1.Conceptual Questions

(a)In each of these statements,state what level of measurement is indicated; nominal, ordinal, interval or ratio.

(i)Ranks in the Army.

(ii)Eye colors

(iii)Body temperatures in degrees Fahrenheit or Celsius.

(b)Classify each variable asdiscreteorcontinuous.

(i)The number of doughnuts sold each day at a particular Dunkin Donuts.

(ii)Lifetime (in hours) of 12 flashlight batteries.

(iii)Number of movies a person watches per year.

2.Earthquake Strengths- Twelve major earthquakes had Richter magnitudes shown here.

7.0, 6.2, 7.7, 8.0, 6.4, 6.2

7.2, 5.4, 6.4, 6.5, 7.2, 5.4

For the above data find (a) the mean, (b) the median, (c) the mode, and the (d) midrange.

3.For the grouped frequency distribution below find the (a)meanand (b)modal class.

Net Worth of Corporations- These data represent the net worth (in billions of dollars) of 45 national corporations.

Class LimitsFrequency

10 - 202

21 - 318

32 - 4215

43 - 537

54 - 6410

65 - 753

4.Find therange,varianceandstandard deviation.Assume the data represent samples, and use the shortcut formula for the unbiased estimator to compute the variance and standard deviation.

Cigarette Taxes- The increase (in cents) in cigarette taxes for 17 states in a 6-month period are:

60, 20, 40, 40, 45, 12, 34, 51, 30, 70, 42, 31, 69, 32, 8, 18, 50.

5.In the following group frequency distribution, find the variance and standard deviation.

Murder Rates - The data represent the murder rate per 100,000 individuals in a sample of selected cities in the United States.

Class LimitsFrequency

5 - 118

12 - 185

19 - 257

26 - 321

33 - 391

40 - 463

6.Teacher's Salaries- The average teacher's salary in a particular state is $54,166.If the standard deviation is $10,200,find the z-scorescorresponding to the following salaries.

(a)$74,566

(b)$43,966

(c)$54,166

(d)$79,666

7.Rolling Dice- If a pair of dice is rolledone time, find the probability of getting the following results. (Simplify all fractions)

(a)an even number.

(b)a number greater than 10.

(c)a number less than 5 or even.

8.Selecting a Student- In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males.If a student is selected at random, find the probability of selecting the following:

(a)a junior or a female.

(b)a senior or a female.

(c)a junior or a senior.

9.Membership in a Civic Organization- In a civic organization, there are 38 members; 15 are men and 23 are women.If3 members are selectedto plan the July 4^thparade, find the probability that all 3 members selected are men.Would you consider this event likely?

10.Selecting a Golf Foursome- How many ways can a foursome of 2 men and2 women be selected from 10 men and 12 women in a golf club?