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Mathematics & Statistics

Inferential Statistics

Interview questions on Inferential Statistics.

9 questions

All subtopicsIntroductionPoint EstimationInterval EstimationHypothesis TestingInference for Relationship

Introduction

Q2. What is point estimation in statistical inference?

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Introduction

Q5. A blurb on a box of brand X light bulbs claimed that the mean lifetime of each lightbulb is 750 hours. A random sample of 36 light bulbs was tested in a laboratory, and it was found that their average lifetime is 745 hours. Which form of statistical inference should you use to evaluate whether the data provide enough evidence against the advertised mean lifetime on the box?

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  • Point Estimation
  • Interval Estimation
  • Hypothesis Testing

Introduction

Q6. A recent poll asked a random sample of 1,100 U.S. adults whether or not they support gay marriage. Based on the results of the poll, the pollsters estimated that the proportion of all U.S. adults who support gay marriage is 0.61. Which form of statistical inference should you use to evaluate this conclusion?

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  • Point Estimation
  • Interval Estimation
  • Hypothesis Testing

Introduction

Q7. Based on data collected from a random sample of 1,200 college freshmen, researchers are 95% confident that the mean number of sleep hours of all college freshmen is between 6 hours and 7.5 hours. Which form of statistical inference should you use to evaluate this conclusion?

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  • Point Estimation
  • Interval Estimation
  • Hypothesis Testing

Introduction

Q8. How does the type of variable of interest(categorical/quantitative) determine the type of population parameter we need to infer?

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Introduction

Q9. Which of the following statements are true in context of sampling mean $\hat{X}$ and population mean $\mu$.

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  • Both X^\hat{X} and μ\mu are random varaibles.
  • Only X^\hat{X} is a random variable.
  • Both are constant values.
  • Only μ\mu is random varaible.