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8.1 Practice final exam 2

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This module is a practice final for an associated elementary statistics textbook, Collaborative Statistics, available for Fall 2008.

A study was done to determine the proportion of teenagers that own a car. The population proportion of teenagers that own a car is the

  • statistic
  • parameter
  • population
  • variable

B: parameter

The next two questions refer to the following data:

value frequency
0 1
1 4
2 7
3 9
6 4

The box plot for the data is:

A

If 6 were added to each value of the data in the table, the 15th percentile of the new list of values is:

  • 6
  • 1
  • 7
  • 8

C: 7

The next two questions refer to the following situation:

Suppose that the probability of a drought in any independent year is 20%. Out of those years in which a drought occurs, the probability of water rationing is 10%. However, in any year, the probability of water rationing is 5%.

What is the probability of both a drought and water rationing occurring?

  • 0.05
  • 0.01
  • 0.02
  • 0.30

C: 0.02

Which of the following is true?

  • drought and water rationing are independent events
  • drought and water rationing are mutually exclusive events
  • none of the above

C: none of the above

The next two questions refer to the following situation:

Suppose that a survey yielded the following data:

Favorite pie type
gender apple pumpkin pecan
female 40 10 30
male 20 30 10

Suppose that one individual is randomly chosen. The probability that the person’s favorite pie is apple or the person is male is:

  • 40 60
  • 60 140
  • 120 140
  • 100 140

D: 100 140

Suppose H o is: Favorite pie type and gender are independent.

The p-value is:

  • ≈ 0
  • 1
  • 0.05
  • cannot be determined

A: ≈ 0

The next two questions refer to the following situation:

Let’s say that the probability that an adult watches the news at least once per week is 0.60. We randomly survey 14 people. Of interest is the number that watch the news at least once per week.

Which of the following statements is FALSE?

  • X ~ B 14 0.60
  • The values for x are: { 1 , 2 , 3 , ... , 14 }
  • μ = 8.4
  • P ( X = 5 ) = 0.0408

B: The values for x are: { 1 , 2 , 3 , ... , 14 }

Find the probability that at least 6 adults watch the news.

  • 6 14
  • 0.8499
  • 0.9417
  • 0.6429

C: 0.9417

The following histogram is most likely to be a result of sampling from which distribution?

  • Chi-Square with df = 6
  • Exponential
  • Uniform
  • Binomial

D: Binomial

The ages of campus day and evening students is known to be normally distributed. A sample of 6 campus day and evening students reported their ages (in years) as: { 18 , 35 , 27 , 45 , 20 , 20 }

What is the error bound for the 90% confidence interval of the true average age?

  • 11.2
  • 22.3
  • 17.5
  • 8.7

D: 8.7

If a normally distributed random variable has µ = 0 and σ = 1 , then 97.5% of the population values lie above:

  • -1.96
  • 1.96
  • 1
  • -1

A: -1.96

The next three questions refer to the following situation:

The amount of money a customer spends in one trip to the supermarket is known to have an exponential distribution. Suppose the average amount of money a customer spends in one trip to the supermarket is $72.

What is the probability that one customer spends less than $72 in one trip to the supermarket?

  • 0.6321
  • 0.5000
  • 0.3714
  • 1

A: 0.6321

How much money altogether would you expect next 5 customers to spend in one trip to the supermarket (in dollars)?

  • 72
  • 72 2 5
  • 5184
  • 360

D: 360

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
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Can you compute that for me. Ty
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what is chemistry
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what is inorganic
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Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
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chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
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Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
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answer
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progressive wave
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Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
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Who can show me the full solution in this problem?
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Source:  OpenStax, Engr 2113 ece math. OpenStax CNX. Aug 27, 2010 Download for free at http://cnx.org/content/col11224/1.1
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