Worksheets4th Quarter Examination: Statistics and Probability
Total questions: 50
Worksheet time: 13hrs 30mins
It is an original datum that has not been transformed.
Data
Raw score
Data raw
Standard score
The normal random variable X = 100 in the given mean µ = 85 and standard deviation σ = 8 of a population in the Statistics test. What is the probability of scores that lies above 100?
4.01%
2.01%
5.01%
3.01%
It is a region under the normal curve. Refer to the values on table of Z-Score.
Area of Normal Curve
Z-Scores
Empirical Rule
Probability of Normal Curve
Find the z-score value that corresponds to a normal random variable X = 100 in the given mean µ = 85 and standard deviation σ = 8 of a population in Statistics test.
1.85
1.86
1.87
1.88
Find the area to the left of z = 1.53.
.7039
.3970
.9370
.7093
A normally distributed population of test scores has a mean of 80 and a standard deviation of 2.5. Find the percentage of scores that lies below 75.
1.39%
2.28%
1.79%
2.87%
Find the raw score X for given the sample mean x = 135, and sample standard deviation s = 30, and z = -2.
55
65
75
85
Find the area between z-scores of -0.75 and 1.21.
0.6603
0.3606
0.3066
0.6306
The average speed of vehicles traveling on a stretch of highway is 67 miles per hour with a standard deviation of 3.5 miles per hour. A vehicle is selected at random. What is the value of the miles per hour associated with a z-score of 3?
63.5
74
70.5
77.5
The speed of vehicles traveling on a stretch of highway is 67 miles per hour with a standard deviation of 3.5 miles per hour. A vehicle is selected at random with a z-score 1.23. What is the mean?
63
67
70
73
Which of the following statement is best described the notation, X~N( μ, σ)?
The normal distribution with mean and standard deviation
N follows a variable distribution with mean and standard deviation
Random variable X is normally distributed with mean and standard deviation
Mean follows a normal distribution with variance and standard deviation
Which of the following areas is data fall within 2 standard deviation of the mean?
95.44%
68.62%
68.26%
94.44%
Using the PROBABILITY DENSITY FUNCTION, where mean is 100 and the standard deviation is 15. Let the continuous random variable is 55. Find the value of y.
Choose the nearest answer.
y = 0.000195
y = 0.000395
y = 0.000295
y = 0.000495
It has an infinite number of possible values that can be represented by an interval on the number line.
Normal distribution
Normal curve
Standard normal distribution
Normal random variable
It is a continuous probability distribution for a normal random variable, x.
Normal distribution
Standard normal distribution
Normal random variable
Normal curve
It is a bell-shaped distribution that has important role in inferential statistics.
Normal distribution
Normal curve
Normal random variable
Standard normal distribution
The data value is 9.8 and the z-score is 2. What is the data value associated with a z-score of 2.1?
9.12
9.10
9.11
9.9
It is the width and height of the normal curve distribution.
Variance
Standard deviation
Mean
Random
It is the probability density function.
Normal equation
Mass function
Normal distribution
Normal curve
Which of the following areas is data fall within 1 standard deviation of the mean?
66.26%
67.26%
68.26%
69.26%
It is a histogram with possible values on the x-axis, and probabilities on the y-axis.
Probability distribution
Probability histogram
Probabilities
Possible outcomes
he heights of rectangles are proportional to corresponding __________ of similar classes.
possible outcomes
random variables
discrete
probabilities
It is indicated that the values of random variables tend to be very close to the mean, and to each other.
Large standard deviation
Large variance
Small variance
Small standard deviation
The area of every individual rectangle in probability histogram is determined by the __________________.
Variance
Horizontal axis
Standard deviation
Vertical axis
It is indicated that the values of random variables are far from the mean, and from one another.
Small variance
Large variance
Large standard deviation
small standard deviation
Given the probability histogram. Find the standard deviation.
1
2
3
4
The data below are the scores of 25 students in a 15-item Statistics quiz.
9, 12, 10, 9, 7, 8, 12, 15, 11, 9, 7, 13, 7,
15, 10, 13, 14, 14, 12, 8, 12, 13, 10, 9, 10.
Find the mean.
12.6
11.6
10.6
9.6
It is an area diagram and can be defined as a set of rectangles with bases along with the intervals between random variables and with areas proportional to probabilities in the corresponding classes.
Probability histogram
Histogram
Probability distribution
Probability
It is the histogram displays the probabilities of the discrete random variables.
Histogram
Probability histogram
Probability
Probability distribution
The data below are the scores of 25 students in a 15-item Statistics quiz.
9, 12, 10, 9, 7, 8, 12, 15, 11, 9, 7, 13, 7,
15, 10, 13, 14, 14, 12, 8, 12, 13, 10, 9, 10.
Find the variance.
8.92
7.62
6.92
5.92
Assume that the women spend on average $146.21/month on beauty
products with a standard deviation of $29.44. Find the percentage
of women who spend less than $160.00.
67.08%
68.08%
69.08%
70.08%
Given: μ=112grams, σ=9grams, x<100
Find the probability base around the weighs of ice creams.
12.18%
11.18%
10.18%
9.18%
Find the area to the left of z = 1.05.
0.8531
0.1469
0.9332
0.1232
Find the area to the left of z = -0.76.
0.2263
0.3236
0.2236
0.2336
The area found to the left of z = 1.53 was 0.9370. Find the area to the right of 1.53.
0.0306
0.3006
0.0630
0.6003
Find the area between z-scores of -0.75 and 1.21.
0.3603
0.6303
0.3006
0.6603
Find the z-score in which the area to its left is 0.40.
0.25
0.2
-0.25
-0.2
Find the z-score in which the area to its right is 0.9793
1.94
2.04
-1.94
-2.04
Find the z-score in which the area to its left is 0.0207
-1.04
-2.04
1.04
2.04
Which of these formulas is best described to find the raw score?
x= σ+z(μ)
x= μ/z(σ)
x= μ+z(σ)
x= σ/z(μ)
It is a set contains all members of a specified group.
Sample
Population
Parameter
Statistic
It is a set contains a part, or a subset, of a population.
Statistic
Parameter
Population
Sample
It is a numerical measure that describes the whole population.
Parameter
Population
Statistic
Sample
It is a numerical measure that describes a sample.
Population
Statistic
Parameter
Sample
Identify whether the given statement refer parameter or statistic:
The average annual salary for 35 of a company's 1200 accountants is P268,000.
Parameter
Statistic
Identify whether the given statement refer parameter or statistic:
In a survey of a sample of high school students, 43% said that their mother has taught them the most about managing money.
Parameter
Statistic
Identify whether the given statement refer parameter or statistic:
Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.
Parameter
Statistic
Identify whether the given statement refer parameter or statistic:
As of January 2007, 44% of the governors of the 50 states in the US are Republicans.
Parameter
Statistic
Identify whether the given statement refer parameter or statistic:
In a survey of a sample of computer users, 8% said their computer had a malfunction that needed to be repaired by a service technician.
Parameter
Statistic
Identify whether the given statement refer parameter or statistic:
In a recent survey of 1503 adults in the United States, 53% said they use both a landline and a cell phone,
Parameter
Statistic
