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4th Quarter Examination: Statistics and Probability

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

It is an original datum that has not been transformed.

a)

Data

b)

Raw score

c)

Data raw

d)

Standard score

2.

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?

a)

4.01%

b)

2.01%

c)

5.01%

d)

3.01%

3.

It is a region under the normal curve. Refer to the values on table of Z-Score.

a)

Area of Normal Curve

b)

Z-Scores

c)

Empirical Rule

d)

Probability of Normal Curve

4.

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.

a)

1.85

b)

1.86

c)

1.87

d)

1.88

5.

Find the area to the left of z = 1.53.

a)

.7039

b)

.3970

c)

.9370

d)

.7093

6.

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.

a)

1.39%

b)

2.28%

c)

1.79%

d)

2.87%

7.

Find the raw score X for given the sample mean x = 135, and sample standard deviation s = 30, and z = -2.

a)

55

b)

65

c)

75

d)

85

8.

Find the area between z-scores of -0.75 and 1.21.

a)

0.6603

b)

0.3606

c)

0.3066

d)

0.6306

9.

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?

a)

63.5

b)

74

c)

70.5

d)

77.5

10.

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?

a)

63

b)

67

c)

70

d)

73

11.

Which of the following statement is best described the notation, X~N( μ, σ)?

a)

The normal distribution with mean and standard deviation

b)

N follows a variable distribution with mean and standard deviation

c)

Random variable X is normally distributed with mean and standard deviation

d)

Mean follows a normal distribution with variance and standard deviation

12.

Which of the following areas is data fall within 2 standard deviation of the mean?

a)

95.44%

b)

68.62%

c)

68.26%

d)

94.44%

13.

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.

a)

y = 0.000195

b)

y = 0.000395

c)

y = 0.000295

d)

y = 0.000495

14.

It has an infinite number of possible values that can be represented by an interval on the number line.

a)

Normal distribution

b)

Normal curve

c)

Standard normal distribution

d)

Normal random variable

15.

 

It is a continuous probability distribution for a normal random variable, x.

a)

Normal distribution

b)

Standard normal distribution

c)

Normal random variable

d)

Normal curve

16.

It is a bell-shaped distribution that has important role in inferential statistics.

a)

Normal distribution

b)

Normal curve

c)

Normal random variable

d)

Standard normal distribution

17.

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?

a)

9.12

b)

9.10

c)

9.11

d)

9.9

18.

It is the width and height of the normal curve distribution.

a)

Variance

b)

Standard deviation

c)

Mean

d)

Random

19.

It is the probability density function.

a)

Normal equation

b)

Mass function

c)

Normal distribution

d)

Normal curve

20.

Which of the following areas is data fall within 1 standard deviation of the mean?

a)

66.26%

b)

67.26%

c)

68.26%

d)

69.26%

21.

It is a histogram with possible values on the x-axis, and probabilities on the y-axis.

a)

Probability distribution

b)

Probability histogram

c)

Probabilities

d)

Possible outcomes

22.

he heights of rectangles are proportional to corresponding __________ of similar classes.

a)

possible outcomes

b)

random variables

c)

discrete

d)

probabilities

23.

It is indicated that the values of random variables tend to be very close to the mean, and to each other.

a)

Large standard deviation

b)

Large variance

c)

Small variance

d)

Small standard deviation

24.

The area of every individual rectangle in probability histogram is determined by the __________________.

a)

Variance

b)

Horizontal axis

c)

Standard deviation

d)

Vertical axis

25.

It is indicated that the values of random variables are far from the mean, and from one another.

a)

Small variance

b)

Large variance

c)

Large standard deviation

d)

small standard deviation

26.

Given the probability histogram. Find the standard deviation.

a)

1

b)

2

c)

3

d)

4

27.

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.

a)

12.6

b)

11.6

c)

10.6

d)

9.6

28.

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.

a)

Probability histogram

b)

Histogram

c)

Probability distribution

d)

Probability

29.

It is the histogram displays the probabilities of the discrete random variables.

a)

Histogram

b)

Probability histogram

c)

Probability

d)

Probability distribution

30.

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.

a)

8.92

b)

7.62

c)

6.92

d)

5.92

31.

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.

a)

67.08%

b)

68.08%

c)

69.08%

d)

70.08%

32.

Given: μ=112grams, σ=9grams, x<100

Find the probability base around the weighs of ice creams.

a)

12.18%

b)

11.18%

c)

10.18%

d)

9.18%

33.

Find the area to the left of z = 1.05.

a)

0.8531

b)

0.1469

c)

0.9332

d)

0.1232

34.

Find the area to the left of z = -0.76. 

a)

0.2263

b)

0.3236

c)

0.2236

d)

0.2336

35.

The area found to the left of z = 1.53 was 0.9370. Find the area to the right of 1.53.

a)

0.0306

b)

0.3006

c)

0.0630

d)

0.6003

36.

Find the area between z-scores of -0.75 and 1.21.

a)

0.3603

b)

0.6303

c)

0.3006

d)

0.6603

37.

Find the z-score in which the area to its left is 0.40.

a)

0.25

b)

0.2

c)

-0.25

d)

-0.2

38.

Find the z-score in which the area to its right is 0.9793

a)

1.94

b)

2.04

c)

-1.94

d)

-2.04

39.

Find the z-score in which the area to its left is 0.0207

a)

-1.04

b)

-2.04

c)

1.04

d)

2.04

40.

Which of these formulas is best described to find the raw score?

a)

x= σ+z(μ)

b)

x= μ/z(σ)

c)

x= μ+z(σ)

d)

x= σ/z(μ)

41.

It is a set contains all members of a specified group.

a)

Sample

b)

Population

c)

Parameter

d)

Statistic

42.

It is a set contains a part, or a subset, of a population.

a)

Statistic

b)

Parameter

c)

Population

d)

Sample

43.

It is a numerical measure that describes the whole population.

a)

Parameter

b)

Population

c)

Statistic

d)

Sample

44.

It is a numerical measure that describes a sample.

a)

Population

b)

Statistic

c)

Parameter

d)

Sample

45.

Identify whether the given statement refer parameter or statistic:

The average annual salary for 35 of a company's 1200 accountants is P268,000.

a)

Parameter

b)

Statistic

46.

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.

a)

Parameter

b)

Statistic

47.

Identify whether the given statement refer parameter or statistic:

Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.

a)

Parameter

b)

Statistic

48.

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.

a)

Parameter

b)

Statistic

49.

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.

a)

Parameter

b)

Statistic

50.

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,

a)

Parameter

b)

Statistic