1. A survey reveals that each customer spends an average of 35 minutes with a
standard deviation of 10 minutes in a department store. Assuming the distribution is
normal, what is the probability a cus
1. Which of the following is correct regarding the probability of an event? (Choose 2)
The word is full of uncertainty
People try to avoid it
People do not care about it
Its value can be less than
1. Construct a 95% confidence interval for a sampling distribution having a mean of
25 and a size of 64. The standard deviation of the population from which the
samples are drawn is 4.
5% to 95%
24.
1. Given the following table, find the probability that a person takes GMAT exam,
given the person is a male. (Choose 2)
Male Female
Total
GRE
80
30
110
GMAT
120
20
140
Total
200
50
250
2/5
40%
3/5
1. Which of the following are correct regarding a histogram? (Choose 2)
It is a graphical form of a frequency distribution
Provides individual data within the experiment
One glance at it can give y
1. How many characteristics of a population does a random variable represent?
(Choose 2)
Two or more
Single one
Less than one
Just one
As many as you wish
2. Which of the following is correct wit
1. Your manager is concerned with the amount of sick leave employees are taking. He
asks you to generate statistics for him for your department. The median is
significantly lower than the mean. One em
1. What size sample should be drawn from a population with standard deviation of 15
to have a sampling distribution standard error of 1.875?
8
28
64
15
2. What is the standard error of a sampling
1. A coin is tossed 400 times. Find the standard deviation of getting heads.
100
10
20
0
2. A certain surgery has a 70% chance of success. The surgery is performed on three
patients. Find the mean
1. What is the confidence level for a critical value of -1.85?
1.85%
95%
0.9357
98.15
2. Construct a 96% confidence interval if a sampling distribution has a mean of 20,
standard deviation of 5, a
1. Given the available steps in calculating the standard deviation of a sample, put them
in correct order from left to right.
Ensure the data are quantitative data
Find the mean of the sample
Squar
1. Match each item with the proper distribution.
Standard normal distribution
o Mean is always zero
Normal distribution
o Standard deviation can be any positive number
2. A survey reveals that Z-sco
1. Match each experiment with the correct type of trial.
Independent trials
o An experiment with tossing a pair of coins
Non-independent trials
o Drawing tow cards from a standard deck without repla
1. For the scores of 90, 85, 100, 50, 45, 70, 60, and 40, what is the first quartile?
50
45
40
47.5
2. If you were told your score was in the first percentile and the median score for the
test was
1. What is the probability of getting a total of 2 in an experiment tossing a pair of dice?
(Choose 2)
1/36
0.0278
36
1/6
2. What is the probability of getting a head or a tail in an experiment
1. Which of the following items are correct with regard to permutation or
combination? (Choose 2)
0rn
0nr
rn0
n 0, r 0
n 0, r 0, r n
2. Which of the following apply when performing combination? (
1. Calculate the margin of error for a sampling distribution having a size of 36 for a
93% confidence level. The population standard is known to be 12.
3.290%
3.920%
453/125%
7%
2. What should a s
1. How many kinds of estimates do we have?
Two
As many as wanted
One
Always three
2. Which of the following is considered to be a finite population?
Species
Human beings
Males and females
Pill
1. Which of the following are not done to dependent variables in a study? (Choose 2)
Controlled
Measured
Affected by the independent
Recorded
Manipulated
2. Match each item with the correct categ
1. Which of the following should a researcher be concerned with?
Neither internal validity nor external validity
Internal validity
External validity but not internal validity
Internal validity but
1. Which of the following use Z-distribution?
Having a sample size of less than 30
Sampling distribution of the mean is normal
Sampling distribution of the mean may be abnormal
Sampling distributi
1. Given a mean of 100, and a standard deviation of 5.3, what is the Z-score of 130?
5.8
5.66
5
6
2. Which of the following data sets could have a range of 15?
30, 12, 15, 11, 8, 10, 7, 14, 16
1
v
(b) Solve the ODE $+ - =[x1 +4]eosli(x1+4)t
K 1+-
(o) A child's toy is to be made from the region contained between the curve
3' =xcosh(x)_ ;r 5 x5 )7 and the x axis, mounted upon a stick so it can
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Sample Math Homework | Sample Assignment l www.expertsmlnd.con1
Question 1
Integrate the following functions, or solve the given ODE.
(a) f(x = coscfw_ln(X)
(b) 5: = 4 (
Sample Math Homework | Sample Assignment | www.expertsmind.com
Solution:
(a) f(x)= Cos (ln(x)
I= Cos(ln(x) dx
Put ln(x) = t
X= et
Differentiating dx = et dt
Then
I=
coste dt
t
Integrating by parts we
8) CREATE A WAVEFORM GRAPHS WITH TWO SINE WAVE AND ADD IT TO GET
MODULATING SIGNAL. ONE SINE WAVE SHOULD BE LOWER FREQUENCY WITH
INFORMATION SIGNAL. ANOTHER SINE WAVE SHOULD BE HIGHER FREQUENCY
AS CAR