Instructions-On a separate sheet of paper (or sheets) solve the following proble
ID: 3299092 • Letter: I
Question
Instructions-On a separate sheet of paper (or sheets) solve the following problems. Be sure to write neatly and show all your work. This assignment has 100 points available. Section 1.2 1. [13 points] A small survey was conducted in which each respondent was asked how many times, in the previous two-weck period, they had eaten at a fast food restaurant. The data appear below (a) Construct a frequency histogram. The histogram should be neat, accurate, and well labeled. [7 points] (b) How would you describe the shape the distribution? [2 points] (c) Find the proportion of the respondents described by each of the following. [2 points each] (i) Ate at a fast food restaurant at least four times (ii) Ate at a fast food restaurant fewer than two times 2. [13 points] The blood glucose levels (in milligrams per deciliter) for 25 patients at a medical facility appear below 63 65 66 68 69 71 73 74 75 75 76 76 77 79 79 81 8 81 83 84 86 87 90 91 95 (a) Construct a relative frequency histogram. Use nine class intervals starting with 60 Glucose 64. (Note -this is the same as using the class boundaries of 60, 64, 68, 72, 76, 80, 84, 88,92, and 96.) The histogram should be neat, accurate, and well-labeled. [7 points (b) How would you describe the shape of the distribution? [2 points] (c) What proportion of the patients had a blood glucose level described by each of the following? [2 points cach (i) At most 71 (ii) Between 72 and 91 (inclusive of the endpoints) Section 1.3 3. [10 points] Refer to Problem I (a) Calculate the sample mean. [4 points] (b) Calculate the sample median. [4 points] (c ) How do the answers to (a) and (b) compare?[1 point] (ii) Why should we have been able to anticipate this? [1 pointExplanation / Answer
3 The data in ascending order will be:
0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 7, 9
a) Sample mean = (Sum of observations)/(Number of observations) = 64 / 27 = 2.56
b) Number of terms = 27
So,
Sample median = (27 + 1)/2 th term = 14th term = 2
c) i) The two answers are very close to each other.
ii) We have been able to anticipate this because most of the observations consists of 1 and 2 only.