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interested in whether or not there is a benefit trying to locate their restaurants in shopping centre food courts.
Food Court Not in Food Court
Average Revenue 1609.69 1710.0
Standard deviation 190.85 150.83
Sample size 12 38
a. Conduct a test at the 5% level of significance to determine if there is a difference in average revenue between restaurants located in food courts to those that aren’t. Make whatever assumptions and carry out any checks that are necessary to conduct this test. (5)

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ize of each sample is 50, what is the standard
error of the distribution of sample proportions?
A. 0.089
B. 0.109
C. 0.065
D. 0.005

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time a bag of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of the bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (α = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag.
Summary Statistics
New Bag Old Bag
(Sample #1) (Sample #2)
Sample Mean 21.2 days 20.8 days
Sample Standard Deviation 2.5 days 2.8 days
Sample Size 45 50
What is the correct Null and Alternate Hypothesis?
Select one:
a. H_0: \mu_d>0\;\; H_1: \mu_d < 0
b. H_0: \mu_1>\mu_2 \;\;H_1:\mu_1 \leq \mu_2
c. H_0: \mu_d =0\;\; H_1: \mu_d < 0
d. H_0: \mu_1\leq\mu_2 \;\;H_1:\mu_1 > \mu_2

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on with mean 81 and standard deviation 22. I have been asked to find the probability that X (bar) is greater than 86 and to find the 85th percentile of this data set

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l when their debut single, “All the Single Men!”
was re-recorded as “All the Single Ladies!” by an all women’s group and it
went triple platinum. They consoled themselves by finding the critical values
(“z” or “t” scores) for the following.
a. Alpha in the left tail is 2.5%, sample size is 50 and sigma is known.
b. df is 18, alpha in the left tail is 10% and x-bar is 47.9 cars.
c. the sample mean is $23.7, sigma is $12.5 and C.L. is 80%.
d. alpha is 1%, sample variance is 2.8 and the sample size is 24

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of the population proportion. How large a sample size do they need? (No prior information is known about the sample proportion.)

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to look for significant differences among them. You would calculate 95% confidence intervals (CIs) for each bean type and see if they overlap each other or not. Non-overlapping 95% CIs would indicate differences in the proportion of eggs laid across bean types. You got a point estimate of 0.20 (p-hat) for the proportion of eggs laid on kidney bean, and had a total sample size of 900. What is the lower bounds of the 95% CI?

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ple mean is found to be x bar =61 and the sample standard deviation is found to be s = 16. construct a 90% confidence interval about the pop mean. what is the upper and lower bounds?

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d that 70% of adults go to the doctor for their yearly checkup. If you want to test the validity of this claim, how many adults must be surveyed in order to be 90% confident that the sample percentage is in error by no more than 5 percentage points?

