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13.1 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

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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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