Quiz Space

Statistics for Data Science II · Quiz 2 · 4 Aug 2024 · May 2024 term

Question 10: Using Chebyshev’s inequality, find the least upper bound…

Question 10

+3 marksOne correct option

A survey reports that the average time spent on social media per day by teenagers is 3 hours, with a standard deviation of 1 hour. A researcher selects a random sample of 64 teenagers. Based on the above data answer the given subquestions.

Using Chebyshev’s inequality, find the least upper bound on the probability that the sample mean time deviates from the population mean time by more than 0.5 hours.

  1. A

    0.0625

  2. B

    0.9375

  3. C

    0.031

  4. D

    0.015

Show answer

Correct answer

  • A

    0.0625

See the whole paperTake it as a mock test

Question 10 of 16 in the IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 2 paper sat on 4 Aug 2024, in the May 2024 term (IIT M DIPLOMA AN EXAM QDD2 4 Aug 2024). It carries 3 marks.

More questions from this paper

  1. Q1Figure question
  2. Q2Figure question
  3. Q3A political survey is conducted to estimate the proportion of voters in a city who support a particular candidate. The …
  4. Q4Figure question
  5. Q5Based on the above data answer the given subquestions.
  6. Q6Which among the following options are true?
  7. Q7Based on the above data answer the given subquestions.
  8. Q8Based on the above data answer the given subquestions.
  9. Q9What is the expected value of the sample mean time spent on social media?
  10. Q11Using CLT, what will be the approximate distribution of the sample mean recovery time?
  11. Q12Using CLT, what is the approximate probability that the sample mean recovery time is between 4 and 6 days? Enter the an…
  12. Q13What is the distribution of X?
  13. Q14Find the conditional probability P(W = 1 | X = −1). Enter the answer correct to two decimal places.
  14. Q15Find E[Y ]. Enter the answer correct to two decimal places.
  15. Q16Find the probability density function of Y .