Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337794503
Author: PECK
Publisher: Cengage
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Textbook Question
Chapter 12.1, Problem 11E
How would you answer the following question:
Next Wednesday’s meeting has been moved forward two days. What day is the meeting now that it has been rescheduled?
This question is ambiguous as “moved forward” can be interpreted in two different ways. Did you answer Monday or Friday? The authors of the paper “Even Abstract Motion Influences the Understanding of Time” (Metaphor and Symbol [2011]: 260–271) wondered if the answers Monday and Friday would be provided an equal proportion of the time. A sample of students at Stanford University were asked this question, and the responses are summarized in the following table.
The authors of the paper used a chi-squared goodness-of-fit test to test the null hypothesis H0: p1 = 0.50, p2 = 0.50, where p1 is the proportion who would respond Monday and p2 is the proportion who would respond Friday. They reported X2 = 11.00 and P-value < 0.001. What conclusion can be drawn from this test?
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Exercise 6-6 (Algo) (LO6-3)
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
Admissions
Probability
1,100
0.5
1,400
0.4
1,300
0.1
Click here for the Excel Data File
Required:
What is the expected number of admissions for the fall semester?
Compute the variance and the standard deviation of the number of admissions.
Note: Round your standard deviation to 2 decimal places.
1. Find the mean of the x-values (x-bar)
and the mean of the y-values (y-bar) and write/label each here:
2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth
columns, show the 'products' of what you're multiplying, as well as the answers.
X
y
x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar)
(x minus x-bar)^2
xy
16
20
34
4-2
5 2
3. Write the sums that represents Sxx and Sxy in the table, at the bottom of their respective columns.
4. Find the slope of the Regression line: bi
=
(simplify your answer)
5. Find the y-intercept of the Regression line, and then write the equation of the Regression line.
Show your work. Then, BOX your final answer. Express your line as "y-hat equals...
Apply STATA commands & submit the output for each question only when
indicated below
i.
Generate the log of birthweight and family income of children. Name
these new variables Ibwght & Ifaminc. Include the output of this
code.
ii. Apply the command sum with the detail option to the variable
faminc. Note: you should find the 25th percentile value, the 50th
percentile and the 75th percentile value of faminc from the output -
you will need it to answer the next question Include the output of this
code.
iii.
iv.
Use the output from part ii of this question to Generate a variable
called "high_faminc" that takes a value 1 if faminc is less than or
equal to the 25th percentile, it takes the value 2 if faminc is greater
than 25th percentile but less than or equal to the 50th percentile, it
takes the value 3 if faminc is greater than 50th percentile but less than
or equal to the 75th percentile, it takes the value 4 if faminc is greater
than the 75th percentile. Include the outcome of this code…
Chapter 12 Solutions
Introduction To Statistics And Data Analysis
Ch. 12.1 - A particular cell phone case is available in a...Ch. 12.1 - From the given information in each case below, use...Ch. 12.1 - In 2014, the University of Houston carried out a...Ch. 12.1 - The Global Automotive 2016 Color Popularity Report...Ch. 12.1 - A popular urban legend is that more babies than...Ch. 12.1 - The authors of the paper External Factors and the...Ch. 12.1 - The authors of the paper Is It Really About Me?...Ch. 12.1 - The article In Bronx, Hitting Home Runs Is A...Ch. 12.1 - The authors of the paper Racial Stereotypes in...Ch. 12.1 - The paper Sociochemosensory and Emotional...
