Download Practice Final Exam Spring B 2013 MAT-154-DA

Practice Final Exam Spring B 2013 MAT-154-DA
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem. Round results to the nearest hundredth.
1) The mean of a set of data is 3.53 and its standard deviation is 4.87. Find the z score for a value of
10.00.
A) 1.46
B) 1.33
C) 1.63
D) 1.20
Determine which score corresponds to the higher relative position.
2) Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of
82 on a test with a mean of 75 and a standard deviation of 4?
A) Both scores have the same relative position.
B) The second 82
C) The first 82
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
3) The test scores of 32 students are listed below. Construct a boxplot for the data set.
32 37 41 44 46 48 53 55
57 57 59 63 65 66 68 69
70 71 74 74 75 77 78 79
81 82 83 86 89 92 95 99
A)
B)
C)
D)
1
1)
2)
3)
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard
deviation 1.
4)
4)
A) 0.8907
B) 0.1292
C) 0.8485
D) 0.8708
5)
5)
A) 0.8599
B) 0.1401
C) 0.7198
D) 0.2802
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
6) Shaded area is 0.9599.
6)
A) 1.03
B) 1.75
C) -1.38
If z is a standard normal variable, find the probability.
7) The probability that z is greater than -1.82
A) 0.4656
B) -0.0344
8) The probability that z lies between 0.7 and 1.98
A) 1.7341
B) -0.2181
D) 1.82
C) 0.0344
D) 0.9656
C) 0.2181
D) 0.2175
Provide an appropriate response.
9) Which of the following is true about the distribution of IQ scores?
A) The mode is 100.
B) The mean is 1.
C) The median is 10.
D) The mode is 80.
10) Which of the following is true about the distribution of IQ scores?
A) It is a standard normal distribution.
B) The area under its bell-shaped curve is 1.
C) The area under its bell-shaped curve is 2.
D) Its distribution is skewed to the right.
2
7)
8)
9)
10)
11) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are
normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).
A) 0.7619
B) 0.7938
C) 0.7745
D) 0.7303
12) Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally
distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).
The shaded area under the curve is 0.5675.
A) 129.6
B) 97.5
C) 110.7
Assume that X has a normal distribution, and find the indicated probability.
13) The mean is µ = 15.2 and the standard deviation is = 0.9.
Find the probability that X is greater than 17.
A) 0.0228
B) 0.9772
C) 0.9821
14) The mean is µ = 15.2 and the standard deviation is
Find the probability that X is greater than 15.2.
A) 1.0000
B) 0.9998
13)
D) 0.9713
14)
D) 0.5000
Find the indicated probability.
15) The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30
inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter
greater than 0.32 inches?
A) 37.45%
B) 97.72%
C) 2.28%
D) 47.72%
Solve the problem.
16) The annual precipitation amounts in a certain mountain range are normally distributed with a
mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean
annual precipitation during 36 randomly picked years will be less than 109.8 inches?
A) 0.5808
B) 0.9192
C) 0.4192
D) 0.0808
17) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of
200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the
probability that their mean is above 215.
A) 0.3821
B) 0.0287
C) 0.4713
D) 0.1179
3
12)
D) 102.6
= 0.9.
C) 0.0003
11)
15)
16)
17)
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the
given statistics and confidence level. Round the margin of error to four decimal places.
18) 90% confidence; n = 430, x = 50
18)
A) 0.0254
B) 0.0318
C) 0.0273
D) 0.0303
19) 99% confidence; the sample size is 1150, of which 30% are successes
A) 0.0265
B) 0.0315
C) 0.0277
D) 0.0348
19)
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
20) n = 53, x = 19; 95% confidence
20)
A) 0.229 < p < 0.487
B) 0.249 < p < 0.467
C) 0.250 < p < 0.466
D) 0.228 < p < 0.488
21) n = 140, x = 68; 90% confidence
A) 0.417 < p < 0.555
C) 0.415 < p < 0.557
21)
B) 0.419 < p < 0.553
D) 0.420 < p < 0.552
22) n = 68, x = 28; 95% confidence
A) 0.295 < p < 0.529
C) 0.294 < p < 0.530
22)
B) 0.314 < p < 0.510
D) 0.313 < p < 0.511
Use the given data to find the minimum sample size required to estimate the population proportion.
^
^
23) Margin of error: 0.005; confidence level: 96%; p and q unknown
A) 32,024
B) 42,148
C) 42,025
D) 42,018
^
24) Margin of error: 0.03; confidence level: 99%; from a prior study, p is estimated by 0.11.
A) 866
B) 722
C) 418
D) 22
23)
24)
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
25) A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. 25)
Construct the 95% confidence interval for the true proportion of all voters in the state who favor
approval.
A) 0.444 < p < 0.500
B) 0.435 < p < 0.508
C) 0.471 < p < 0.472
D) 0.438 < p < 0.505
Use the confidence level and sample data to find a confidence interval for estimating the population µ. Round your
answer to the same number of decimal places as the sample mean.
26) Test scores: n = 77, x = 66.7, = 6.3; 98% confidence
A) 65.5 < µ < 67.9
B) 65.3 < µ < 68.1
C) 64.8 < µ < 68.6
D) 65.0 < µ < 68.4
26)
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to
state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
27) r = -0.754, n = 25
27)
A) Critical values: r = ±0.396, significant linear correlation
B) Critical values: r = ±0.396, no significant linear correlation
C) Critical values: r = ±0.487, no significant linear correlation
D) Critical values: r = ±0.487, significant linear correlation
Construct a scatterplot for the given data.
4
1 -17
2
28) x 10 -8 -20
y -76 -33 78 -65 64 -11
28)
A)
B)
C)
D)
Determine which scatterplot shows the strongest linear correlation.
5
29) Which shows the strongest linear correlation?
A)
29)
B)
C)
Find the value of the linear correlation coefficient r.
30) x 57 53 59 61 53 56 60
y 156 164 163 177 159 175 151
A) -0.078
B) -0.054
30)
C) 0.214
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D) 0.109