REVIEW QUIZ on basic statistical knowledge NAME: Uyen Nguyen Show complete solution method (steps) for full credit20 homework points (plus additional Extra Credit points are possible)

1. (5 Pt. Ch2&3) After working one year as an Executive Trainee for a large hotel chain, you quit your position of busboy giving up the weird hours and poor pay to open your own sandwich shop. After getting setup, you decide to be a scientific manager and collect some data on customers served. A recent 23-day period had the following daily sandwich sales:41, 36, 42, 37, 36, 39, 27, 39, 37, 47, 39, 33, 44, 39, 38, 33, 28, 37, 41, 37, 42, 36, 46 a. Prepare a table of all the data with corresponding frequencies b. Plot the data table as a frequency polygon (see text Fig. 2.1) c. Determine the mean, median, mode for this Population data

2. (5 Pt. Ch3) A large high-rise hotel has forms in each room for customers to provide comments on service. Ten floors were sampled on a certain day and the number of rooms per floor that indicated any complaints were as shown below. Determine the sample mean, median, mode, range, sample variance and sample standard deviation for this data: floor # of complaints 1 5 2 7 3 1 5 3 6 0 9 2 13 1 14 3 15 1 18 5

3. (5 Pt. Ch5&6) The Army discovered that a recent shipment of grenades (both live and practice) had some labels inadvertently misapplied as to which case contained each kind. The manufacturer assured them that only 3% of the cases were labeled wrong. In a sample of 8 cases, what is the probability (show by calculation):

a. that no cases were labeled wrong

b. that no more than 1 case is labeled incorrectly

4. (5 Pt. Ch7) Shampoo is sold in bottles that are labeled 16.00 ounces although they could hold up to 16.24 oz. A study of the filling process shows normal distribution [i.e. N(0,1)] with population mean 16 oz. and variance 0.01 oz. What is the probability of spilling during filling?

5. (5 Pt. Ch7) Student accumulated course points are normally distributed with standard deviation of 40. If the instructor wants the bottom of C grade cut off at 300 points, what will the class average have to be for 70% to pass with C or better?

6. (5 Pt.) Define and give an example to illustrate the following terms:

a. Probability

b. Statistic

c. Frequency Distribution

d. Population

e. Skewed

7. (2 Pt.) In a standard 52-card deck, what is the probability of drawing the three of hearts followed by the four of diamonds (two-card hand, no replacement)

8. (3 Pt.) If you were going to determine the probability that any one student randomly chosen from a group was married, what is the minimum amount of information you must gather on the group to calculate this statistic. (How many items of data and what are they)

Circle all of the following words that apply to this type of data & distribution

attributes variables discrete continuous

Standard Normal Distribution Worksheet (1 point each)

The probability of values of z that range between 0 up to 1.00 can be found from a table such as the page inside the back cover as:

P(0< z <1.00) = .3413

In the problems below, draw the diagram of the situation, label the areas, show your solution method and calculations to support your final answer.

1. What is P(-3.00 < z < +3.00) =

2. Find P(-1.85< z < 2.90) =

3. What is P(z < -2.46) =

4. Find the value of A such that ( -A < z < A) = .9974

5. Find A such that ( -A < z < A) = .9500