Answer :

The upper bound of a 99% confidence interval is found as 57.07.

Explain the term upper confidence bound (UCB)?

  • A confidence boundary which the algorithm sets to each machine on each cycle of exploration is the foundation of the deterministic UCB method for Reinforcement Learning, which focuses on exploring and exploiting.
  • Whenever a machine is often used frequently than other machines, the border shrinks.

For the stated question-

  • sample size n = 18
  • normal population mean x = 36.5
  • variance  s² = 1148; s = 33.88
  • z(α/2) for 99% confidence interval = 2.576

Thus, upper confidence bound (UCB) is estimated as;

UCB = x + z(α/2)×s/√n

UCB = 36.5 + 2.576×33.88/√18

UCB = 36.5 + 20.57

UCB = 57.07

Thus, the upper bound of a 99% confidence interval is found as 57.07.

To know more about the upper confidence bound (UCB), here

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