In a recent issue of the IEEE Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference.
A. Organize the data in a chart. (Round your answers to four decimal places.)
| X | Frequency | Relative Frequency | Cumulative Relative Frequency |
|---|---|---|---|
| 2 | |||
| 3 | |||
| 4 | |||
| 5 | |||
| 6 | |||
| 7 | |||
| 8 | |||
| 9 |
C. Find the 85th percentile.
_____ days
D. Find the 10th percentile.
_____ days
E. Construct a box plot of the data.
F. The middle 50% of the conferences last from ____ days to ____ days.
G. Calculate the sample mean of days of engineering conferences.
(Round your answer to two decimal places.)
_____ days
H. Calculate the sample standard deviation of days of
engineering conferences. (Round your answer to two decimal
places.)
_____ days
I. Find the mode.
_____ days
J. If you were planning an engineering conference, which would you choose as the length of the conference: mean, median, or mode? Choose the correct answer and explain why you made that choice.
1. I would choose the mode because almost half of the conferences lasted 3 days.
2. I would choose the median because half of the conferences lasted fewer than 4 days and half of them lasted longer than 4 days.
3. I would choose the median because all the conferences lasted from 2 to 9 days, so 4 days would represent a value close to the center of the data.
4. I would choose the mean because it represents the average length of a conference.
K. Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences. (Choose the two that apply.
1. A conference that lasts 9 days is not effective.
2. The mean, median, and mode are within this range.
3. Engineering is boring, so people do not want to spend many days at a conference.
4. 50% of the data values range from 3 to 5 days.
In: Statistics and Probability
Use the accompanying data set to complete the following actions.
a. Find the quartiles
b. Find the Interquartile Range
c. Identify the outliers
40 50 36 44 41 37 39 48 44 37 34 54 43 34 15 51 38 51 30 30
In order:
15 30 30 34 34 36 37 38 39 40 41 43 44 44 47 48 50 51 51 54
a. Find the quartiles.
The first quartile, Q1, is
The second quartile, Q2, is
The third quartile, Q3, is
b. Find the Interquartile range.
The interquartile range (IQR) is.
c. Identify the Outliers
In: Statistics and Probability
Marla is running clockwise around a circular track. She runs at a constant speed of 2 meters per second. She takes 46 seconds to complete one lap of the track. From her starting point, it takes her 12 seconds to reach the northernmost point of the track. Impose a coordinate system with units in meters, the center of the track at the origin, and the northernmost point on the positive y-axis. (Round your answers to two decimal places.)
(a) Give Marla's coordinates at her starting point. (
b) Give Marla's coordinates when she has been running for 10 seconds.
(c) Give Marla's coordinates when she has been running for 909.3 seconds.
In: Math
Four factors, each with two levels were studied in a study of the performance of a process: time (A), humidity (B), pressure (C) and the temperature (D). One replicate was run a design 2⁴ and response is presented in the following table.
For this experiment use standard levels for each factor (1,2).
Use MINITAB to set up and analyze the experiment up to 2-level interactions. (i.e. AB, BC, etc…) Note: the response is in not randomized runs. Explain the results!
|
Response |
|
5000 |
|
2268 |
|
1183 |
|
1792 |
|
2023 |
|
1575 |
|
2800 |
|
1575 |
|
7000 |
|
4375 |
|
1183 |
|
4032 |
|
2527 |
|
4500 |
|
2023 |
|
3703 |
In: Statistics and Probability
Use the word list to answer the following questions.
a. How many energy levels are occupied for arsenic atoms? Answer: four, one, two, three, five, six, seven, eight
b. How many energy levels are occupied for phosphorous atoms? Answer: three, one, two, four, five, six, seven eight
c. How many energy levels are occupied for antimony atoms? Answerfiveonetwofourthreesixseveneight
d. How many valence electrons does calcium have? Answer: two, one, three, four, five, six, seven, eight
e. How many valence electrons does chlorine have? Answer: seven, one, two, four, five, six, three, eight
f. How many valence electrons does hydrogen have?
g. Name an element with chemical properties similar to oxygen.
In: Chemistry
Determine the volume, in ft3, of 2 lb of a two-phase liquid–vapor mixture of Refrigerant 134A at 44°F with a quality of 40%.
In: Physics
Magic the Gathering is a popular card game. Cards can be land cards, or other cards. We consider a game with two
players. Each player has a deck of 40 cards. Each player shuffles their deck, then deals seven cards, called their hand.
(a) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will each player
have four lands in their hand?
(b) Assume that player one has 10 land cards in their deck and player two has 20.With what probability will player one have
two lands and player two have three lands in hand?
(c) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will player two
have more lands in hand than player one?
Please answer all questions and show working
In: Math
Researchers at the Mayo Clinic found a significant association between hospital sound levels and patient healing (louder hospital sound level is associated with slower healing). Based on these findings, a new hospital installed a new flooring that is supposed to reduce the noise level in hospital corridors. Using α = 0.01, did the variance of noise level decrease? (use both methods) Problem 4: Mayors of nine communities started a watch program to reduce vandalism. The number of vandalism incidents before and after starting the watch program was collected for each community. Does the data collected show that the watch program was effective? (use both methods)
| Sound Level in Decibels of Two Flooring Types (n = 5 mesurements) | |||
| New Flooring | Old Flooring | ||
| 42 | 48 | ||
| 41 | 51 | ||
| 40 | 44 | ||
| 37 | 48 | ||
| 44 | 52 | ||
Mayors of nine communities started a watch program to reduce vandalism. The number of vandalism incidents before and after starting the watch program was collected for each community. Does the data collected show that the watch program was effective? (use both methods)
| Number of Vandalisms Before and After Watch Program (n = 9) | |||||
| City | Before | After | |||
| 1 | 12 | 8 | |||
| 2 | 6 | 3 | |||
| 3 | 8 | 7 | |||
| 4 | 1 | 0 | |||
| 5 | 2 | 4 | |||
| 6 | 4 | 0 | |||
| 7 | 4 | 4 | |||
| 8 | 3 | 4 | |||
| 9 | 3 | 0 | |||
using excel
In: Statistics and Probability
Create a base class that describes a baseball player. A baseball player’s attributes are:
A pitcher has all the attributes of a baseball player but also has two other attributes:
All pitchers have an earned run average which is calculated as : (Earned runs / innings pitched ) x 9
A batter has all of the attributes of a baseball player plus two other attributes:
The batting average is then calculated as: Hits / at bats
Step 1- Create Player class, test all methods and make sure all is working
Step2- A Pitcher IS A Player. Create Pitcher class, test all methods and make sure all is working
Step 3- A Batter IS A Player. Create Batter class, test all methods and make sure all is working
The output should look like :
MENU 1 – Pitcher / 2 – Batter / 3 - Quit Select player type: 2 Enter batter name: Hunter Pence Enter player number: 08 Enter at bats: 38 Enter hits: 11 Batter Hunter Pence, Batting Average 0.289 //use toString
There should be a total of 4 java files.
In: Computer Science
1. Parkruns are free 5km timed runs usually run on weekends in different cities, towns and suburbs around the world. It is suspected that they are competitive and hence faster than 5km family fun runs which require payment for registration. Parkrun finishers do not get medals whereas all family fun run finishers get medals. The summary statistics below are from two random samples of 10 park runners and 10 5km family fun runners in Bellville. The races were run on the same route and on 2 separate days but with identical weather conditions. The summary statistics are for the recorded finishing times (in minutes) of the runners. park runners family fun runners Sample Mean: 20.58 25.67 Sample standard deviation : 3.5 5.7 (a) Is there evidence that the mean finishing time differs between the park runners and family fun runners? Perform an appropriate statistical test. (b) Construct a 95% confidence interval for the difference between the population means of the two groups. Compare your results to your conclusions in (a). (c) What assumption(s) are necessary for performing the hypothesis tests and constructing the confidence interval above? Hint: Use a 5% significance level for the F-test but report a p-value for the t-test
In: Math