1)Harry had a z-score of -1.54 on a test that had a mean of 72 and a standard deviation of 13. What was Harry’s raw score on the test?
a) 102
b)88
c)78
d)68
e)52
f)None of these
2. In a scientific study there are 10 mice, 5 of which are pregnant. If three mice are selected at random, without replacement, what is the probability that all are pregnant?
a) 1/30
b) 1/21
c) 1/12
d) 4/35
e) 5/42
f) none of these
3. Using the standard normal distribution, what is the p(-8 ˂ z˂ 8)?
a) 0.0054
b)0.0183
c)0.0275
d)0.3632
e)0.6143
f)0.9495
g)None of these
4. If the null hypothesis is not rejected when it is false, then a type II error has been committed.
a) True
b) False
5) Correct to two decimal places, what z-score corresponds to the 98th percentile?
a) -0.92
b) -0.77
c) -0.33
d) 0.33
e) 0.77
f) 0.99
g) 1.34
h) 1.57
i) none of these
6) A recent study showed that the average life expectancy of a male living in new Zealand is 72.4 years with a standard deviation of 7.8 years. If a new zeland male is selected at random, what is the probability that he will live longer than years?
a) 98.7%
b) 94.4%
c) 82.9%
d) 62.1%
e) 36.9%
f) 21.6%
g) none of these
7) A sample of the TBU scores of 50 revealed a mean score of 330 with a standard deviation of 45. What is the 90% confidence interval of the mean, m, of these people? TBU scores distribute normally.
A) 312 ˂ m˂348
b) 314 ˂ m˂346
c) 315˂m˂345
d) 318˂m˂342
e) 320˂m˂340
f) 322˂m˂338
g) none of these
8) If the correlation coefficient between two variables is -0.79, then the slope of the corresponding regression line will be negative.
a) True
b) False
9)The following data show a demand for a product ( in hundreds) and its price ( in dollars) charged in 9 different cities.
price (x) ….|25|15|18|20|19|23|21|17|22|
demand(y)|13|45|37|35|30|20|32|49|22|
a)Y = -3.53 + 101.96 x
b)Y=-3.53-101.96x
c)Y=-3.53x-101.96
d)Y=101.96-3.53x
e)Y=-101.96-3.53x
f)None of these
10) What is the correlation coefficient for the data presented below?
Price (x) ….|30|20|23|25|24|28|26|22|27|
Demand(y)|26|58|50|48|43|33|45|62|35|
a) 0.94
b)0.81
c)-0.68
d)-0.94
e)None of these
11) Given the data:
Price(x)……..|30|20|23|25|24|33|31|27|32|
Demand(y) |23|55|47|45|40|30|42|59|32|
True or false: We would reject the null hypothesis, Ho: p = 0, at the α = 0.02 level of significance.
a)True
b)False
12. A regression line was calculate as y’ = 42.5 + 3.1 x. What is the predicted value of y’ when x = 4.5?
a) 50.25
b)53.35
c)56.45
d)59.55
e)62.65
f)None of these
13) If the correlation coefficient is -0.73, what is the explained variation?
a) 12.3%
b) 37.2%
c) 53.3%
d) 75.7%
e) 88.4%
f) none of these
14) A teacher wanted to see if there was a relationship between the number of absenses (x) a student had in her class and the final grade (y) of the student. The y-intercept for the line of best fit was found to be 96.8 and the slope of the line was found to be -2.67. What would be the predicted final numerical grade ( rounded to the nearest whole number) for a student who missed 6 classes?
a) 65
b)70
c)75
d)81
e)86
f)91
g)None of these
15) A city council wanted to determine whether there was a difference in the number of traffic citations issued each day. The following data were gathered. Check the data for evidence that the number of citations is equally distributed throughout the week. For this data, what is the expected value?
Monday: 115
Tuesday: 125
Wednesday: 125
Thursday: 130
Friday: 175
Saturday: 225
Sunday: 190
a) 155
b)160
c)165
d)175
e)185
f)None of these
16)A city council wanted to determine whether there was a difference in the number of traffic citations issued each day. The following data were gathered. Check the data for evidence that the number of citations is equally distributed throughout the week. For this data, at α = 0.10, what is the critical value?
Monday: 125
Tuesday: 140
Wednesday: 130
Thursday: 125
Friday: 200
Saturday: 225
Sunday: 210
a) 10.645
b)12.592
c)14.449
d)16.812
e)18.548
f)None of these
17) A city council wanted to determine whether there was a difference in the number of traffic citations issued each day. The following data were gathered. Check the data for evidence that the number of citations is equally distributed throughout the week. For this data, what is the test value?
Monday: 135
Tuesday: 140
Wednesday: 150
Thursday: 150
Friday: 190
Saturday: 250
Sunday: 210
a) 63.714
b)63.939
c)68.065
d)72.121
e)76.765
f)None of these
18) A sociologist wanted to determine if there was a difference in the educational level of people living in various locations throughout a major metropolitan area. A sample of 540 people in these locations provides the data below.
Area high school college adv degree
Nw…….40…….75……20
NE……..25…….85……35
SE……..80……..40…..10
SW……45……..70……15
Total…….190……270……80
What is the expected value for a person who has an advantage degree and lives in the NE?
a) 19.26
b)45.74
c)51.01
d)65.00
e)None of these
19) A sociologist wanted to determine if there was a difference in the educational level of people living in various locations throughout a major metropolitan area. A sample of 540 people in these locations provides the data below:
Area high school college adv degree
NW…..40…..75…..20
NE…….25…..85…..35
SE……..80…..40…..10
SW……45…..70……15
Total…..190……270……80
Suppose the null hypothesis, Ho, is the educational level is not dependent on location. True or false: there is evidence to reject Ho at the α = 0.02 level.
A)True
B)False
20) In a chi-square goodness-of-fit test, when there is close agreement between the observed frequency and the expected frequency, the chi-square test value will be large.
a) true
b) false