Mind On Statistics - Chapter 13 Worksheets With Answers Page 4
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32Chapter 13
18. A random sample of 25 third graders scored an average of 3.2 on a standardized reading test. The standard
deviation was 0.95. What is the value of the t-test statistic for determining if the mean score is significantly
higher than 3?
A. t = 0.21
B. t = 5.26
C. t = 1.05
D. None of the above
KEY: C
th
19. The WISC scores of a sample of n = 20 5
graders resulted in a mean of 104 with a standard deviation of 9. Is
the mean score significantly higher than 100 when α = 0.05?
A. No, because t = 1.99 which is greater than the critical value t* = 1.73.
B. Yes, because t = 1.99 which is greater than the critical value t* = 1.73.
C. No, because t = 1.99 which is smaller than the critical value t* = 2.09.
D. Yes, because t = 1.99 which is smaller than the critical value t* = 2.09.
KEY: B
20. A random sample of 25 third graders scored an average of 3.3 on a standardized spelling test. The standard
deviation was 1.06. Is the mean score significantly higher than 3?
A. It is both when α = 0.05 and when α = 0.10.
B. It is when α = 0.05 but it is not when α = 0.10.
C. It is not when α = 0.05 but it is when α = 0.10.
D. It is not when α = 0.05 and it is not either when α = 0.10.
KEY: C
21. A random sample of 12 bags of barbecue potato chips is collected and the price of each determined. The mean
was $1.03 with a standard deviation of 7 cent ($0.07). Using α = 0.10, we wish to test H
: μ = $1.00. The result
0
is significant
: μ > $1.00 and for H
: μ ≠ $1.00.
A. for both H
a
a
: μ > $1.00 but not for H
: μ ≠ $1.00.
B. for H
a
a
: μ ≠ $1.00 but not for H
: μ > $1.00.
C. for H
a
a
: μ > $1.00 nor for H
: μ ≠ $1.00.
D. neither for H
a
a
KEY: B
th
22. Spatial perception is measured on a scale from 0 to 10. A group of 9
grade students are tested for spatial
perception. SPSS was used to obtain descriptive statistics of the spatial perception scores in the sample.
Using α = 0.01, is the mean score significantly different from 5?
A. Yes, because t = 2.34 and this is greater than t* = 2.11.
B. No, because t = 2.34 and this is smaller than t* = 3.97.
C. No, because t = 0.55 and this is smaller than t* = 2.11.
D. No, because t = 2.34 and this is smaller than t* = 2.90.
KEY: D
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