Statistical Methods 2nd Edition Cheryl Ann Willard - Solutions

Given the following set of scores: 8, 10, 10, 7, 12, 10, 8, 10, 7, 9a. what is the mode?b. what is the median?c. what is the mean?
Given the following set of scores: 6, 8, 3, 7, 9, 3, 7, 4, 7a. what is the mode?b. what is the median?c. what is the mean?
Decide which measure of central tendency should be used in the following situations:a. It is the only measure of central tendency that can be used for data measured on a nominal scale.b. It can only be used for data measured on interval and ratio scales.c. It can be used for all scales of
What two factors need to be considered when deciding which measure of central tendency to report?
Why is it inappropriate to use the mean as a measure of central tendency in distributions that are skewed?
One of the presenters at an auto show wanted to know what color of motor vehicle is preferred. She asked the participants to choose from: black, white, blue, red, green, and tan. Which measure of central tendency should be reported?
Dr. Hardnose is known for his difficult tests. The biology mid-term exam was no exception and many of the students obtained low scores. What measure of central tendency should be used to reflect the performance of the class and why?
Which measure of central tendency should be used when reporting the annual income of US households and why?
In a distribution of scores, the median was 60, the mean was 98, and the mode was 42.What is the shape of the distribution?
In a distribution of scores, the mode was 68, the median was 59, and the mean was 47.What shape is the distribution?
In a negatively skewed distribution, Tyron’s score was the same as the median, Jorge’s score was the same as the mode, and Geraldine’s score was the same as the mean.a. Who scored the highest?b. Who scored the lowest?
Discuss the locations of the mode, median, and mean in the normal distribution and in skewed distributions.
What is meant by the statement, “The sample mean is an unbiased estimate of the population mean?”
Define the three most common measures of central tendency and discuss their advantages and disadvantages.
Construct a grouped frequency distribution for the following set of scores:55 93 67 84 68 77 82 81 48 56 46 65 82 51 79 80 90 73 84 91
Given the following cumulative frequency distribution:X f cf 21 2 11 20 3 9 19 2 6 18 3 4 17 0 1 16 1 1a. What is N?b. What is the cumulative frequency of a score of 18?c. What is the percentile rank of a score of 19?d. What is the relative frequency of a score of 20?
For the following set of scores, first construct a simple frequency distribution. Then include columns for relative frequency, cumulative frequency, and percentile rank.25 30 23 27 28 22 27 28 26 29 29 23 25 26 26 25
The high score on a final exam in history was 84 and the low score was 22. Assume the professor constructs a grouped frequency distribution for the class.a. What is the range?b. What size of class interval should be used?c. What should the first entry be at the bottom of the distribution?
Discuss the characteristics of the normal distribution curve.
Discuss the differences between empirical and theoretical distributions.
Under what circumstances would you use a bar graph, histogram, and frequency polygon?
Identify the appropriate type of graph that should be used for the variables listed below:a. military rankb. intelligence scoresc. annual incomed. eye colore. letter gradesf. a comparison of life expectancy rates for males and females g. puppy weights
Summation Operators:a. ΣX =b. ΣY=c. ΣX2 =d. ΣY2 =e. ΣXY =f. (ΣX)(ΣY) = g. (ΣX)2 = h. ΣX2 + ΣY2 = i. ΣX2 + (ΣY)2 = j. Σ(X – 1) = k. Σ(X – 1)2 = X Y x y2 XY (X-1) (X-1) 2440 3654 10
Using the correct order of operations, solve the following equations:a. (24 ÷ 8)2+ (13 + 4) + 52=b. [(23 – 17) – (69 ÷ 3)2+ 62] =c. [42+ (9 ÷ 3+32)] – 62=
Perform the calculations required for the following signed numbers:a. (–12) – (–8) =b. 10 + (–11) + 5 + (–5) =c. (6)(–2) =d. (–4)(–5) =e. (–28) ÷ (7) =f. (–80) ÷ (–20) =
There were 98 questions on Diego’s final psychology exam. He answered 85 of them correctly. Sofia answered 72 out of 80 questions correctly on her final geometry exam. Who scored higher?
In an English class of 35 students, 28 are female. In a history class of 60 students, 42 are male. Which class has a higher percent of females?
Write the following percentages as decimal proportions.a. 1%b. 28%c. 112%d. 364.7%
Round the numbers below to the nearest hundredth.a. 3.5151b. 64.5891c. 19.67843d. 36.998e. 3.86492
After drinking a beverage that contained 100, 200, or 300 mg of caffeine, research participants were asked to hold a pencil halfway inside of a tube while trying not to touch the tube with the pencil. The tube measured 8 mm in diameter, 2 mm larger than the pencil. The number of times that the
One group of students studied for their exam while listening to music. Another group studied in silence. Exam scores for the two groups were then compared. What are the independent and dependent variables?
Research participants watched the same situational comedy either alone or with other participants. All participants then rated the funniness of the program. What are the independent and dependent variables?
Identify the scale of measurement for the following variables:a. The number on football jerseysb. Scores on ability tests (IQ, GRE, SAT)c. Shirt size (small, medium, large)d. Reaction time
Determine the lower and upper limits for the values listed below.a. Hiking distance: 12.332 milesb. Words typed per minute: 48 wordsc. Time spent studying per week: 28.5 hoursd. Amount of water consumed in a day: 1.83 liters
Identify the following as either continuous or discrete variables.a. Number of desks in a classroomb. Distance from the earth to the moonc. Amount of time that your phone holds a charged. How many pearls there are on a necklace

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