Practice Problems - Topic 2

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Practice Problems – Topic 2 Note: Unless the problem specifically states that you can use Minitab or Excel, assume that you cannot and complete the problem by hand and calculator. 1. You may use Minitab or Excel for this problem. The following data represent the number of books read by 42 grade 6 students between September and June: 14 9 21 19 35 26 23 21 19 40 4 24 44 32 12 6 7 18 38 18 1 48 20 11 8 24 17 15 13 7 28 16 6 9 31 15 25 18 32 33 26 26 a. Determine the mean and standard deviation of the data. (2.4) b. What is the median number of books read? (2.4) c. Make a histogram of the data. Does it look normally distributed? (2.5) d. Make a boxplot of the data. Are there any outliers? (2.5) 2. Stephanie has marks of 80%, 72%, 68%, 83%, 70%, 62% and 81% in 7 of her subjects. What percentage does she need in her 8’th course to have an average of 75%? (2.4) 3. A set of data has mean 43.5 and standard deviation 2.5. Within what symmetric limits around the mean will 75% of the data lie? (2.3) 4. The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kg/cm 2 and a standard deviation of 100 kg/cm 2 . (2.3) a. What is the probability that a sample’s strength is less than 6250 kg/cm 2 ? b. What strength is exceeded by 95% of the samples? 5. PVC pipe is manufactured with a mean diameter of 1.010 cm and a standard deviation of 0.003 cm. Find the probability that a random sample of n = 9 sections of pipe will have a sample mean diameter greater than 1.009 cm and less than 1.012 cm. (2.3) 6. A normal population has mean 100 and variance 25. How large must the random sample be if we want the standard error of the sample mean to be 1.5? (2.3) 7. The following are recorded benzene boiling points measured after distillation in an aromatics plant: 80.1 80.5 79.7 79.9 80.3 80.2 Questions 1-3 are adapted from Statistics & Data, Coles Notes Study Guide, 2010. Questions 4-7 are adapted from Applied Statistics and Probability for Engineers, Montgomery and Runger, 4’ed., Wiley, 2007. 1

Calculate the sample mean, the sample variance, and the sample standard deviation. (2.4) 8. You may use Minitab or Excel for this problem. A CHG3337 student recorded the time in minutes that it too her to walk to the University of Ottawa took. The times in minutes are in the following table. The data is available on the CHG3337 Brightspace in the Practice Problems 1 folder in the Minitab worksheet PP1Q09.MTW. W e e k M o n T u e s W e d T h u r s F r i 1 2 3 . 7 2 4 2 0 . 9 2 5 . 1 2 4 . 6 2 2 0 . 9 2 3 . 4 2 0 2 1 . 6 2 2 . 3 3 2 4 . 3 2 7 . 6 2 8 . 9 2 9 . 2 2 3 . 5 4 2 4 . 3 2 4 . 5 2 7 2 7 . 2 2 7 . 6 5 2 0 . 3 2 0 . 9 2 3 . 4 3 7 . 3 2 3 . 1 6 2 8 2 6 2 5 . 4 2 3 . 4 3 0 7 2 4 . 4 2 7 2 3 . 7 2 2 . 1 2 4 . 3 8 2 2 . 6 2 6 . 5 2 1 . 4 2 4 . 5 2 5 . 1 9 2 6 . 7 2 3 . 9 2 5 . 8 2 2 2 2 . 3 1 0 2 4 . 2 8 . 2 0 . 2 4 . 2 0 . Questions 1-3 are adapted from Statistics & Data, Coles Notes Study Guide, 2010. Questions 4-7 are adapted from Applied Statistics and Probability for Engineers, Montgomery and Runger, 4’ed., Wiley, 2007. 2

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Part 2. Refer to the Excel file Cereal data set to complete the following tasks. All results and explanations need to be reported within this Word document after each question. Make sure to use complete sentences when explaining your results. Your results should be formatted and edited. Data Set: Cereals The data set shows the name of different brands of cereals, the manufacturers, the total calories, proteins, sugar, fat, potassium, sodium, location of the shelf in the supermarket, etc. The amount of sugar, protein, etc., is measured in grams (g). Exercise 1: A. Construct a frequency distribution and a bar graph for the cereal manufactures (mfr). Include the relative frequencies. Edit and format the graph and include appropriate labels for the horizontal and vertical axes. Describe your findings in the context of the problem (Include which manufacturer produces the most cereals and least number of cereals in the cereal market). N = Nabisco, K = Kellog’s, Q = Quaker Oats…

I would like help with this textbook problem Thank you

Only answer parts a, b, and c for now.

(part 3) If the "average" number of persons in each car on the road is 1.38 persons, which average is this?

Please Help in all parts.

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