Question
In: Statistics and Probability
. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider...
. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider a group of 15 people, answer the following question: (You cannot use the binomial table for this problem) (a) State the random variable ?. (2 points) (b) Explain why this is a binomial experiment. There should be 4 conditions to check. (State the probability of left-handed people ?, the possible outcomes, and the number of trials ? in the conditions.) (4 points) (c) Find the probability that exactly three people are left-handed. (Round your answer to 4 decimal places) (6 points) (d) Find the probability that at least two people are left-handed. (Round your answer to 4 decimal places) (8 points)
Solutions
orchestra answered 2 years agoRelated Solutions
Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. State the random...
Approximately 10% of all people are left-handed. Consider a
grouping of fifteen people.
State the random variable.
Write the probability distribution.
Draw a histogram.
Describe the shape of the histogram.
Find the mean.
Find the variance.
Find the standard deviation.
Do left-handed people live shorter lives than right-handed people? A study of this question examined a...
Do left-handed people live shorter lives than right-handed
people? A study of this question examined a sample of 949 death
records and contacted next of kin to determine handedness. Note
that there are many possible definitions of "left-handed." The
researchers examined the effects of different definitions on the
results of their analysis and found that their conclusions were not
sensitive to the exact definition used. For the results presented
here, people were defined to be right-handed if they wrote, drew,...
Approximately 13% of the population are left-handed. If three people are randomly selected, what is the...
Approximately 13% of the population are left-handed.
If three people are randomly selected, what is the probability
that all are left- handed? (round to 4
decimal places)
If three people are randomly selected, what is the probability
that at least 1 person is not left handed?
(round to 4 decimal places)
Notice that these two events are complementary (the
probabilities do add up to 1).
It has been claimed that, on average, right-handed people have a left foot that is larger...
It has been claimed that, on average, right-handed
people have a left foot that is larger than the right foot. Here we
test this claim on a sample of 10 right-handed adults. The table
below gives the left and right foot measurements in millimeters
(mm). Test the claim at the 0.05 significance level. You may assume
the sample of differences comes from a normally distributed
population.
Person
Left Foot (x)
Right Foot (y)
1
268
268
2
265
263
3...
It has been claimed that, on average, right-handed people have a left foot that is larger...
It has been claimed that, on average, right-handed
people have a left foot that is larger than the right foot. Here we
test this claim on a sample of 10 right-handed adults. The table
below gives the left and right foot measurements in millimeters
(mm). Test the claim at the 0.05 significance level. You may assume
the sample of differences comes from a normally distributed
population.
Person
Left Foot (x)
Right Foot (y)
1
268
268
2
265
263
3...
Picture Arrangement Scores Left-Handed: 12, 10, 12, 14, 12, 10, 8.13,7 Right-Handed: 8, 10, 10, 12,...
Picture Arrangement Scores
Left-Handed: 12, 10, 12, 14, 12, 10, 8.13,7
Right-Handed: 8, 10, 10, 12, 11, 6, 7,9,11
• Is there a significant difference in
the Picture Arrangement scores between the right- and left-handed
students? Use α = .05 in making your decision. Be sure to state
your hypotheses in symbols and use subscripts to denote each group
e.g., and to represent the true population mean Picture Arrangement
score for right- and left-handed students, respectively. Include
the following...
Approximately 6.85 left-handed people are killed each day by using an object or machinery designed for...
Approximately 6.85 left-handed people are killed each day by
using an object or machinery designed for right-handed people. Let
X be the number of left-handed people killed this way in one
day.
a. What values can X take? Why is this a Poisson situation? What
is the parameter?
b. What is the probability that exactly 7 left-handed people
will be killed using a right-handed object tomorrow?
c. What is the expected number of left-handed people killed
using a right-handed object...
Foot-Length: It has been claimed that, on average, right-handed people have a left foot that is...
Foot-Length: It has been claimed that, on average,
right-handed people have a left foot that is larger than the right
foot. Here we test this claim on a sample of 10 right-handed
adults. The table below gives the left and right foot measurements
in millimeters (mm). Test the claim at the 0.05 significance level.
You may assume the sample of differences comes from a normally
distributed population.
Person
Left Foot (x)
Right Foot (y)
difference (d = x − y) ...
Suppose that researchers study a sample of 50 people and find that 10 are left-handed. (a)...
Suppose that researchers study a sample of 50 people and find
that 10 are left-handed.
(a) Find a 95% confidence interval for the population proportion
that is left-handed.
(b) What would the confidence interval be if the researchers
used the Wilson value ~p instead?
(c) Suppose that an investigator tests the null hypothesis that
the population proportion is 18% against the alternative that it is
less than that. If = 0:05 then nd the critical value ^pc. Using ^p
as...
Suppose that researchers study a sample of 50 people and find that 10 are left-handed. (a)...
Suppose that researchers study a sample of 50 people and
find that 10 are left-handed.
(a) Find a 95% confidence interval for the population
proportion that is left-handed.
(b) What would the confidence interval be if the
researchers used the Wilson value ̃p instead?
(c) Suppose that an investigator tests the null
hypothesis that the population proportion is 18% against the
alternative that it is less than that. If α = 0.05 then find the
critical value ˆpc. Using ˆp...
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