statistical process for estimating the among variables.

Q43 A coefficient means that x and y values and decrease in the same

Q44 The H-Test or the Kruskal-Wallis Test is usually based on sample theory that the sampling of H can be closely approximated with a chi-square distribution with degree of freedom

Q45 Non-parametric are widely used for studying that take on a ranked (such as movie reviews receiving one to four stars).

Q46 Under the hypothesis of of attributes the expected outcome for any of the cell frequencies can be obtained by multiplying the row totals and the column totals in which the occurs and dividing the product by the frequency N”.

Q47 ANOVA is very in the multiple comparison of among other important uses in both social and applied __.

Q48 To obtain the variation between _, we compute the sum of the of the deviations of the various sample means from the overall (grand)

Q49 The main objective of the analysis of variance technique is to if there is significant between the class in view of the inherent variability within the separate classes.

Q50 The variation due to assignable causes can be detected and whereas the variation due to chances is beyond the of human and cannot be traced

Q51 On the other hand, if value of χ2 is greater than the value, it is said to be _.

Q52 Since the calculated F is less than F, it is not . Hence Ho may be at 5% level of significance or risk level.

Q53 F-statistic is the ratio of two chi-square variates by their respective of freedom.

Q54 The region of a hypothesis test is the set of all which cause the null hypothesis to be rejected in favour of the hypothesis

Q55 In statistics, a result is interpreted as being significant if it has been predicted as unlikely to have occurred by alone, according to a pre-determined threshold probability, the level

Q56 The normal curve approaches the axis asymptotically as we proceed in either away from the __.

Q57 If we toss a coin n times (which is fixed and finite) then the of any trial is one of the exclusive events, viz., head (success) and tail (failure)

Q58 In the Binomial distribution, the of the random experiment (trial) results in the classification of

Q59 These sets of finite are referred to as sets in the topology

Q60 The Bernoulli process can be formalized in the language of spaces as a random sequence of realisations of a random variable that can take of heads or tails

Q61 Given that first term of a GP is 900 and the common ratio is 2.07. find the 4th term of the GP





Q62 Given that 5/x²+x-6 = A/x+3 + B/x-2. find A and B





Q63 Divide 2x³+ 4x²-6x+1 by x+3 and find the remainder





Q64 Find the value of x, given that f(x)= 5x³-3x²+x+7,g(x) = 6x²+5x-4 and h(x)= 8x³+5x-2 , where f(x) + 2g(x) -3h(x) at x = 2





Q65 Divide x³+ x²-10x+8 ÷ x-4 and find the value of x





Q66 Simplify and solve for x, given (0.125)x+1 = 1∕64





Q67 Simplify without using table log₅12.5 + log₅2





Q68 The LCM of 14a²b²,7ab and 28ab² is





Q69 The ratio by weight (kg) of zinc, tin and copper are 4:3:3, if the work requires 640kg alloy, what is the required kg for zinc





Q70 Which of the these is an imaginary





Q71 Another name for standard error is _______________________





Q72 A particular value of the population, such as the mean income or the level of formal education, is called a________________





Q73 ____________________ is not of the ways to evaluate the reliability of a linear regression model





Q74 The best fit line can be given as __________________





Q75 Typical regression model is specified in form of____________________





Q76 F-statistic is the ratio of _________________ chi-square variates divided by their respective degrees of freedom





Q77 Prices of shares of a company on the different days in a month were found to be: 66, 65, 69,70, 69, 71, 70, 63, 64 and 68. What is the mean price of the price of the shares in the month?





Q78 The assumptions for Student’s test do not include __________________





Q79 If the absolute value of the calculated t is greater than tabulated t, we say it is significant and the null hypothesis is ______________





Q80 Given two variables X and Y: If r = -1, there is a perfect _______________ relationship between Y and X.





Q81 From a class of 12 students , six are to be selected as a member of a committee. In how many ways can this be done.





Q82 How many ways can a committee of two men and three women be selected from groups of eight men and seven women.





Q83 In how many ways can the letter of the word FRACTIONS be written





Q84 In how many ways can the letter OSOGBO be arranged





Q85 In how many ways can the word EXAMINATION be arranged





Q86 Multiply 4ᴉ x 12





Q87 Solve ⁷P₄ − ⁴P₃





Q88 Simplify 10ᴉ /(10 -5)ᴉ





Q89 How many ways can a committee of two men and three women be selected from groups of eight men and seven women.





Q90 A schoolcommttee is to be formed. There are mine girl and six eligible boys. In how many ways can the committee be formed if there are four girls and three boys





Q91 From a class of 12 students , six are to be selected as a member of a committee. In how many ways can this be done.





Q92 Solve ⁷P₄ − ⁴P₃





Q93 A committee has ten members, how many ways can the MD, Chairman, Secertary and ICT manager be selected





Q94 Multiply 4ᴉ x 12





Q95 Five men sit around a circular table, how many ways can this be done.





Q96 In how many ways can the letter OSOGBO be arranged





Q97 Find the value of (1.06)⁷





Q98 In how many ways can the word EXAMINATION be arranged





Q99 In how many ways can the letter of the word FRACTIONS be written





Q100 Simplify 10ᴉ /(10 -5)ᴉ





Q101 (7⅗ of 17∕ 19) ∕ 15∕25





Q102 1 6∕9 of ⅔ - 3⅕ + 2½ ∕ ½





Q103 An imaginary number is a number that has





Q104 An improper fraction is classified as





Q105 convert ratio 4:5 to percentage





Q106 Express 5hrs as a ratio of 1week and 2days





Q107 Express the fraction in the lowest possible equivalent 16x⁵y⁴ * 48xy∕ 32xy* 24x3y2





Q108 Factor the polynomial 4x²+20x+3xy+15y





Q109 For selling an item for N850 a trader made a profit of 15%. What should be selling price be to make a profit of 20%.





Q110 Given that factor over head is ⅖, prime cost is ⅕. Calculate the fraction of the total spent on other items.





Q111 It took 7men 35hours to build a house. How much time will it take 12 men working at the same rate to finish the house.





Q112 Make x the subject of the formula L= xh∕ a(x+p)





Q113 Simplify √27 * √50 ∕ √54





Q114 Simplify 1⅓ + (2∕4 of 12∕ 16) - ⅚





Q115 simplify 3½ - 2 7/12





Q116 Simplify and solve for x, given (0.125)x+1 = 1∕64





Q117 Simplify without using table log₅12.5 + log₅2





Q118 The LCM of 14a²b²,7ab and 28ab² is





Q119 The ratio by weight (kg) of zinc, tin and copper are 4:3:3, if the work requires 640kg alloy, what is the required kg for zinc





Q120 Which of the these is an imaginary