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QMB 3200 Final Exam: Descriptive Statistics and Probability Questions and Answers, Exams of Nursing

Regis UniversityNursing

A comprehensive set of questions and answers covering key concepts in descriptive statistics and probability. it's ideal for students preparing for the qmb 3200 final exam, offering valuable practice and reinforcement of learned material. The questions cover topics such as measures of central tendency, variability, and correlation, along with applications of the normal distribution. this resource allows for self-assessment and identification of areas needing further study.

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QMB 3200 Final Exam
Test Qu estions and
Answers (Verified
Answers)
1. Suppose we have the following data: 12, 17, 13, 25, 16, 21, 30, 14, 16,
and
18. To find the 10% trimmed mean, what numbers should be
deleted from the calculation
ANS 12 and 30
2. Which of the following is not resistant to the outliers in a data
set?
a.
Median
b.
Mean
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c

Partial preview of the text

Download QMB 3200 Final Exam: Descriptive Statistics and Probability Questions and Answers and more Exams Nursing in PDF only on Docsity!

QMB 3200 Final Exam

Test Questions and

Answers (Verified

Answers)

  1. Suppose we have the following data: 12, 17, 13, 25, 16, 21, 30, 14, 16, and
  2. To find the 10% trimmed mean, what numbers should be deleted from the calculation ANS 12 and 30 2. Which of the following is not resistant to the outliers in a data set? a. Median b. Mean

c. Variance d. Interquartile range ANS b. mean

b. The median lead level in the water is 8 ppm.

c. The mean lead level in the water is about 8 ppm. d. The median lead level in the water is 7 ppm . ANS d. The median lead level in thewater is 7 ppm.

  1. A student made scores of 85, 56, and 91 on her first three statistics tests.What score does she need to make on her next test to have an 80 test average ANS 88
  2. Growth factors for the population of Dallas in the past five years have been1, 2, 3, 4, and 5, respectively. The geometric mean is ANS ^5square root 120
  3. A sample of 99 distances has a mean of 24 feet and a median of 21.5 feet. Unfortunately, it has just been discovered that an observation that was erroneously recorded as "30" actually had a value of "35." If we make this correction to the data, then
  1. The measure of location that is most likely to be influenced by extreme values in a data set is the ANS mean 11. A student was performing an experiment that compared a new high protein food to the old food for pigs. He found the mean weight gain for subjects consuming the new food to be 12.8 pounds with a standard deviation of 3.5 pounds. Later, he realized that the scale was out of calibration by 1.5 pounds (meaning that the scale weighed items 1.5 pounds more).What shouldbe the summary measures, mean and standard deviation, for the subjects consuming the new food ANS The mean should be 11.3 and the standard deviationshould remain unchanged.
  2. When a set of data has suspect outliers, which of the following is the referred measure of central tendency ANS median
  1. In a sample of 500 students whose mean height is 67.8 inches, 150 were women. If the mean height of the women was 63. inches, what is the mean height of the men in the sample ANS 69.
  2. The coefficient of variation formula ANS the standard deviation divided by themean and multiplied by 100. 15. The summary statistics for the hourly wages of a sample of 130 system analysts are given below Mean = 60 Range = 20 Mode = 73 Variance = 324 Median = 74 The coefficient of variation is equal to

19. The difference between the largest and the smallest data values is the ANS - range

  1. The interquartile range is ANS the difference between Q3 and Q1, the third andfirst quartiles.
  2. The standard deviation of a sample was reported to be
  3. The report indicated that £ x(i-x )^2 = 7200. What is the sample size ANS? 20 - 1 = 19
  4. The numerical value of the standard deviation can never be ANS negative
  5. The interquartile range is used as a measure of variability to overcome the fact that the ANS range is comprised of extreme values. 24. Given the following information Standard deviation = 8 Coefficient of variation = 64% The mean is ANS 8 / 64%= 12.
  6. The sum of deviations of the individual data elements from their meanis ANS always equal to zero
  7. The correlation coefficient ranges between ANS -1 and 1 27. A numerical measure of linear association between two variables is the

ANS -

covariance

  1. A doctor records a pair of information (temperature when admitted, tem- perature 24 hours later) for 400 hospital patients selected at random. He findsthat the average patients' temperature upon admission is 101 degrees and 99degrees 24 hours later.The standard deviation is 1.5 degrees for temperatureswhen admitted and .5 degrees 24 hours later. The correlation between the two temperatures is .8. What is the covariance between the variables ANS £x(i-x )(yi-3)/n-1=.
  2. Suppose the correlation coefficient rxy between the amount of sleep (in hours) "x" and number of yawns made in 8 ANS 00 a.m. classes "y" of 100 businessstatistics students is computed to be -.82. Then ANS the least squares line slopes downward.
  3. what statistic measures both the strength and direction of a linear relation- ship ANS correlation coefficient
  4. Positive values of covariance indicate ANS a positive relation between the inde-pendent and the dependent variables.
  5. The correlation coefficient is ANS a number between -1 and 1 inclusive that measures the strength and direction of the linear relationship between two numericalvariables.