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
Morning
Evening
Multiple Choice
Short Answer
Multiple Choice
Short Answer
66
74
70
45
64
55
80
55
72
77
78
55
70
57
84
60
61
58
64
70
67
69
84
60
70
63
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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list uses dynamic memory allocation to grow as the size of the data set grows. Unlike linked lists, a binary search tree is very fast to insert, delete and search.
Project Description
When an author produce an index for his or her book, the first step in this process is to decide which words should go into the index; the second is to produce a list of the pages where each word occurs. Instead of trying to choose words out of our heads, we decided to let the computer produce a list of all the unique words used in the manuscript and their frequency of occurrence. We could then go over the list and choose which words to put into the index.
The main object in this problem is a "word" with associated frequency. The tentative definition of "word" here is a string of alphanumeric characters between markers where markers are white space and all punctuation marks; anything non-alphanumeric stops the reading. If we skip all un-allowed characters before getting the string, we should have exactly what we want. Ignoring words of fewer than three letters will remove from consideration such as "a", "is", "to", "do", and "by" that do not belong in an index.
In this project, you are asked to write a program to read any text file and then list all the "words" in alphabetic order with their frequency together appeared in the article. The "word" is defined above and has at least three letters.
Note:
Your result should be printed to an output file named YourUserID.txt.
You need to create a Binary Search Tree (BST) to store all the word object by writing an insertion or increment function. Finally, a proper traversal print function of the BST should be able to output the required results.
The BST class in the text can not be used directly to solve this problem. It is also NOT a good idea to modify the BST class to solve this problem. Instead, the following codes are recommended to start your program.
//Data stored in the node type
struct WordCount
{
string word;
int count;
};
//Node type:
struct TreeNode
{
WordCount info;
TreeNode * left;
TreeNode * right;
};
// Two function's prototype
// Increments the frequency count if the string is in the tree
// or inserts the string if it is not there.
void Insert(TreeNode*&, string);
// Prints the words in the tree and their frequency counts.
void PrintTree(TreeNode* , ofstream&);
//Start your main function and the definitions of above two functions.
Sample Run
Please type the text file name: Lincoln.txt
Please give the output text file name: mus11.txt
You are done! You can open the file "mus11.txt" to check.
Press any key to continue
------------------------------------------------------------------------------------------------------------------------------------------------
lincoln.txt---
The Gettysburg Address
Gettysburg, Pennsylvania
November 19, 1863
Four score and seven years ago our fathers brought forth on this continent, a new nation, conceived in
Liberty, and dedicated to the proposition that all men are created equal.
Now we are engaged in a great civil war, testing whether that nation, or any nation so conceived and
so dedicated, can long endure. We are met on a great battle-field of that war. We have come to dedicate
a portion of that field, as a final resting place for those who here gave their lives that that nation
might live. It is altogether fitting and proper that we should do this.
But, in a larger sense, we can not dedicate -- we can not consecrate -- we can not hallow -- this ground.
The brave men, living and dead, who struggled here, have consecrated it, far above our poor power to add
or detract. The world will little note, nor long remember what we say here, but it can never forget what
they did here. It is for us the living, rather, to be dedicated here to the unfinished work which they
who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great
task remaining before us -- that from these honored dead we take increased devotion to that cause for
which they gave the last full measure of devotion -- that we here highly resolve that these dead shall not
have died in vain -- that this nation, under God, shall have a new birth of freedom -- and that government
of the people, by the people, for the people, shall not perish from the earth.
------------------------------------------------------------------------------------------------------------------------------------------------
mus11.txt
1863 1
Address 1
But 1
Four 1
Gettysburg 2
God 1
Liberty 1
November 1
Now 1
Pennsylvania 1
The 3
above 1
add 1
advanced 1
ago 1
all 1
altogether 1
and 6
any 1
are 3
battle-field 1
before 1
birth 1
brave 1
brought 1
but 1
can 5
cause 1
civil 1
come 1
conceived 2
consecrate 1
consecrated 1
continent 1
created 1
dead 3
dedicate 2
dedicated 4
detract 1
devotion 2
did 1
died 1
earth 1
endure 1
engaged 1
equal 1
far 2
fathers 1
field 1
final 1
fitting 1
for 5
forget 1
forth 1
fought 1
freedom 1
from 2
full 1
gave 2
government 1
great 3
ground 1
hallow 1
have 5
here 8
highly 1
honored 1
increased 1
larger 1
last 1
little 1
live 1
lives 1
living 2
long 2
measure 1
men 2
met 1
might 1
nation 5
never 1
new 2
nobly 1
nor 1
not 5
note 1
our 2
people 3
perish 1
place 1
poor 1
portion 1
power 1
proper 1
proposition 1
rather 2
remaining 1
remember 1
resolve 1
resting 1
say 1
score 1
sense 1
seven 1
shall 3
should 1
struggled 1
take 1
task 1
testing 1
that 13
the 9
their 1
these 2
they 3
this 4
those 1
thus 1
under 1
unfinished 1
vain 1
war 2
what 2
whether 1
which 2
who 3
will 1
work 1
world 1
years 1

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics