Statistics

61. The method of maximum likelihood estimation (MLE) was introduced by:

• A Karl Pearson
• B R.A. Fisher Correct answer
• C Neyman-Pearson
• D W.S. Gosset

62. The standard error of the sample proportion 'p' is estimated by:

• A sqrt(pq / n) Correct answer
• B pq / n
• C sqrt(p / n)
• D p * q

63. A 95% confidence interval for a parameter means that if we repeat the process, the parameter will lie inside the interval with probability:

• A 0.05
• B 0.95 Correct answer
• C 0.99
• D 0.50

64. Which value of z is used for constructing a 99% confidence interval for the population mean (large sample)?

• A 1.96
• B 2.58 Correct answer
• C 1.645
• D 3.00

65. When the population is heterogeneous, which sampling design is most appropriate?

• A Simple Random Sampling
• B Stratified Random Sampling Correct answer
• C Cluster Sampling
• D Quota Sampling

66. Which value of z is used for constructing a 95% confidence interval for the population mean (large sample)?

• A 1.96 Correct answer
• B 2.58
• C 1.645
• D 1.28

67. In cluster sampling, clusters are ideally:

• A Heterogeneous within and homogeneous between Correct answer
• B Homogeneous within and heterogeneous between
• C Small and identical
• D Represented by a single element

68. If the sample size is small (n < 30) and the population standard deviation is unknown, we use which distribution to construct confidence intervals?

• A Z-distribution
• B t-distribution Correct answer
• C Chi-square distribution
• D F-distribution

69. If standard deviation of population is 10 and sample size is 4, what is the standard error of mean?

• A 5.00 Correct answer
• B 10.00
• C 10.00
• D 1.00

70. An estimator that utilizes all the information about the parameter contained in the sample is called a:

• A Sufficient estimator Correct answer
• B Consistent estimator
• C Efficient estimator
• D Unbiased estimator