suppose that the distribution of points scored by this player was normal.If he scores 20 points or more 4.78% of the time, what is his standard devia- tion ANS 100-4.78= 95.22 percentile, corresponding z score is 1. 20-15= 5 5/1.66= 3

  1. For the standard normal probability distribution, the area to the left of the mean is ANS. In a standard normal probability distribution, the mean is located at the center of the, curve which means that half of the area is below the mean and half is abovethe mean
  2. If z is a standard normal random variable, then compute P(z > -1.75). ANS Usinga standard normal table, P(z > -1.75) = .96. 41. The newest model of smart car is supposed to get excellent gas mileage.A thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What value represents the 50th percentile ofthis distribution ANS The 50th percentile of a normal distribution is located at its mean = 75
  3. The center of a normal curve is ANS the mean of the distribution.
  1. If z is a standard normal random variable, then compute P(-1.5 < z < 1.5). ANS Using a standard normal table, P(-1.5 < z < 1.5) = .87.
  2. A negative value of z indicates that ANS the number of standard deviations of anobservation is below the mean.
  3. A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a meanof 10,000 and a standard deviation of 1500 steps. One day he took 15,000 steps.What was his percentage of steps that day ANS 15000-10000/1500= 3. The z-score for 15,000 steps is z = 3.33. P(z d 3.33) = 99.96%
  4. A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a meanof 10,000 and a standard deviation of 1500 steps. What percent of the time will he exceed 13,000 steps ANS 13000-10000/1500= 2 The z-score for 13,000 steps is z = 2. P(z e 2) = 2.28% 47. Which of the following is not a characteristic of the normal probability distribution? a. The distribution is symmetrical. b. The mean of the distribution can be negative, zero, or positive. c. The standard deviation must be one. d. The mean, median, and mode are equal. ANS c. The
  1. Parameters are ANS numerical characteristics of a population
  2. When drawing a sample from a population, the goal is for the sampleto ANS match the targeted population.
  3. For a(n) , it is impossible to construct a sampling frame. ANS infinitepopulation
  4. Which of the following is not a symbol for a parameter ANS s
  5. A random sample of 121 bottles of cologne showed an average contentof 4 ounces. It is known that the standard deviation of the contents (i.e., ofthe population) is .22 ounces. In this problem, the value .22 ounces is ANS a parameter. 53. Which of the following is(are) true? I. The mean of a population depends on the particular sample chosen. II. The standard deviations of two different samples from the same population may be the same. III. Statistical inferences can be used to draw conclusions about the popula- tions based on sample data. ANS II and III
  1. A simple random sample of size n from an infinite population is a sample selected such that each element is selected and is selected from the same ANS independently, population.
  2. A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample should have ANS the same probability of beingselected.
  3. A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size ANS n has the sameprobability of being selected.
  4. How many simple random samples of size 5 can be selected from a population of size 8 ANS 8!/5!(8-5)!= 56
  5. There are 6 children in a family. The number of children defines a popula- tion. The number of simple random samples of size 2 (without replacement) that are possible is equal to ANS 6!/2!(6-2)!
  6. The medical director of a company looks at the medical records of all50 employees and finds that the mean systolic blood pressure for these employees is 126.07. The value of 126.07 is ANS a parameter
  7. The sample statistic characteristic s is the point estimator of ANS Ã
  8. Which of the following is a point estimator

ANS thesample.

  1. The fact that the sampling distribution of sample means can be approxi- mated by a normal probability distribution whenever the sample size becomes large is based on the ANS central limit theorem.
  2. A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately ANS normal because of the central limittheorem.
  3. In a recent Gallup Poll, the decision was made to increase the size of its random sample of voters from 1500 people to about 4000 people.The purposeof this increase is to ANS reduce the standard error of the estimate.
  4. As the sample size increases, the standard error of the mean ANS decreases. 73. Which of the following statements regarding the sampling distribution of sample means is incorrect? a.The standard deviation of the sampling distribution is the standard deviationof the population. b. The sampling distribution is found by taking repeated samples of the same size from the population of interest and computing the mean of each sample. c. The mean of the sampling distribution is the mean of the population. d. The sampling distribution is approximately normal when the population is normal or the sample size is sufficiently large. ANS The standard deviation of the sampling distribution is the standard deviation of the population.