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If you were to conduct an appropriate hypothesis test, the alternate hypothesis would be:

  • H a : p A = p B
  • H a : p A > p B
  • H o : p A = p B
  • H a : p A p B

D: H a : p A p B

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The Type I error is to:

  • conclude that the pass rate for Math 1A is the same as the pass rate for Math 1B when, in fact, the pass rates are different.
  • conclude that the pass rate for Math 1A is different than the pass rate for Math 1B when, in fact, the pass rates are the same.
  • conclude that the pass rate for Math 1A is greater than the pass rate for Math 1B when, in fact, the pass rate for Math 1A is less than the pass rate for Math 1B.
  • conclude that the pass rate for Math 1A is the same as the pass rate for Math 1B when, in fact, they are the same.

B: conclude that the pass rate for Math 1A is different than the pass rate for Math 1B when, in fact, the pass rates are the same.

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The correct decision is to:

  • reject H o
  • not reject H o
  • There is not enough information given to conduct the hypothesis test

B: not reject H o

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Kia, Alejandra, and Iris are runners on the track teams at three different schools. Their running times, in minutes, and the statistics for the track teams at their respective schools, for a one mile run, are given in the table below:

Running Time School Average Running Time School Standard Deviation
Kia 4.9 5.2 .15
Alejandra 4.2 4.6 .25
Iris 4.5 4.9 .12

Which student is the BEST when compared to the other runners at her school?

  • Kia
  • Alejandra
  • Iris
  • Impossible to determine

C: Iris

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Questions 15 – 16 refer to the following:

The following adult ski sweater prices are from the Gorsuch Ltd. Winter catalog:

{ $212 , $292 , $278 , $199 $280 , $236 }

Assume the underlying sweater price population is approximately normal. The null hypothesis is that the mean price of adult ski sweaters from Gorsuch Ltd. is at least $275.

The correct distribution to use for the hypothesis test is:

  • Normal
  • Binomial
  • Student's-t
  • Exponential

C: Student's-t

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The hypothesis test:

  • is two-tailed
  • is left-tailed
  • is right-tailed
  • has no tails

B: is left-tailed

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Sara, a statistics student, wanted to determine the mean number of books that college professors have in their office. She randomly selected 2 buildings on campus and asked each professor in the selected buildings how many books are in his/her office. Sara surveyed 25 professors. The type of sampling selected is a:

  • simple random sampling
  • systematic sampling
  • cluster sampling
  • stratified sampling

C: cluster sampling

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A clothing store would use which measure of the center of data when placing orders for the typical "middle" customer?

  • Mean
  • Median
  • Mode
  • IQR

B: Median

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In a hypothesis test, the p-value is

  • the probability that an outcome of the data will happen purely by chance when the null hypothesis is true.
  • called the preconceived alpha.
  • compared to beta to decide whether to reject or not reject the null hypothesis.
  • Answer choices A and B are both true.

A: the probability that an outcome of the data will happen purely by chance when the null hypothesis is true.

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Questions 20 - 22 refer to the following:

A community college offers classes 6 days a week: Monday through Saturday. Maria conducted a study of the students in her classes to determine how many days per week the students who are in her classes come to campus for classes. In each of her 5 classes she randomly selected 10 students and asked them how many days they come to campus for classes. Each of her classes are the samesize. The results of her survey are summarized in the table below.

Number of Days on Campus Frequency Relative Frequency Cumulative Relative Frequency
1 2
2 12 .24
3 10 .20
4 .98
5 0
6 1 .02 1.00

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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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