PART 1
Which of the following represents a discrete random variable?
A. The weight in kilograms of randomly selected Academic Track students
B. The time it takes a student to finish answering the supplementary activity sheet.
C. The number of people who experience side effects after COVID vaccination.
D. A patient's body temperature reading in °C.
C. The number of people who experience side effects after COVID vaccination.
Let G be a random variable defining number of students who are always absent in the class of Statistics and Probability. What is the mean of G from the given table?
A. 3.9 B. 1.5 C. 1 D. 3
A. 3.9
If the average age of retirement of public employees is 62 years with a standard deviation of 3 years, what is the approximate age range in which 68% of people retire?
A. 56- 66 B. -53- 71 C. 59 - 65 D. 62- 65
C. 59 - 65
The average weight of the whole class under study is 58 kg. The underlined words is the___________________________
A. parameter C. sample
B. population D. Statistics
B. population
A population has a normal distribution with a mean of 50 and a standard deviation of 10. If a random sample of size 9 is taken from the population, then what is the probability that this sample mean will be between 48 and 54?
A. 0.060 B. 0.228 C. 0.385 D. 0.611
D. 0.611
An urn contains 7 balls. Each ball is labelled with numbers 0, 1, 2, 3, 4, 5, and 6. A person randomly draws one ball. Let X be the random variable for the number on the ball. What possible values can be assigned to the random variable X?
A. X= { 0, 2, 3, 4, 5, 6 } C. X= { 0, 1, 2, 3, 4, 5 }
B. X= { 0, 1, 2, 3, 4, 5, 6 } D. X= { 1, 2, 3, 4, 5, 6 }
B. X= { 0, 1, 2, 3, 4, 5, 6 }
'The following data shows the probability for the number of Casuy candy sold in a given day at South Station Pasalubong Center. What is P( x > 22)
A. 0. 85 B. 0.15 C.1 D.0
C.1
Which of the following is NOT a property of a standard normal curve?
A. The distribution curve is bell-shaped.
B. The curve is symmetrical about its center.
C. The mean, the median, and the mode coincide at the center.
D. The tails of the curve flatten out definitely along the horizontal axis
D. The tails of the curve flatten out definitely along the horizontal axis
What is true among the following statements.
A. As the sample size increases, the variance of the sample mean increases,
B. As the sample size decreases, the variance of the sample mean decreases.
C. As the sample size increases, the variance of the sample mean decreases.
D. As the sample size increases, the variance of the sample mean increases.
C. As the sample size increases, the variance of the sample mean decreases.
In estimating population mean, the Z alpha/2 (sigma/sqrt n) in the formula is
A. Population mean C. z-value
B. Margin of error D. Standard deviation
B. Margin of error
In tossing two coins, what is the probability of getting all heads?
A. 1/2 B. 1/3 C. 1/4 D. 1/5
C. 1/4
Because of Covid-19 pandemic, the IATF are limiting the number of customers in a restaurant under the MECQ areas. Only 20% of their available chairs the costumers are allowed to enter in their establishment. Mr. Kurt computes the probabilities for the number of costumers going-in each day in his restaurant. The discrete probability distribution is shown below.
By completing the above table, what is the mean number of costumers going-in each day in his restaurant?
A. 3.67 B. 4.77 C. 2.87 D. 4.32
D. 4.32
If x-value follows a normal distribution with mean 15 and standard deviation 3, what is the z-value of x = 9?
A. -1 B. -2 C. -3 D.1
B. -2
What formula of SE should be used when the variance is known in the sampling distribution of sample mean for normal population?
D.
Find the 95% confidence interval estimate of population mean given the standard deviation of 8, sample size of 60, and sample mean of 28.
A. 25.981 < p < 30.019 C. 5.981 <1.c < 10.019
B. 57.981 < p < 62.019 D. 92.981 < p < 97.019
A. 25.981 < p < 30.019
Refer to the table below:
What is P(1)xP(2)
A. 0.0467 B. 0.1406 C. 0.25 D. 0.75
B. 0.1406
Because of Covid-19 pandemic, the IATF are limiting the number of customers in a restaurant under the MECQ areas. Only 20% of their available chairs the costumers are allowed to enter in their establishment. Mr. Kurt computes the probabilities for the number of costumers going-in each day in his restaurant. The discrete probability distribution is shown below.
By completing the above table, what is the variance of the number of costumers going-in each day in his restaurant?
A. 1.30 B. 1.65 C. 2.35 D. 3.16
A. 1.30
A population consists of the values (1, 2, 3) drawn with a sample of size 2. What is the mean of the sampling distribution of the sample means?
A. 1.00 B. 2.00 C. 3.00 D. 4.00
B. 2.00
The distribution is approximately normal if nn0 regardless of the shape of distribution. If n s30, the sample mean is also approximately normal as long as the population is normally distributed.
A. True C. False
B. Sometimes True D. Either true or false
A. True
What is the required sample size if the p. 0.45, E = 0.5 and confidence level is 99%?
A. 5 B. 6 C. 7 D. 8
C. 7
The random variable A representing the number of Almonds in a chocolate bar have the following probability distribution. What is the value of x?
A. 3/20 B. 1/4 C. 1/5 D. cannot be determined
A. 3/20
Because of Covid-19 pandemic, the IATF are limiting the number of customers in a restaurant under the MECQ areas. Only 20% of their available chairs the costumers are allowed to enter in their establishment. Mr. Kurt computes the probabilities for the number of costumers going-in each day in his restaurant. The discrete probability distribution is shown below.
What is the standard deviation of the number of costumers going-in each day in his restaurant?
A. 1.09 B. 1.14 C. 1.28 D. 1.78
B. 1.14
Suppose three coins are tossed. Let Y be the random variable representing the number of tails that occur. What would be the possible value of the random variable Y?
A. 4, 3 2, 1 C. 3, 2, 1, 0
B. 2,1, 0 D. Cannot be determined
C. 3, 2, 1, 0
What can you say about the mean of the sampling distribution of a population with a mean of 50 and with a standard deviation of 3 which drawn with a random sample of 10 measurement?
A. It is equal to the population mean.
B. It is greater than the population mean.
C. It is less than the population mean.
D. Cannot be determined.
A. It is equal to the population mean.
If the sample size is 23 and a is given, what is the most appropriate formula to estimate the confidence interval?
A.