ADVANCE STATISTICS COMPREHENSIVE EXASMINATIONS 2024 Flashcards by ROLIZA ROSAL

What is the formula for calculating the coefficient of variation?
A. (Standard deviation / Mean) × 100%
B. (Mean / Standard deviation) × 100%
C. (Range / Mean) × 100%
D. (Mean / Range) × 100%

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Which of the following is not a measure of dispersion?
A. Variance
B. Standard deviation
C. Range
D. Mode

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What is the formula for calculating the sample size needed to estimate a population mean with
a specified margin of error?
A. n = (zσ / E)²
B. n = (tσ / E)²
C. n = (z / E)²
D. n = (t / E)²

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What is the difference between a one-tailed and a two-tailed test in hypothesis testing?
A. A one-tailed test is used when the null hypothesis is directional, while a two-tailed test is used when the null hypothesis is non-directional.
B. A one-tailed test is used when the null hypothesis is non-directional, while a two-tailed test is used when the null hypothesis is directional.
C. A one-tailed test is used when the sample size is small, while a two-tailed test is used when the sample size is large.
D. A one-tailed test is used when the population variance is known, while a two-tailed test is used when the population variance is unknown.

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Which of the following is not a type of probability sampling?
A. Simple random sampling
B. Convenience sampling
C. Systematic sampling
D. Stratified sampling

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. What is the formula for calculating the coefficient of determination (r²) in linear regression?
A. r² = (correlation coefficient)²
B. r² = (covariance / (standard deviation of x * standard deviation of y))²
C. r² = (covariance / (standard deviation of x * standard deviation of y))
D. r² = (correlation coefficient) / (standard deviation of x * standard deviation of y)

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What is the formula for calculating the expected value of a discrete random variable?
A. E(X) = ∑(x * P(x))
B. E(X) = ∑(x / P(x))
C. E(X) = ∑(P(x) / x)
D. E(X) = ∑(1 / P(x))

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. Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Mode
D. Standard deviation

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. What is the range of the following set of data: 5, 7, 9, 11, 13?
A. 6
B. 8
C. 10
D. 12

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. What is the formula for calculating the sample variance?
A. ∑(x - μ) / n
B. ∑(x - μ)² / n
C. ∑(x - μ) / (n - 1)
D. ∑(x - μ)² / (n - 1)

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What is the standard deviation of the following set of data: 2, 4, 6, 8, 10?
A. 2.0
B. 2.5
C. 3.0
D. 3.5

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What is the formula for calculating the z-score of a data point?
A. (x - μ) / σ
B. (x - σ) / μ
C. (μ - x) / σ
D. (σ - x) / μ

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What is the formula for calculating the confidence interval for a population mean?
A. x̄ ± zσ / √n
B. x̄ ± tσ / √n
C. x̄ ± zσ / n
D. x̄ ± tσ / n

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. What is the difference between descriptive and inferential statistics?
A. Descriptive statistics is used to make generalizations about a population while inferential statistics is used to summarize data.
B. Descriptive statistics is used to summarize and describe data while inferential statistics is used to make generalizations about a population based on a sample of data.
C. Descriptive statistics and inferential statistics are interchangeable terms.
D. Descriptive statistics and inferential statistics are both used to analyze data, but they serve different purposes.

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What is a population in statistics?
A. The entire group of individuals or objects that a researcher is interested in studying.
B. A characteristic of a sample, such as the sample mean or standard deviation.
C. A subset of a population that is selected for a study.
D. The range of values that a variable can take.

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What is a sample in statistics?
A. The entire group of individuals or objects that a researcher is interested in studying.
B. A characteristic of a sample, such as the sample mean or standard deviation.
C. A subset of a population that is selected for a study.
D. The range of values that a variable can take.

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What is a parameter in statistics?
A. The range of values that a variable can take.
B. The probability of observing a certain value or range of values for a variable.
C. A characteristic of a sample, such as the sample mean or standard deviation.
D. A characteristic of a population, such as the population mean or standard deviation.

