Cycling Race:

Match Sprint (two racers; first one across the finish line wins)

Team Sprint (Three-person team... must cover the 1000m as fast as possible)

No one is making maximum power as they cross the finish line (in either event)... but for one of these examples, maximum force production is relatively more important? Which event and why?

What about peak power? Where is peak power achieved by the racers in the Match Sprint? What about for the people in the Team Sprint? You should think in terms of the length of the event (all are 1000m in length) ... where/what distance from the beginning or how far from the finish....?

Consider the following list of ages.

72, 64, 82, 81, 84, 51, 81, 64, 75, 53, 98, 78, 71, 35, 99, 88, 82, 52, 74, 86, 88, 74, 94, 80, 52, 76, 70, 74, 64, 83, 95

(a)

Create a five-number summary for these ages.

Lowest Value

Lowest quartile

Median

Highest quartile

Highest value

(b)

Create a boxplot using the five-number summary from part (a).

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 36, the left edge of the box is approximately 63, the line inside the box is approximately 75, the right edge of the box is approximately 85, and the right whisker is approximately 98.

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 51, the left edge of the box is approximately 67, the line inside the box is approximately 76, the right edge of the box is approximately 83.5, and the right whisker is approximately 99. There is one outlier located at 35.

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 35, the left edge of the box is approximately 64, the line inside the box is approximately 76, the right edge of the box is approximately 84, and the right whisker is approximately 99.

The box-and-whisker plot has a horizontal axis numbered from 40 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 49.5, the left edge of the box is approximately 70, the line inside the box is approximately 78, the right edge of the box is approximately 86, and the right whisker is approximately 99.

5. A test engineer conducted an experiment to estimate time to failure of a system component known to decay with time. Because activation of the component depended on its interaction with other components in the system, she could not control when the component was activated, but she could measure the time of its activation. She tracked the function of that component in 14 randomly chosen prototypes of the system, recording activation time (Ta) for the component, and the time the component decayed to the point of failure (Tf). Results are delineated below (each data point in the recorded data is the time recorded in seconds from when the experiment began)

Chart : Prototype ID 3 8 14 17 21 22 25 32 34 40 46 43 48 49

Ta (sec) 0 12 6 17 32 14 35 22 10 18 29 23 4 15

Tf (sec) 130 115 158 180 250 292 117 217 231 172 123 182 218 200   

Write a MATLAB script that obtain statistics about the time it takes the component to decay to the point of failure. Your script can hardcode the data in Table 2 or ask the user to input the data. Include in your display the number of prototypes tested, a minimum time (the lowest calculated time), a maximum time (the highest calculated time), a standard estimate (the mean of calculated times across all prototypes), and a conservative estimate (the mean of calculated times across prototypes with the highest and lowest values removed). Your display should have the format as follows (with calculated values replacing ): Experimental results --------- Number of prototypes: Minimum time to failure: Maximum time to failure: Mean time to failure (standard): Mean time to failure (conservative):

Question 1 (20pts):

Create a dictionary of the form {“Jordan”: “Basketball”, “Federer”: “Tennis”, “Ronaldo”: “Football”} and perform the following actions

• Print all the keys in the dictionary
• Print all the values in the dictionary
• Iterate through the dictionary and print the value only if the key is “Federer”
• Iterate through the dictionary and print the key only if the value is “Football”

Question 2 (15pts):

List1 = [3, 4, 5, 20, 5]

List2 = [4, 9, 6, 2, 10].

Using list comprehensions, print the output if you multiply the i-th element of each list

Question 3 (15pts):¶

Dic1 = {"John":10, "Joe":15}

• Check whether “John” is one of the keys
• Remove the key “Joe” along with its associated value
• Add another key and value pair - “Jean”: 40

Question 4 (15pts):

• Write a user defined function to find the highest of the three numbers: 30, 10 and 20. The highest number should be printed. Note: The function has to be user defined.

• With a given integral number n, write a program to generate a dictionary that contains key value pairs such as i: 2^i, and i takes values between 1 and n (both included). Then print the dictionary.

Suppose the following input is supplied to the program:

4

Then, the output should be:

{1: 2, 2: 4, 3: 8, 4: 16}

Question 5 (20pts):

• Using list comprehensions, print all the values between 1 and 10 that are divisible by 2. The output should be [2, 4, 6, 8].

• By using list comprehension, please write a program to print the list after removing the value 24 in [12,24,35,24,88,120,155].

Question 6 (15pts):

Remove the last value in [12,24,35,24,88,120,155] consecutively and print the removed value in each removal.

Based on elasticity measures, which of the following is the best deterrent to crime? Select one: a. Increasing the probability of punishment by increasing the number of police b. Increasing low-income wages through increased education c. Increasing the severity of punishment by increasing the length of prison terms d. Increasing the use of public shaming punishments

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selected. Find the probability that the proportion of students who graduated is greater than 0.750 . Write only a number as your answer. Round to 4 decimal places (for example 0.1048). Do not write as a percentage.

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance of 145,924

.

If he is correct, what is the probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles? Round your answer to four decimal places.

The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probability that the sample mean would differ from the population mean by less than 2.3 WPM if 88 speed typists are randomly selected? Round your answer to four decimal places.

The mean number of words per minute (WPM) typed by a speed typist is 123 with a standard deviation of 14 WPM. What is the probability that the sample mean would differ from the population mean by more than 1 WPM if 52 speed typists are randomly selected? Round your answer to four decimal places.

The average number of calories in a 1.5 ounce chocolate bar is 225. Suppose that the distribution of calories is *approximately* normal with a population standard deviation of 10. Find the probability that the randomly selected chocolate bar will have

(a) Less than 200 calories

(b) More than 200 calories

(c) Between 200 and 220 calories