4.81 Testing a psychic's ESP. Refer to Exercise 3.101 (p. 158) and the experiment conducted by the Tampa Bay Skeptics to see whether an acclaimed psychic has extrasensory per- ception (ESP). Recall that a crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the num- ber of correct decisions, was recorded. (Assume that the seven trials are independent.) a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial? b. If the psychic is guessing, what is the expected number of correct decisions in seven trials? c. If the psychic is guessing, what is the probability of no correct decisions in seven trials? d. Now suppose the psychic has ESP and p = .5. What is the probability that the psychic guesses incorrectly in all seven trials? e. Refer to part d. Recall that the psychic failed to select the box with the crystal on all seven trials. Is this ev- idence against the psychic having ESP? Explain.
4.81 Testing a psychic's ESP. Refer to Exercise 3.101 (p. 158) and the experiment conducted by the Tampa Bay Skeptics to see whether an acclaimed psychic has extrasensory per- ception (ESP). Recall that a crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the num- ber of correct decisions, was recorded. (Assume that the seven trials are independent.) a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial? b. If the psychic is guessing, what is the expected number of correct decisions in seven trials? c. If the psychic is guessing, what is the probability of no correct decisions in seven trials? d. Now suppose the psychic has ESP and p = .5. What is the probability that the psychic guesses incorrectly in all seven trials? e. Refer to part d. Recall that the psychic failed to select the box with the crystal on all seven trials. Is this ev- idence against the psychic having ESP? Explain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:4.81 Testing a psychic's ESP. Refer to Exercise 3.101 (p. 158)
and the experiment conducted by the Tampa Bay Skeptics
to see whether an acclaimed psychic has extrasensory per-
ception (ESP). Recall that a crystal was placed, at random,
inside 1 of 10 identical boxes lying side by side on a table.
The experiment was repeated seven times, and x, the num-
ber of correct decisions, was recorded. (Assume that the
seven trials are independent.)
a. If the psychic is guessing (i.e., if the psychic does not
possess ESP), what is the value of p, the probability of a
correct decision on each trial?
b. If the psychic is guessing, what is the expected number
of correct decisions in seven trials?
c. If the psychic is guessing, what is the probability of no
correct decisions in seven trials?
d. Now suppose the psychic has ESP and p = .5. What is
the probability that the psychic guesses incorrectly in all
seven trials?
e. Refer to part d. Recall that the psychic failed to select
the box with the crystal on all seven trials. Is this ev-
idence against the psychic having ESP? Explain.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman