Section 6.1 and 6.2 exercises Name - Kennesaw State University
Section 6.1 and 6.2 exercises Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) A normal population has a mean = 30 and standard deviation = 7. What is the
1)
probability that a randomly chosen value will be greater than 31?
A) 0.7881
B) 0.5557
C) 0.4443
D) 0.7580
2) A fast-food restaurant chain has 623 outlets in the United States. The following table 2) categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 623 to test market a new menu.
Population of city
Under 50,000 50,000 - 500,000
Over 500,000
Region
NE SE SW NW 30 26 27 19 60 48 50 39 72 125 79 48
Given that the outlet is located in a city with a population under 50,000, what is the
probability that it is in the Southwest?
A) 0.255
B) 0.265
C) 0.164
D) 0.043
3) Find the z-scores that bound the middle 74% of the area under the standard normal
3)
curve.
A) -1.07, 1.07
B) -1.13, 1.13
C) -1.24, 1.24
D) -0.99, 0.99
Find the indicated probability.
4) The table below describes the smoking habits of a group of asthma sufferers.
4)
Light Heavy
Nonsmoker smoker smoker Total
Men
395
63
79 537
Women
363
86
67 516
Total
758 149 146 1053
What is the probability that a woman is a nonsmoker?
A) 0.345
B) 0.49
C) 0.720
D) 0.479
E) 0.703
1
5) You are dealt a hand of three cards, one at a time. Find the probability that your cards are all
5)
diamonds.
A) 0.231
B) 0.013
C) 0.750
D) 0.016
E) 0.705
6) The table below describes the smoking habits of a group of asthma sufferers.
6)
Light Heavy
Nonsmoker smoker smoker Total
Men
331
65
61 457
Women
358
65
86 509
Total
689 130 147 966
What is the probability that a light smoker is a woman?
A) 0.135
B) 0.128
C) 0.067
D) 0.5
E) 0.713
7) An IRS auditor randomly selects 3 tax returns from 54 returns of which 10 contain errors. What is 7)
the probability that she selects none of those containing errors?
A) 0.006
B) 0.541
C) 0.534
D) 0.005
E) 0.466
8) A box contains 12 batteries of which 5 are still working. Anne starts picking batteries one at a
8)
time from the box and testing them. Find the probability that she has to pick 5 batteries in order
to find one that works.
A) 6.031
B) 0.013
C) 0.017
D) 0.044
E) 0.001
9) You are dealt a hand of three cards, one at a time. Find the probability that your third card is your 9)
first ace.
A) 0.127
B) 0.00018
C) 0.068
D) 0.077
E) 0.145
10) Find the area under the standard normal curve to the left of z = -0.7.
10)
A) 0.1210
B) 0.2420
C) 0.7580
D) 0.2580
11) Find the area under the standard normal curve to the right of z = 1.6.
11)
A) 0.0548
B) 0.0274
C) 0.9452
D) 0.4452
12) The mean number of pets per household is 3.25 with standard deviation 1.3. A sample 12)
of 59 households is drawn. Find the 74th percentile of the sample mean.
A) 3.36
B) 2.70
C) 3.86
D) 4.11
Solve the problem. Round to the nearest tenth.
13) For a recent English exam, use the Normal model N(73, 9.2) to find the score that represents the
13)
90th percentile.
A) 84.8
B) 63.8
C) 61.2
D) 82.2
E) 81.3
2
14) For a recent English exam, use the Normal model N(73, 9.2) to find the score that represents the
14)
30th percentile.
A) 61.2
B) 63.8
C) 82.2
D) 77.8
E) 68.2
15) Based on the Normal model for car speeds on an old town highway N(77, 9.1), what is the cutoff 15)
value for the highest 15% of the speeds?
A) about 63.1 mph B) about 65.5 mph C) about 11.6 mph D) about 67.5 mph E) about 86.5 mph
16) A fast-food restaurant chain has 617 outlets in the United States. The following table 16) categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu.
Population of city
Under 50,000 50,000 - 500,000
Over 500,000
Region
NE SE SW NW 32 32 26 16 50 41 56 40 76 125 78 45
Given that the outlet is located in the West (either SW or NW), what is the probability th
it
is in a city with population 50,000?500,000?
A) 0.156
B) 0.368
C) 0.268
D) 0.716
Solve the problem.
17) A banks loan officer rates applicants for credit. The ratings can be described by a Normal model 17)
with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, what
percentage can be expected to be between 200 and 275?
A) 43.32%
B) 5.00%
C) 6.68%
D) 93.32%
E) 42.37%
18) For a recent English exam, use the Normal model N(73, 9.2) to find the percent of scores over 85. 18)
Round to the nearest tenth of a percent.
A) 9.7%
B) 11.5%
C) 88.5%
D) 8.1%
E) 90.3%
19) The lengths of human pregnancies can be described by a Normal model with a mean of 268 days 19)
and a standard deviation of 15 days. What percentage can we expect for a pregnancy that will last
at least 300 days?
A) 98.34%
B) 1.79%
C) 1.66%
D) 1.99%
E) 48.34%
3
20) The volumes of soda in quart soda bottles can be described by a Normal model with a mean of
20)
32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a
volume less than 32 oz?
A) 9.87%
B) 40.13%
C) 47.15%
D) 59.87%
E) 38.21%
21) A towns average snowfall is 46 inches per year with a standard deviation of 10 inches. Using a 21)
Normal model, what values should border the middle 68% of the model?
A) 48 inches and 44 inches B) 66 inches and 26 inches C) 46 inches and 42.6 inches D) 56 inches and 36 inches E) 51 inches and 41 inches
22) The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a
22)
mean 8.6 pounds and standard deviation 1.9 pounds. A turkey farmer wants to provide
a money-back guarantee that her 6-week poults will weigh at least a certain amount.
What weight should she guarantee so that she will have to give her customer's money
back only 1% of the time?
A) 4.17 lb
B) 5.00 lb
C) 3.34 lb
D) 4.59 lb
23) A normal population has a mean = 34 and standard deviation = 11. What proportion 23)
of the population is less than 41?
A) 0.2611
B) 1.0000
C) 0.7389
D) 0.8106
24) A normal population has a mean = 27 and standard deviation = 9. What proportion 24)
of the population is between 26 and 31?
A) 0.6700
B) 0.2138
C) 0.4562
D) 0.7862
25) Find the z-score for which the area to the right is 0.07.
A) 1.59
B) 1.48
C) 1.35
25) D) 1.74
26) A bottler of drinking water fills plastic bottles with a mean volume of 994 milliliters 26)
(mL) and standard deviation 5 mL. The fill volumes are normally distributed. What
proportion of bottles have volumes less than 995 mL?
A) 0.5793
B) 0.9974
C) 0.5596
D) 1.0000
27) A normal population has a mean = 10 and standard deviation = 2. What is the 86th 27)
percentile of the population?
A) 13.38
B) 12.16
C) 10.94
D) 9.73
4
28) A sample of size 40 will be drawn from a population with mean 98 and standard
28)
deviation 24. Find the 21st percentile of x.
A) 93.8
B) 90.8
C) 94.9
D) 91.4
29) Find the area under the standard normal curve that lies between z = 1.8 and z = 2.
29)
A) 0.4772
B) 0.0132
C) 0.5228
D) 0.9868
30) The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the 30)
slips are placed into a hat. If the slips are drawn randomly without replacement, what is
the probability that "A" is drawn first and "B" is drawn second?
A) 0.033
B) 0.039
C) 0.024
D) 0.028
31) A sample of size 42 will be drawn from a population with mean 34 and standard
31)
deviation 8. Find the probability that x will be greater than 36.
A) 0.0351
B) 0.0749
C) 0.0526
D) 0.9474
32) A certain car model has a mean gas mileage of 29 miles per gallon (mpg) with a
32)
standard deviation 5 mpg. A pizza delivery company buys 38 of these cars. What is the
probability that the average mileage of the fleet is greater than 27.8 mpg?
A) 0.9535
B) 0.8599
C) 0.0465
D) 0.9306
33) The mean annual income for people in a certain city (in thousands of dollars) is 38,
33)
with a standard deviation of 31. A pollster draws a sample of 43 people to interview.
Find the 68th percentile of the sample mean.
A) 40.2 thousand dollars
B) 37.7 thousand dollars
C) 38.7 thousand dollars
D) 42.3 thousand dollars
5
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- substitutes and complements demand iii stanford university
- bulletin 1411 current transformers rockwell automation
- dmm 608 postal information and resources usps
- hp laserjet enterprise m607 m608 and m609 series firmware
- section 6 1 and 6 2 exercises name kennesaw state university
- tps54429 step down converter evaluation module user s
- personal affairs the army family advocacy program
- series 608 pressure intrinsically safe differential
- solutions to homework 3 math 54 section 001 spring 2012
- ltc6911 1 ltc6911 2 dual matched amplifiers descriptio u
Related searches
- type 1 and type 2 diabetes
- angle 1 and angle 2 are complementary
- compare type 1 and type 2 diabetes
- differentiate type 1 and type 2 diabetes
- kennesaw state university masters program
- article 1 section 6 constitution
- dod 6 1 through 6 7 funding
- ss 8 c 1 6 ss 8 c 2 1
- section 6 3 mendel and heredity answer key
- type 1 and type 2 diabetes difference
- minecraft pe 1 2 6 2 apk
- 6 1 or 2 600 600 1 0 0 0 1