MATHEMATICS

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Solve the problem.

1)  A random sample of  700 high school seniors is given the SAT-V test. The mean score for this sample is  overbar(x) = 487. What can you say about the mean score m of all high school seniors? 1)  ______________

 

2)  The grade point averages for 10 randomly selected students in a statistics class with 125 students are listed below. What can you say about the mean score m of all 125 students?

 

3.7     2.5     2.3     2.0     2.6     3.5     2.1     2.8     2.4     3.6 2)  ______________

 

3)  A certain confidence in interval is  8.35 < m <  9.85. Find the sample mean  overbar(x) and the error of estimate E. 3)  ______________

 

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.

4)  Given the same sample statistics, which level of confidence will produce the narrowest confidence interval? 4)  ________

A) 75% B)  85% C)  90% D)  95%

 

5)  The grade point averages for 10 randomly selected students in a statistics class with 125 students are listed below.

 

2.0    3.2    1.8    2.9    0.9    4.0    3.3    2.9    3.6    0.8

 

What is the effect on the width of the confidence interval if the sample size is increased to 20? 5)  ________

A) The width decreases.

B) The width increases.

C) The width remains the same.

D) It is impossible to tell without more information.

 

6)  Find the critical value  _elementsubscript_element that corresponds to a  94% confidence level. 6)  ________

A)  plusminus1.88 B)   plusminus1.645 C)   plusminus1.96 D)   plusminus2.33

 

7)  Determine the error of estimate if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of  overbar(x) =  2.0. Assume the grade point average of the 125 students has a mean of m =  2.5. 7)  ________

A)  0.5 B)   2.25 C)  – 0.5 D)   1.75

 

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