Quiz about REVIEWER IN STATISTICS AND PROBABILITY

Question 1

Which of the following is a continuous random variable?

Accepted Answer

B. the amount of paint consumed

Answer

A. the number of clothes

Answer

C. the number of subjects per semester

Question 2

If P(X) = $$\frac{x}{4}$$ , what are the possible values of X for it to be a probability distribution?

Accepted Answer

C. 1,2,1

Answer

A. 0,1,2

Answer

B. 1,2,3

Question 3

Which of the following is a probability distribution?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Question 4

Which of the following is NOT a normal random variable?

Accepted Answer

B. grades of students join the remediation class

Answer

A. heights of Grade 7 students

Answer

C. ages of drivers

Question 5

Which of the following statements about normal curve is NOT true?

Accepted Answer

A. It is symmetric at the tails.

Answer

B. The tails of the curve asymptotic to the baseline.

Answer

C. the area under the normal curve is 1.

Question 6

What does the mean of a normal curve represent?

Accepted Answer

B. location of the curve

Answer

A. width of the curve

Answer

C. height of the curve

Question 7

What is the area from the mean to z = 2.32?

Accepted Answer

B. 0.4898

Answer

A. 0.4938

Answer

C. 0.4772

Question 8

The height of Grade 12 students is normally distributed with the mean of 160 cm and the standard deviation is 4. What is the probability that the height is between 156cm and 164cm?

Accepted Answer

A. 68.26%

Answer

B. 34.13%

Answer

C. 95.44%

Question 9

The height of Grade 12 students is normally distributed with the mean of 160 cm and the standard deviation is 4. What is the corresponding height of z = 1.75?

Accepted Answer

A. 167cm

Answer

B. 166 cm

Answer

C. 165cm

Question 10

The height of Grade 12 students is normally distributed with the mean of 160 cm and the standard deviation is 4. What is the corresponding z-score of the height of 168 cm?

Accepted Answer

C. 2.0

Answer

A. -1.0

Answer

B. -2.0

Question 11

The height of Grade 12 students is normally distributed with the mean of 160 cm and the standard deviation is 4. What is the probability that the height of the students is above 168cm?

Accepted Answer

C. 2.28%

Answer

A. 97.72%

Answer

B. 47.72%

Question 12

What is the probability that a z-score will have a value above 1? P(z > 1)

Accepted Answer

B. 0.1587

Answer

A. 0.0228

Answer

B. 0.4772

Question 13

What is the probability that a z-score will have a value below 2? P(z < 2)

Accepted Answer

C. 0.9772

Answer

A. 0.0228

Answer

B. 0.4772

Question 14

The data in PROMIS shows that the average age of the teachers in PHS is 38 years and the standard deviation is 7 years. What is the probability that the age of a teacher is below 50 years?

Accepted Answer

C. 0.9564

Answer

A. 0.4564

Answer

B. 0.0436

Question 15

The data in PROMIS shows that the average age of the teachers in PHS is 38 years and the standard deviation is 7 years. If there are 1,000 teachers in PHS, how many are below 50 years?

Accepted Answer

C. 957

Answer

A. 44

Answer

B. 457

Question 16

The data in PROMIS shows that the average age of the teachers in PHS is 38 years and the standard deviation is 7 years. What is the age (x) such that 40% is above it?

Accepted Answer

B. 39.75

Answer

A. 34.75

Answer

C. 46.96

Question 17

20. It is a number that is used to estimate an unknown parameter.

Accepted Answer

B. Statistic

Answer

A. Parameter

Answer

C. Variance

Question 18

22. The average weight of all students aged 16 to 18-year-old is 62 kgs. Two hundred randomly selected students aged 16 to 18 years old weighed 59kgs.Which statement is CORRECT?

Accepted Answer

C. The statistic is the average weight of 200 students aged 16 to 18 years old is 59 kgs.

Answer

A. The parameter is the average weight of students aged 16 to 18 years old is 59kgs.

Answer

B. The parameter is the average weight of students aged 16 to 18 years old is unknown.

Question 19

23. A probability distribution using the means computed from all possible

random samples of a specific size taken from a population.

Accepted Answer

B. sampling distribution of sample mean

Answer

A. frequency distribution

Answer

C. normal distribution

Answer

D. probability distribution

Question 20

24. Which of the following statements is correct?

Accepted Answer

C. the mean of the sampling distribution is equal to the population mean

Answer

A. the mean of the sampling distribution is less than the population mean

Answer

B. the mean of the sampling distribution is greater than the population mean

Answer

D. the mean of the sampling distribution is not equal to the population mean

Question 21

25. If a sample of 5 students will be drawn of a population of 9 students, how many possible combinations of 5 students can be made?

Accepted Answer

A. 126

Answer

C. 32

Answer

B. 54

Question 22

25. A theorem which states that as the sample size n becomes larger, the

sampling distribution of the sample means approaches the normal

distribution.

Accepted Answer

C. Central Limit Theorem

Answer

A. Center Limit Theorem

Answer

B. Core Limit Theorem

Answer

D. Continuous Limit Theorem

Question 23

If the variance of the population is 15, what is the variance of the sampling

distribution of the means of size 5 drawn from this population?

Accepted Answer

A. 3

Answer

B. 1.41

Answer

C. 4.47

Question 24

Which of the following statements is FALSE?

Accepted Answer

B. The interval estimate is also known as the confidence level.

Answer

A. An interval estimate is a range of values which may contain the parameter.

Answer

C. A point estimate is a statistical value used to estimate a parameter.

Question 25

Using a t-table, what is the confidence coefficient when n = 12 with 95% confidence level?

Accepted Answer

B. 2.228

Answer

A. 2.812

Answer

C. 2.201

Question 26

The mean gasoline consumption of 10 cars is 30 liters with the sample standard deviation of 1.5 liters. Use 90% confidence level. What is the appropriate distribution?

Accepted Answer

B. t

Answer

A. z

Answer

C. p

Question 27

The mean gasoline consumption of 10 cars is 30 liters with the sample standard deviation of 1.5 liters. Use 90% confidence level.

What is the t-confidence coefficient?

Accepted Answer

C. 1.860

Answer

A. 1.65

Answer

B. 1.96

Question 28

The mean gasoline consumption of 10 cars is 30 liters with the sample standard deviation of 1.5 liters. Use 90% confidence level. What is the lower limit?

Accepted Answer

B. 28.89

Answer

A. 27

Answer

C. 28.91

Question 29

The mean gasoline consumption of 10 cars is 30 liters with the sample standard deviation of 1.5 liters. Use 90% confidence level. What is the upper limit?

Accepted Answer

A. 31.11

Answer

B. 30.01

Answer

C. 30.11

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