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What is a statistic in statistics?
A. A characteristic of a sample, such as the sample mean or standard deviation.
B. A characteristic of a population, such as the population mean or standard deviation.
C. The probability of observing a certain value or range of values for a variable.
D. The range of values that a variable can take.

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What is the difference between a parameter and a statistic?
A. A parameter is a characteristic of a sample, while a statistic is a characteristic of a population.
B. A parameter is a characteristic of a population, while a statistic is a characteristic of a sample.
C. A parameter and a statistic are both used to analyze data, but they serve different purposes.
D. A parameter and a statistic are interchangeable terms.

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What is the mean of a data set?
A. middle value in a data set.
B. The most common value in a data set.
C. The difference between the highest and lowest values in a data set.
D. The sum of all the values in a data set divided by the number of values.

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What is the median of a data set?
A. The middle value in a data set.
B. The most common value in a data set.
C. The difference between the highest and lowest values in a data set.
D. The sum of all the values in a data set divided by the number of values.

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What is the mode of a data set?
A. The middle value in a data set.
B. The most common value in a data set.
C. The difference between the highest and lowest values in a data set.
D. The sum of all the values in a data set divided by the number of values.

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What is the range of a data set?
A. The middle value in a data set.
B. The most common value in a data set.
C. The difference between the highest and lowest values.
D. The sum of all the values in a data set divided by the number of values.

What is the variance of a data set?
A. The number of standard deviations from the mean.
B. The average distance of each data point from the mean.
C. The difference between the highest and lowest values in a data set.
D. The sum of the squared deviations from the mean divided by the number of values minus one.

What is the standard deviation of a data set? A. The number of standard deviations from the mean. B. The average distance of each data point from the mean. C. The difference between the highest and lowest values in a data set. D. The sum of the squared deviations from the mean divided by the number of values minus one.

What is a z-score? A. The number of standard deviations from the mean. B. The average distance of each data point from the mean. C. The difference between the highest and lowest values in a data set. D. The sum of the squared deviations from the mean divided by the number of values minus one.

What is a confidence interval? A. The range of values within which we can be certain the sample statistic falls. B. The range of values within which we can be certain the true population parameter falls. C. The range of values within which we can be certain the true population parameter and sample statistic differ. D. The range of values within which we can be certain the true population parameter and sample statistic are equal.

What is a hypothesis test? A. A statistical test used to determine whether a sample is representative of the population. B. A statistical test used to determine whether there is a significant relationship between two variables. C. A statistical test used to determine whether there is a significant difference between two or more groups. D. A statistical test used to determine whether a sample mean is significantly different from a population mean.

What is the null hypothesis in a hypothesis test? A. The hypothesis that a sample is representative of the population. B. The hypothesis that there is a significant relationship between two variables. C. The hypothesis that there is a significant difference between two or more groups. D. The hypothesis that there is no significant difference between a sample mean and a population mean.

What is the alternative hypothesis in a hypothesis test? A. The hypothesis that a sample is not representative of the population. B. The hypothesis that there is a significant relationship between two variables. C. The hypothesis that there is a significant difference between two or more groups. D. The hypothesis that there is a significant difference between a sample mean and a population mean.

What is a type I error in hypothesis testing? A. Rejecting the null hypothesis when it is true. B. Rejecting the null hypothesis when it is false. C. Failing to reject the null hypothesis when it is true. D. Failing to reject the null hypothesis when it is false.

What is a type II error in hypothesis testing? A. Rejecting the null hypothesis when it is true. B. Failing to reject the null hypothesis when it is false. C. Rejecting the alternative hypothesis when it is true. D. Failing to reject the alternative hypothesis when it is true.

What is the p-value in hypothesis testing? A. The probability of making a type I error. B. The probability of making a type II error. C. The probability of observing a test statistic as extreme as the one calculated from the sample, assuming the null hypothesis is true. D. The probability of observing a test statistic as extreme as the one calculated from the sample, assuming the alternative hypothesis is true.

