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introduction to statistical investigations

Questions and Answers of Introduction To Statistical Investigations

On a certain standardized math test, the distribution of sample means has a known parameter mean of 50 and a known standard error of the mean of 4. What is the probability of selecting a single
Probabilities may take on negative values only when the events are occurring less than 50% of the time. True or False. Indicate either T or F for problems 23 through 30.
To find the probability of selecting one event and another, the separate probabilities should be multiplied. True or False. Indicate either T or F for problems 23 through 30.
To find the probability of selecting one event or another, the separate probabilities should be added. True or False. Indicate either T or F for problems 23 through 30.
The more frequently an event occurs, the higher is its probability of occurrence. True or False. Indicate either T or F for problems 23 through 30.
Anegative z score must yield a negative probability value. True or False. Indicate either T or F for problems 23 through 30.
If a coin is flipped 10 times and, by chance, heads turn up 10 times, the probability of obtaining heads on the next flip is .90. True or False. Indicate either T or F for problems 23 through 30.
Probability values can never exceed 1.00. True or False. Indicate either T or F for problems 23 through 30.
If a given event occurs at a frequency of 50%, its probability of occurrence is .50. True or False. Indicate either T or F for problems 23 through 30.
The ratio s/t (specific event over total number of events) defines what important statistical concept?
On a normal distribution, _____% of the scores must lie above the mean.
The middlemost 50% of the scores in a normal distribution fall in such a way that _____% of the scores lie to the left of the mean.
When an event must occur, its probability value is _____.
When an event cannot occur, its probability value is _____.
Most calls for police service in this country (85%) are of a noncriminal nature. Assess the probability that a call for service is actually based on criminal activity.
Recent statistics show that 45 out of every 100 felony arrests end in guilty pleas. Using the FBI’s standard population size of 100,000, indicate the probability value of a given felony arrest
At a certain large, metropolitan police department, records of drivers were examined of all those who had been stopped because of erratic driving and/or having been involved in an accident. When
The freshman basketball coach’s office has a doorway that is 77 inches high. The coach will recruit only those student athletes who have to duck to enter the office. Of all the freshmen who wish to
Agroup of young women trying out for the college softball team is asked to throw the softball as far as possible. The mean distance for the group is 155 feet with a standard deviation of 14.82 feet.
The mean number of filled cavities found among a large group of prison inmates at a county correctional center was 9.5 with an SD of 3.15. What is the probability of selecting at random someone who
The mean of the Need Aggression scale of the Edwards Personal Preference Schedule(EPPS) is 11.55 with an SD of 4.50. What is the probability of selecting at random someone who scored 9 or less?
The mean on the Woodcock Johnson Test of Cognitive Ability (WJ-RCOG) is 100 with an SD of 15. What is the probability of selecting at random someone who scored between 92 and 110?
The mean systolic blood pressure taken from the population of student nurses in a large metropolitan hospital was found to be 120 mm Hg (millimeters of mercury) with an SD of 7.00. What is the
Using the data from problem 6, what is the probability of selecting at random two persons, one of whom scored above 11.00 and another who scored below 8.00?
On the WISC IV, the mean on the arithmetic subtest is 10.00 with a standard deviation of 3.00. What is the probability of selecting at random one person who scored above 11.00 or another person who
The mean weight among women in a certain sorority is 115 pounds with a standard deviation of 13.20 pounds. What is the probability of selecting a single individual who weighsa. between 100 and 112
A certain guided missile travels an average distance of 1500 miles with a standard deviation of 10 miles. What is the probability of any single shot travelinga. more than 1525 miles?b. less than 1495
Assume that a deck of 52 cards is well shuffled.a. What is the probability of selecting a single card, for example, the ace of hearts?b. What are the odds against selecting that single card?c. If
Agiven event occurs at a frequency of 65%. What is the probability that the event will occur?
