# QNT 561 Week 1 Quiz

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**QNT 561 Week 1 Quiz**

1. Complete the table to the right:

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%.

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.

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

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

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

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.

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.

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.

10. The data on age in years and title of 12 of the most powerful women in country A: 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. Site Annual rainfall (mm) Max. daily temp. (°C) Total plant cover (%) Number of ant species

12. Determine whether a random variable is discrete or continuous:

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.

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:

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.

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.

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.

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.

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