What is the formula for calculating the degrees of freedom in a chi-square test? A. df = n - 1 B. df = k - 1 C. df = (n - 1)(k - 1) D. df = n + k - 2

What is the standard deviation? A. The sum of the squared deviations from the mean, divided by the sample size. B. The difference between the highest and lowest values in a dataset. C. The average of the deviations from the mean. D. The square root of the variance.

Which of the following symbols denotes population mean? X B. σ C. μ D. s

A population consists of the five measurements 2, 6, 8, 0, and 1. How many different samples of size n = 2 can be drawn from the population? A. 10 B. 20 C. 30 D. 45

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 Organize a frequency distribution. What is your class interval? A. 8 B. 9 C. 10 D. 11

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 What is the mean? A. 37.8 B. 38. 8 C. 39.8 D. 43

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 What is the median? A. 39.5 B. 40 C. 41 D. 42

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 What is the mode? A. 35 B. 36 C. 37 D. 40

B/C

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 What is the standard deviation? A. 14 B. 13 C. 12 D. 11

The following is the result of statistics test. 33 60 47 37 42 31 27 26 70 48 39 62 44 53 36 30 38 36 77 30 30 69 35 39 37 34 28 40 71 43 If the highest possible score is 70, what is the class proficiency? A. 61% B. 63% C. 64% D. 65%

Refer to the following conditions. Answer options are: A. 100% B. 96% C. 68% D.50% If normally distributed test scores have a mean equal 40 and a standard deviation of 5, what percentage of their scores will be between: 44. 25 to 55

Use this information to determine whether each of the following statements is: A. true B. false C. lacking given information 47. May Ann scored 30 in English, 30 in Math, and 30 in science. Relative to other students, she did about equally in three subject areas.

Use this information to determine whether each of the following statements is: A. true B. false C. lacking given information Marjorie scored 46 in English and 28 in math, relative to other students, she did better in English than in math.

Use this information to determine whether each of the following statements is: A. true B. false C. lacking given information Junelyn scored 32 in both math and science. Relative to other students, she did better in Math than in Science.

Here is how several individuals performed on an intelligence test. What is each person’s deviation IQ score if the mean of these scores is 100 and the sd is 16. Answer options: A. 68 B. 84 C. 108 D. 132 50. Theodore scored 2 sd above the mean.,

A blood pressure test was given to 350 women ages 20-36. It showed that their mean systolic pressure was 115. Hg, with a standard deviation of 11. mm Hg. 53. Determine the z score of a woman who had a systolic blood pressure reading of 148 mm Hg. A. 3 B. 2.8 C. 2.0 D. -2.0 54. The z-score for one woman was -1.15. What is her systolic blood pressure reading? A. 102 B. 113 C. 123 D. 134. (TWO ANSWERS REQUIRED)

53. A 54. D

For number 55- 57, refer to the following answer options: A. 25% B. 50% C. 75% D.100% A recent survey by the Philippine Statistics office determined that the median for monthly housing rent was P2 000. The first quartile for monthly rental was P 1 000. Find the percent of monthly housing rent that were: 55. more than P3 000 56. less than P 1000 57. between P 1000 and P3 000. (THREE ANSWERS REQUIRED)

55. C 56. A 57. D

For number 58 -60 , refer to the following information: Answer Options: A.7.2% B. 5.8% C. 7% D. 41% E. 46.8% F. 92.8% Humans are on average , taller today than 200 years ago. Today, the mean height of 14 year-old boys is 65 inches. Use the following relative frequency distribution of heights of a group 14 yr. old boys from the 19th century to answer the following questions: Height in inches - Percent of boys #under 50 - 0.2% #50-54 - 7% #55-59 - 46% #60-64 - 41% #65-69 - 5.8% 58. What percent of the group of 19th century boys was at least 60 in. tall? 59. What is the probability that one of the 19th century selected at random was at least 55 in, tall but less than 65 in. tall? 60. How many percent of the population are will not meet the PNP height requirement of 55 in. in height? (THREE ANSWERS REQUIRED)

58. E 59. D 60. A