Practice Exam Answers

29 verified answers
23

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5 percent Which conclusion is valid based on the results of the test?

A
The teacher does not have enough information to make a conclusion about the average time on the test.
B
Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
C
Her students, on average, do take the 30 minutes as the textbook company stated.
D
The teacher should pick up all unfinished quizzes at 25 minutes because her students are so much faster than average.
25

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
each member of a population is equally likely to be chosen for the survey.
B
the likelihood of a member of the population volunteering to be surveyed is not probable.
C
the results of the survey are not mathematically probable.
D
the results of the survey cannot reliably be extended and generalized.
27

A supervisor finds the mean number of miles that the employees in a department live from work. He finds line segment x is equal to 29 and s is equal to 3 point 6 Which statement must be true?

A
z sub 37 is between 1 and 2 standard deviations of the mean.
B
z sub 37 is between 2 and 3 standard deviations of the mean.
C
z sub 37 is within 1 standard deviation of the mean.
D
z sub 37 is more than 3 standard deviations of the mean.
28

Jerome solved the equation by graphing. the log base 2 of x plus log sub 2 of open paren x minus 2 close paren is equal to 3 Which of the following shows the correct system of equations and solution?

A
y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 33
B
y sub 1 is equal to the fraction with numerator log x and denominator log 2 plus the fraction with numerator the log of open paren x minus 2 close paren and denominator log 2 , y sub 2 is equal to 3 ; x is equal to 3
C
y sub 1 is equal to the fraction with numerator log x and denominator log 2 plus the fraction with numerator the log of open paren x minus 2 close paren and denominator log 2 , y sub 2 is equal to 3 ; x is equal to 4
D
y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 44
29

How might the graph be considered misleading?

A
The y -scale is too large for the data set.
B
The y - interval shows exponential increase rather than linear increase.
C
The x -interval makes the data appear skewed.
D
The x -scale is different from the y -scale.

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