Acertain event occurs one time out of six due to chance.a. What is the probability of that event occurring?b. What are the odds against that event occurring?
Aset of scores is normally distributed with a mean, median, and mode all equal to 100.The range is 90 and the SD is 20.
A set of sample scores is skewed to the right. The range is 600, the mean is 500, the median is 600, the mode is 700, and the SD is 50.
Anormal distribution produces a range of 600, a mean of 500, a median of 450, a mode of 400, and an SD of 100.
Aset of sample scores shows a range of 50, a mean of 25, a median of 25, a mode of 25, and an SD of 27.
Acertain distribution of scores has a high value of 25, a low value of 5, a range of 20, a mean, median, and mode of 27, and an SD of 4.
Find the stanine for someone whose NCE was 35.80.Using material from Chapters 2 through 5, indicate what is WRONG with at least one value from the following:
Find the SAT score for someone whose T score was 49.
Find the z score for someone whose stanine was 6.04.
Find the Wechsler IQ for someone whose NCE was 42.5.
Find the T score for someone whose stanine was 4.18.
If the mean of a normal distribution is equal to 100, with a range of 50, the highest possible score must be approximately 125. True or False. Indicate either T or F for problems 14 through 20.
If the mean of a set of normally distributed values is 11.83, the median is also equal to 11.83. True or False. Indicate either T or F for problems 14 through 20.
A normal distribution with a mean of 50 and a standard deviation of 10 must have a range that approximates 60. True or False. Indicate either T or F for problems 14 through 20.
All T scores greater than 50 must yield percentiles that are greater than 50. True or False. Indicate either T or F for problems 14 through 20.
AT score of less than 50 must yield a negative z score. True or False. Indicate either T or F for problems 14 through 20.
The standard deviation of the T score distribution must equal the standard deviation of the raw score distribution. True or False. Indicate either T or F for problems 14 through 20.
If the z score is zero, the T score must be 50. True or False. Indicate either T or F for problems 14 through 20.
On any normal distribution, the middlemost 68.26% of the cases fall betweena. which two z scores?b. which two T scores?13. Ascore that falls at the first quartile (25th percentile) must receivea.
On a normal distribution of SAT scores, with a mean of 490 and a standard deviation of 83, find the SAT score for each of the following T scores.a. T = 55b. T = 32c. T = 65d. T = 47
On a normal distribution of English achievement test scores, with a mean of 510 and a standard deviation of 72, find the T score for each of the following raw scores.a. 550b. 400c. 610d. 500
Find the equivalent T scores for the following z scores.a. .10b. -1.42c. 2.03d. -.50
Acertain brand of battery is tested for longevity. One battery is found to last 30 hours and is at the 40th percentile. The standard deviation is 13.52 hours. What is the mean life of the tested
Astudent has a grade-point average of 3.75, which is at the 90th percentile. The standard deviation is .65. Give the values fora. the mean.b. the median.c. the mode.
If a weight distribution for female college students has a mean of 120 pounds, and one individual who weighed 113 pounds was found to be at the 27th percentile,a. find the SD.b. find the range.c.
The mean height among adult males is 68 inches. If one individual is 72 inches tall and has a z score of 1.11,a. find the SD.b. find the range.c. find the highest score.d. find the lowest score.
Suppose the instructor in the class in problem 3 (where the mean was 70 and the SD was 5) decided to give an A grade only to the top 10% (90th percentile) of the class.What is the lowest grade a
The grades of the students in a large statistics class are normally distributed around a mean of 70, with an SD of 5. If the instructor decides to give an Agrade only to the top 15% of the class
The mean verbal SAT score at a certain college is 450, with a standard deviation of 87.Find the SAT scores for the students who scored at the following percentiles.a. 10th percentileb. 95th
The employees at a certain fast-food restaurant have a mean hourly income of $10.00 with a standard deviation of $2.10. Find the actual hourly wages for the employees who have the following z
For a normal distribution, 50% of the z scores must be positive.
