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The next three problems refer to the following situation: Suppose that a sample of 15 randomly chosen people were put on a special weight loss diet. The amount of weight lost, in pounds, follows an unknown distribution with mean equal to 12 pounds and standard deviation equal to 3 pounds. Assume that the distribution for the weight loss is normal.

To find the probability that the mean amount of weight lost by 15 people is no more than 14 pounds, the random variable should be:

  • The number of people who lost weight on the special weight loss diet
  • The number of people who were on the diet
  • The mean amount of weight lost by 15 people on the special weight loss diet
  • The total amount of weight lost by 15 people on the special weight loss diet

C

Find the probability asked for in the previous problem.

0.9951

Find the 90th percentile for the mean amount of weight lost by 15 people.

12.99

The next three questions refer to the following situation: The time of occurrence of the first accident during rush-hour traffic at a major intersection is uniformly distributed between the three hour interval 4 p.m. to 7 p.m. Let X size 12{X} {} = the amount of time (hours) it takes for the first accident to occur.

  • So, if an accident occurs at 4 p.m., the amount of time, in hours, it took for the accident to occur is _______.
  • μ = size 12{μ} {} _______
  • σ 2 = size 12{σ rSup { size 8{2} } } {} _______

What is the probability that the time of occurrence is within the first half-hour or the last hour of the period from 4 to 7 p.m.?

  • Cannot be determined from the information given
  • 1 6 size 12{ { { size 8{1} } over { size 8{6} } } } {}
  • 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}
  • 1 3 size 12{ { { size 8{1} } over { size 8{3} } } } {}

C

The 20th percentile occurs after how many hours?

  • 0.20
  • 0.60
  • 0.50
  • 1

B

Assume Ramon has kept track of the times for the first accidents to occur for 40 different days. Let C size 12{C} {} = the total cumulative time. Then C size 12{C} {} follows which distribution?

  • U ( 0,3 ) size 12{U \( 0,3 \) } {}
  • Exp ( 1 3 ) size 12{ ital "Exp" \( { { size 8{1} } over { size 8{3} } } \) } {}
  • N ( 60 , 5.477 ) size 12{N \( "60","30" \) } {}
  • N ( 1 . 5,0 . 01875 ) size 12{N \( 1 "." 5,0 "." "01875" \) } {}

C

Using the information in question #6, find the probability that the total time for all first accidents to occur is more than 43 hours.

0.9990

The next two questions refer to the following situation: The length of time a parent must wait for his children to clean their rooms is uniformly distributed in the time interval from 1 to 15 days.

How long must a parent expect to wait for his children to clean their rooms?

  • 8 days
  • 3 days
  • 14 days
  • 6 days

A

What is the probability that a parent will wait more than 6 days given that the parent has already waited more than 3 days?

  • 0.5174
  • 0.0174
  • 0.7500
  • 0.2143

C

The next five problems refer to the following study: Twenty percent of the students at a local community college live in within five miles of the campus. Thirty percent of the students at the same community college receive some kind of financial aid. Of those who live within five miles of the campus, 75% receive some kind of financial aid.

Find the probability that a randomly chosen student at the local community college does not live within five miles of the campus.

  • 80%
  • 20%
  • 30%
  • Cannot be determined

A

Find the probability that a randomly chosen student at the local community college lives within five miles of the campus or receives some kind of financial aid.

  • 50%
  • 35%
  • 27.5%
  • 75%

B

Based upon the above information, are living in student housing within five miles of the campus and receiving some kind of financial aid mutually exclusive?

  • Yes
  • No
  • Cannot be determined

B

The interest rate charged on the financial aid is _______ data.

  • quantitative discrete
  • quantitative continuous
  • qualitative discrete
  • qualitative

B

What follows is information about the students who receive financial aid at the local community college.

  • 1st quartile = $250
  • 2nd quartile = $700
  • 3rd quartile = $1200

(These amounts are for the school year.) If a sample of 200 students is taken, how many are expected to receive $250 or more?

  • 50
  • 250
  • 150
  • Cannot be determined

  • 150

The next two problems refer to the following information: P ( A ) = 0 . 2 size 12{P \( A \) =0 "." 2} {} , P ( B ) = 0 . 3 size 12{P \( B \) =0 "." 3} {} , A size 12{A} {} and B size 12{B} {} are independent events.

P ( A AND B ) = size 12{P \( A} {}

  • 0.5
  • 0.6
  • 0
  • 0.06

D

P ( A OR B ) = size 12{P \( A} {}

  • 0.56
  • 0.5
  • 0.44
  • 1

C

If H size 12{H} {} and D size 12{D} {} are mutually exclusive events, {} P ( H ) = 0 . 25 size 12{P \( H \) =0 "." "25"} {} , P ( D ) = 0 . 15 size 12{P \( D \) =0 "." "15"} {} , then P ( H | D ) size 12{P \( H} {}

  • 1
  • 0
  • 0.40
  • 0.0375

B

Questions & Answers

I'm interested in biological psychology and cognitive psychology
Tanya Reply
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physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
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Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
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ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
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Jonathan
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Jonathan
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interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
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Source:  OpenStax, Collaborative statistics (with edits: teegarden). OpenStax CNX. Jul 20, 2009 Download for free at http://legacy.cnx.org/content/col10561/1.3
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