Question

PART A: MULITPLE-CHOICE QUESTIONS (1 MARK EACH) VII. (d) Dotplots or boxplots (e) Only boxplots The descriptive statistics of a certain data set include the following: Min = 17, Max = 126, s = 15.5, Q1 = 45, median = 55, Q3 = 95. What is the most likely shape of this distribution? (a) Approximately symmetric (b) Uniform (c) Right-skewed (d) Left-skewed (e) Insufficient information to determine I. Question 1 (This question has 9 parts: Ito IX; 9 marks in total) Products from three suppliers are classified for conformity to air-quality specifications, giving results as shown in the table below. You randomly sample one item. Conform 22 25 30 77 Supplier 1 Supplier 2 Supplier 3 Totals Not Conform 8 5 10 23 Totals 30 30 40 100 VIII. If a certain binomial distribution has Bernoulli trials n = 50 and is left skewed, within which of the following ranges could the expected value fall? What is the probability that the randomly selected item is from Supplier 1? (a) u=5-25 (b) u = 30-45 (c) u = 25 (d) u=5-15 (e) u= 5-10 II. (a) 0.08 _(b) 0.22 (c) 0.25 (d) 0.30 (e) 0.42 Refer to the contingency table in Part I. What is the probability that the randomly selected item is from Supplier 1 OR conforms to the specifications? (a) 0.30 (b) 0.39 (c) 0.45 (d) 0.77 (e) 0.85 IX. Refer to the contingency table in Part I. What is the prob to the specifications? that it is from Supplier 1 AND conforms The descriptive statistics of a certain data set include the following: I = 96, s = 16.8, median = 65 and IQR = 24.4. What is the most likely shape of this distribution? (a) Approximately symmetric (b) Normal (c) Right-skewed (d) Left-skewed le) Insufficient information to determine (a) 0.08 (b) 0.22 (c) 0.30 (d) 0.77 (e) 0.85 IV. Refer to the contingency table in Part I. Given that the randomly selected item conforms to the specifications, what is the probability that it was produced by Supplier 1? (a) 0.2857 _(b) 0.2987 (c) 0.3896 (d) 0.7333 (e) 0.9059 V. The number of airplanes landing at a certain airport each day for 20 days was recorded. What type of data was recorded? (a) Discrete, qualitative data (b) Continuous, quantitative data (c) Qualitative data (d) Discrete, quantitative data (e) Continuous, qualitative VI. If you want to present a good visual comparison of 10 groups on the same scale and all data sets have 400 numbers each, what type or types of graphs can you use? (a) Only histograms (b) Boxplots or histograms (c) Stemplets or dotelots

Answer 1