All unimodal distributions are normal.
Normal distributions must always be unimodal.
In a normal distribution, it is sometimes possible for the mean to occur above the 50th percentile.
Az score of zero always indicates that the raw score coincides with the mean.
Between z scores of 3.00 under the normal curve can be found almost the entire distribution.
Anegative z score always indicates that the raw score is below the mean.
Apositive z score always yields a percentile rank above 50.
Anegative z score always yields a negative percentile.
An individual score at the 10th percentile is among the top tenth of the distribution.
Approximately what percentage of the scores on a normal distribution falla. below the mean?b. within 1 SD unit from the mean?c. within 2 SD units from the mean?
With reference to which measure of central tendency must z scores always be computed?
On a normal distribution, at what percentile musta. the mean fall?b. the median fall?c. the mode fall?
Road tests of a certain compact car show a mean fuel rating of 30 miles per gallon, with a standard deviation of 2 miles per gallon. What percentage of these autos will achieve results ofa. more than
The mean diastolic blood pressure reading for the entire student body at a large western university was 85.00 mm Hg (millimeters of mercury) with an SD of 7.65.What percent of the student body
The mean serum cholesterol level for a large group of police officers is 195 mg/dl(milligrams per deciliter) with an SD of 35.50. What percent of the officers had cholesterol levels ofa. more than
Using the data from problem 7, find the percentile rank for the following grade-point averages.a. 3.80b. .50c. 2.10d. 3.50
The mean grade-point average for the freshman class at AC (American Commuterversity)is 2.00, with an SD of .60. What percentage of the freshman class had gradepoint averages ofa. below 2.50?b. above
The mean resting pulse rate for a large group of varsity athletes was 72 with a standard deviation of 2.56. What percentage of the group had pulse rates of 70 or lower?
The mean IQ among the members of a certain national fraternity is 118 with a standard deviation of 9.46. What percentage of the members had IQs of 115 or higher?
Find the percentage of cases falling between the following pairs of z scores.a. -1.52 and .15b. -2.50 and 1.65c. -1.96 and -.25d. .59 and 1.59
Find the percentage of cases falling above each of the following z scores.a. 1.25b. -1.65c. 1.33d. -.19
Find the percentage of cases falling below each of the following z scores.a. 1.39b. .13c. -.86d. -1.96
Find the percentage of cases falling between each of the following z scores and the mean.a. .70b. 1.28c. -.42d. -.09
The mean is to central tendency as the standard deviation is to variability.
The standard deviation can never be greater than the range.
The interdecile range includes only the middlemost 10% of the distribution.
In any distribution, the median must fall at the 50th percentile.
The interquartile range includes only the middlemost 25% of the distribution.
The 9th decile must always coincide with the 90th percentile.
The distribution with the largest range necessarily has the largest standard deviation.
The standard deviation can only be computed with reference to the mean.
Using the data in problem 17, calculate the variance.
If a given mesokurtic distribution has a mean of 100 and a standard deviation of 15, find the approximate value of the range.
For a quick evaluation of kurtosis, what are the two key measures of variability that you must know?
If a distribution is mesokurtic and R = 120, find the approximate value of the standard deviation.
For the following symmetrical distributions, evaluate each for the type of kurtosis: a. M = 50, Mdn = 50, Mo=50, R = 100, SD = 2. b. M = 500, Mdn 500, Mo 500, R = 600, SD = 100. c. M = 100, Mdn =
What is the relationship between the relative size of the standard deviation and the kurtosis of a distribution?
Under what conditions can a negative standard deviation be calculated?
Calculate the range and the standard deviation for the following set of scores: 10, 10, 10, 10, 10, 10, 10.
Aforensic psychologist is interested in assessing the prevalence of major depressive disorders(MDD) among a sample of prison inmates. Arandom sample of 13 inmates was selected and tested on the MDI

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