Statistics  STATISTICAL INFERENCE AND ESTIMATION
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Question 1 of 69
1. Question
A_______ is the specific value of the statistic used to estimate the population parameter.
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Question 2 of 69
2. Question
An estimator Q is an unbiased estimator of the population parameter Q if _________
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Question 3 of 69
3. Question
Since E(X) _______X is said to be unbiased estimator of the population mean.
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Question 4 of 69
4. Question
Sample proportion P is ______ estimator
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Question 5 of 69
5. Question
Sample variance S_{2} is unbiased estimator of population variance ^{2}6 because _______
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Question 6 of 69
6. Question
Sampling Error decrease by ____ the sample size.
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Question 7 of 69
7. Question
x=40 is estimator of ________
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Question 8 of 69
8. Question
________ is a value of sample statistics
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Question 9 of 69
9. Question
_____ is an estimate expressed by a single value.
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Question 10 of 69
10. Question
_______ is the process of using sample information to reach
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Question 11 of 69
11. Question
The Estimation and testing of hypothesis are main branches of _______
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Question 12 of 69
12. Question
The minimum variance unbiased estimator of the population mean is _______
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Question 13 of 69
13. Question
95% confidence limits u are _______
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Question 14 of 69
14. Question
95% confidence limits for P are _______
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Question 15 of 69
15. Question
E(x_{1 }– x_{2})= _________
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Question 16 of 69
16. Question
The hypothesis which is being tested is called ___________
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Question 17 of 69
17. Question
Which of the following is simple hypothesis________
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Question 18 of 69
18. Question
Type II error is committed when the null hypothesis is _________
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Question 19 of 69
19. Question
If n = 400 and P=.69 then 90% C.I for P is _______
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Question 20 of 69
20. Question
Which of the following cannot be H_{o}__________
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Question 21 of 69
21. Question
The level of significance is denoted by _______
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Question 22 of 69
22. Question
If H_{o} is stated as Q = Q_{o}< the alternate hypothesis in general stated______
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Question 23 of 69
23. Question
The values that separate the region of rejection and acceptance region are called ______
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Question 24 of 69
24. Question
The first and starting point in test Hypothesis is ______
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Question 25 of 69
25. Question
Power of test is denoted by ________
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Question 26 of 69
26. Question
Criteria to check a point estimator to be good are
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Question 27 of 69
27. Question
1 – α is the probability of
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Question 28 of 69
28. Question
Parameter is a ______ quantity
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Question 29 of 69
29. Question
Consistency of an estimator can be checked by comparing
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Question 30 of 69
30. Question
If we reject the null hypothesis, we might be making
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Question 31 of 69
31. Question
Herbicide A has been used for years in order to kill a particular type of weed. An experiment is to be conducted in order to see whether a new herbicide, Herbicide B, is more effective than Herbicide A. Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more effective. The alternative hypothesis in this problem is
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Question 32 of 69
32. Question
Analysis of Variance (ANOVA) is a test for equally of
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Question 33 of 69
33. Question
A quantity obtained by applying certain rule or formula is known as __________
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Question 34 of 69
34. Question
Which of the following is an assumption underlying the use of the tdistribution?
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Question 35 of 69
35. Question
For t distribution, increasing the sample size, the affect will be on?
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Question 36 of 69
36. Question
The t distribution are
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Question 37 of 69
37. Question
condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is?
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Question 38 of 69
38. Question
Which of the following is a true statement for comparing the t distribution with standard normal.
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Question 39 of 69
39. Question
what is the probability of a type II error when α=0.05?
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Question 40 of 69
40. Question
The critical value of a test statistic is determined from
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Question 41 of 69
41. Question
The MannWhitney U test is preferred to a ttest when
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Question 42 of 69
42. Question
In testing for the difference between two populations, it is possible to use
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Question 43 of 69
43. Question
The sign test assumes that the
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Question 44 of 69
44. Question
The Runs test results in rejecting the null hypothesis of randomness when
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Question 45 of 69
45. Question
Three brands of coffee are rated for tasted on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations.The appropriate test to tasted equally good is
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Question 46 of 69
46. Question
Comparing the times to failure of radar transponders made by firms A, B, and C based on an airline’s sample experience with the three types of instruments one may use
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Question 47 of 69
47. Question
To perform a Runs test for randomness the data must be
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Question 48 of 69
48. Question
The Wilcoxon, RankSum test used to compares
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Question 49 of 69
49. Question
The Spearman RankCorrelation test requires that the
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Question 50 of 69
50. Question
Which of the following test must be twosided?
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Question 51 of 69
51. Question
In a Wilcoxon RankSum test
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Question 52 of 69
52. Question
Which of the following test is most likely assessing this null hypothesis: H_{o} The number of violations per apartment in the population of all city apartments is binomially distributed with a probability of success in any one trial of P=0.3 dd
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Question 53 of 69
53. Question
When using the sign test, if two scores are tied, then
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Question 54 of 69
54. Question
When testing for randomness, we can use
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Question 55 of 69
55. Question
Wilcoxon RankSum test can be of
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Question 56 of 69
56. Question
The non parametric equivalent of an unpaired samples ttest
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Question 57 of 69
57. Question
Which of the following test use Rank Sums
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Question 58 of 69
58. Question
Let X1,X2,……,Xn be a random sample from a density,,,, _{f(x ι θ) } where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as…………………………..E[∏(θ)ιX1,X2,…..,Xn] is called
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Question 59 of 69
59. Question
if f(x1,x2,…xn;θ)=g(θˆ;θ)h(x1,x2,….,xn), then θˆ is
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Question 60 of 69
60. Question
if Var(T2)
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Question 61 of 69
61. Question
if Var(θˆ)→0 as n → 0, then θˆ is said to be
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Question 62 of 69
62. Question
for two estimators T1=t1(X1,X2,….Xn) and T1=t1(X1,X2,….Xn) then estimators t1 is defined to be Rt1(θ)≤Rt2(θ) for all θ in Θ
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Question 63 of 69
63. Question
Let X1,X2,…Xn be a random sample from the density f(x;(θ), where θ may be vector. If the conditional distribution of X1,X2,…Xn given S=s does not depend on θ for any value of s of S, then statistic is called.
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Question 64 of 69
64. Question
If E(θˆ)=θ, then θˆ is said to be
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Question 65 of 69
65. Question
Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. Let N be an integer valued random variable whose value n depends only on the values of the first n Z¡'s. Suppose E(N)< ∞, then E(Z1,Z2,....Zn)=E(N)E(Z) is called
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Question 66 of 69
66. Question
If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called
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Question 67 of 69
67. Question
For a biased estimator θˆ of θ, which one is corect
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Question 68 of 69
68. Question
A test is said to be most powerful test of size α, if
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Question 69 of 69
69. Question
A set of jointly sufficient statistic is defined to be minimal sufficient if and only if
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