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Practice final exam for use with Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

Questions 1 – 3 refer to the following:

Assume the amount of money seventh–grade students spend on food each day at school is exponentially distributed with an average of $2.50.

Which graph best describes the distribution?

  • A

  • B

  • C

  • D

B

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Find the probability that a randomly selected seventh–grade student spends less than $4 a day on food.

  • A

    0.7981
  • B

    0.2019
  • C

    0.9999
  • D

    0.0001

A

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85% of the seventh–grade students spend more than what amount per day?

  • A

    $2.12
  • B

    $0.75
  • C

    $4.74
  • D

    $0.41

D

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Questions 4 – 5 refer to the following:

The amount of time that intermediate algebra students at Leland High School spend doing their homework per day is normally distributed with a mean 1.5 hours and standard deviation 0.75 hours.

If one student is randomly chosen, what is the probability that the student does intermediate algebra homework at least 2 hours per day?

  • A

    0.7475
  • B

    0.4259
  • C

    0.2525
  • D

    0.6784

C

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60% of these students spend at most how many hours doing their homework?

  • A

    1.69 hours
  • B

    1.31 hours
  • C

    1.5 hours
  • D

    0.2533 hours

A

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Questions 6 – 7 refer to the following:

Llamas are excellent pack animals. It is known that the weight of supplies carried by llamas follows a normal distribution with a mean of 62.5 pounds and a standard deviation of 6 pounds.

Find the probability that the weight of supplies carried by one randomly chosen llama is between 60 and 70 pounds.

  • A

    0.4441
  • B

    0.5559
  • C

    0.8944
  • D

    1

B

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The middle 50% of weights of supplies carried by a randomly chosen llama is between _____ and _____.

  • A

    0 and 62.5 pounds
  • B

    58.45 and 66.55 pounds
  • C

    56.5 and 68.5 pounds
  • D

    There is not enough information given.

B

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Which of the following are true for the normal distribution?

  • I

    More values fall close to the mean than fall far away from the mean.
  • Ii

    The mean and standard deviation cannot be the same.
  • Iii

    A change in µ causes the graph to shift to the left or right and changes the shape of the graph.
  • Iv

    A change in s causes a change in the shape of the normal curve.
  • A

    I, IV
  • B

    I, II, III, IV
  • C

    I, II, III
  • D

    III, IV

A

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Questions 9 – 13 refer to the following:

The length of time junior high school students sleep per night follows an approximate uniform distribution from seven to eleven hours. Suppose we randomly select a junior high student.

Find the probability that the randomly selected student sleeps less than 8 1/2 hours per night.

  • A

    .2143
  • B

    0.7727
  • C

    0.4705
  • D

    0.375

D

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Find the probability that the randomly selected student sleeps eight to twelve hours per night.

  • A

    0
  • B

    1
  • C

    0.75
  • D

    0.25

C

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On average, how long does a junior high school student sleep per night?

  • A

    .2143
  • B

    0.7727
  • C

    0.4705
  • D

    0.375

B

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On average, how long does a junior high school student sleep per night?

  • A

    9.6 hours
  • B

    6.5 hours
  • C

    7.8 hours
  • D

    8.4 hours

D

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We are interested in the probability that a randomly selected student sleeps less than eight hours, knowing that he/she sleeps less than ten. Which graph best depicts this situation?

  • A

  • B

  • C

  • D

C

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Source:  OpenStax, Collaborative statistics: supplemental course materials. OpenStax CNX. Oct 01, 2008 Download for free at http://legacy.cnx.org/content/col10586/1.2
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