QNT 561 Week 1 Quiz

Question 1

Complete the table to the right:

Question 2

An industrial group reports that there were approximately 152,000 industrial robots operating in a region over the last year. The graph to the right shows the percentages of industrial robots assigned to each of six task categories. Complete parts a through e. Dispensing/Coating-33%; Assembly-21%; Arc Welding-6%; Spot welding-3%; Material removal-36%; Material Handling -1%.

Question 3

Use the data table to complete parts a through c:

Interview 27; Observation and Participation 30; Observation only 17,  Grounded Theory 13, Total 87.

Question 4

Certain measurements are summarized in the histogram to the right. What percentage of the measurements are greater than 12?

Question 5

Explain how the relationship between the mean and median provides information about the symmetry or skewness  of the data’s distribution.

Question 6

Five banks have been ranked by the amount charged to credit and debit cards issued by the banks.

Bank A  456.31 billions

Bank B  462.23 billions

Bank C  436.54 billions

Bank D  236.43 billions

Bank E  193.15 billions

Question 7

Oil field pipes are internally coated in order to prevent corrosion.  Researchers investigated the influence that coating may have on the surface roughness of oil field pipes. A scanning probe instrument was used to measure the surface roughness of each in a sample of 20 sections of coated interior pipe.  The data in micrometers are below:

 1.68; 1.98; 1.93; 2.94; 2.18; 2.36; 2.52; 1.07; 2.76; 2.99; 1.86; 1.32; 2.69; 1.64; 1.25; 2.74; 1.76; 2.86; 2.12; 1.17.

Question 8

The salaries of superstar professional athletes receive much attention in the media. The multimillion dollar long-term contract is now commonplace among this elite group.

Question 9

A magazine published a study on the ammonia levels near the exit ramp of a highway tunnel. Daily ammonia concentrations on eight random days: 1.54; 1.51; 1.38; 1.52; 1.63; 1.44; 1.43; 1.45.

Question 10

 The data on age in years and title of 12 of the most powerful women in country A:

Rank        Age

 1                      50

 2                      52

 3                      41

 4                      43

 5                      53

 6                      57

 7                      51

 8                      47

 9                      52

 10                   42

 11                   53

 12                   37

Data on annual rainfall, maximum daily temperature, percentage of plant cover, and number of ant species recorded at each of 11study sites are given in the table. Complete parts a through c.

Question 12

Determine whether a random variable is discrete or continuous:

 a.       The number of points scored during a basketball game 

 b.      The height of a randomly selected giraffe

 c.       The time it takes for a light bulb to burn out

 d.      The exact time it takes to evaluate 27+72 

 e.      The number of light bulbs that burn out in the next week in a room with 14 bulbs.

Question 13

A discrete random variable x can assume 5 possible values 2, 3, 6, 8, and 10. Its probability distribution is shown here. Complete parts a through c.

Question 14

In a driver-side “star” scoring system for crash-testing new cars, each crash-tested car is given a rating ranging from one star to five stars; the better is the level of crash protection in a head-on collision. A summary of the driver-side star ratings for 98 cars is reproduced in the table:

Question 15

If x is binomial random variable, compute p(x) for each of the cases below.

a.       N=4, x=2, p=0.7; a.       N=6, x=3, q=0.6;       N=5, x=1, p=0.4;      N=4, x=0, p=0.4;       N=6, x=3, q=0.4;   N=5, x=2, p=0.3.

      Question 16

According to a consumer survey of young adults (18-24 years of age)who shop online, 18% own a mobile phone with internet access. In a random sample of 400 young adults who shop online , let x be the number who own a mobile phone with internet access.

 Question 17

      Find a value of a standard normal random variable Z, call it Zo,  such that the following probabilities are satisfied (< and

a.       P(Z <Zo)=0.6704;    P(-Zo<Z<Zo)=0.8662;  P(-Zo<Z<0)=0.4522;      P(-2<Z<Zo)=0.6109.

 Question 18

Financial analysts who make forecasts of stock prices are categorized as either “buy-side” or “sell-side” analysts. Assume the distribution of forecast errors are approximately normally distributed.