Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 121 - 123 of 222

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Question number: 121

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The Government conducts national survey to study about the home gardening.

A random sample of 250 households is taken which have vegetable gardens. The average size of their gardens is 643 square feet. The calculated standard deviation is σ = 247 square feet. How can you interpret the result at 90 % for confidence interval?

Choices

Choice (4) Response
a.

Probability that mean size of household vegetable gardens lies in the interval 617.31 and 668.69 is 0.90

b.

617.31 and 668.69 are 90 percent confidence limits

c.

The length of the confidence interval is 51.38

d. All a. , b. and c. are correct

Question number: 122

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

For a normal population N(μ,σ2) , both sample mean and sample median are unbiased and consistent estimators of μ . In this case, which one will be the efficient estimator?

Choices

Choice (4) Response
a.

Sample mean is more efficient estimator of μ than the sample median.

b.

Sample median is more efficient estimator of μ than the sample mean

c.

Sample mean and Sample median are equally efficient

d. All of the above

Question number: 123

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A car manufacturing company wants to estimate the mean amount of time a worker takes to assemble the tyres. He considers a sample of 120 workers and calculated mean is 16.2 minutes. Suppose the population standard deviation is 3.6 minutes then 92 % confidence interval is given by:

Choices

Choice (4) Response
a.

[3.6, 16.2]

b.

16.2±(1.75*0.328)

c. Question does not provide sufficient data or is vague
d. None of the above

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