Ch. 12.1 - How would you answer the following question: Next...Ch. 12.1 - USA Today (Hybrid Car Sales Rose 81% Last Year,...Ch. 12.1 - A certain genetic characteristic of a particular...Ch. 12.2 - A particular state university system has six...Ch. 12.2 - A random sample of 1000 registered voters in a...Ch. 12.2 - Prob. 16ECh. 12.2 - Some colleges now allow students to pay their...Ch. 12.2 - The Knight Foundation asked each person in a...Ch. 12.2 - The Knight Foundation investigated whether high...Ch. 12.2 - Each person in a representative sample of 445...Ch. 12.2 - The report Education Pays 2016 (The College...Ch. 12.2 - The report Consumer Revolving Credit and Debt Over...Ch. 12.2 - Prob. 23ECh. 12.2 - The authors of the paper Movie Character Smoking...Ch. 12.2 - The data summarized in the accompanying table are...Ch. 12.2 - The paper Credit Card Misuse, Money Attitudes, and...Ch. 12.2 - Each person in a large sample of German...Ch. 12.2 - Can people tell the difference between a female...Ch. 12.3 - The following passage is from the paper Gender...Ch. 12.3 - The article titled Nap Time...Ch. 12.3 - Using data from a national survey, the authors of...Ch. 12 - Each observation in a random sample of 100 bicycle...Ch. 12 - The color vision of birds plays a role in their...Ch. 12 - Prob. 34CRCh. 12 - Prob. 35CRCh. 12 - Prob. 36CR
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- solve this on paperarrow_forwardApply STATA commands & submit the output for each question only when indicated below i. Apply the command egen to create a variable called "wyd" which is the rowtotal function on variables bwght & faminc. ii. Apply the list command for the first 10 observations to show that the code in part i worked. Include the outcome of this code iii. Apply the egen command to create a new variable called "bwghtsum" using the sum function on variable bwght by the variable high_faminc (Note: need to apply the bysort' statement) iv. Apply the "by high_faminc" statement to find the V. descriptive statistics of bwght and bwghtsum Include the output of this code. Why is there a difference between the standard deviations of bwght and bwghtsum from part iv of this question?arrow_forwardAccording to a health information website, the distribution of adults’ diastolic blood pressure (in millimeters of mercury, mmHg) can be modeled by a normal distribution with mean 70 mmHg and standard deviation 20 mmHg. b. Above what diastolic pressure would classify someone in the highest 1% of blood pressures? Show all calculations used.arrow_forward
- Write STATA codes which will generate the outcomes in the questions & submit the output for each question only when indicated below i. ii. iii. iv. V. Write a code which will allow STATA to go to your favorite folder to access your files. Load the birthweight1.dta dataset from your favorite folder and save it under a different filename to protect data integrity. Call the new dataset babywt.dta (make sure to use the replace option). Verify that it contains 2,998 observations and 8 variables. Include the output of this code. Are there missing observations for variable(s) for the variables called bwght, faminc, cigs? How would you know? (You may use more than one code to show your answer(s)) Include the output of your code (s). Write the definitions of these variables: bwght, faminc, male, white, motheduc,cigs; which of these variables are categorical? [Hint: use the labels of the variables & the browse command] Who is this dataset about? Who can use this dataset to answer what kind of…arrow_forwardApply STATA commands & submit the output for each question only when indicated below İ. ii. iii. iv. V. Apply the command summarize on variables bwght and faminc. What is the average birthweight of babies and family income of the respondents? Include the output of this code. Apply the tab command on the variable called male. How many of the babies and what share of babies are male? Include the output of this code. Find the summary statistics (i.e. use the sum command) of the variables bwght and faminc if the babies are white. Include the output of this code. Find the summary statistics (i.e. use the sum command) of the variables bwght and faminc if the babies are male but not white. Include the output of this code. Using your answers to previous subparts of this question: What is the difference between the average birthweight of a baby who is male and a baby who is male but not white? What can you say anything about the difference in family income of the babies that are male and male…arrow_forwardA public health researcher is studying the impacts of nudge marketing techniques on shoppers vegetablesarrow_forward
- The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 0.5 1,400 0.4 1,300 0.1 Click here for the Excel Data File Required: What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. Note: Round your standard deviation to 2 decimal places.arrow_forwardA pollster randomly selected four of 10 available people. Required: How many different groups of 4 are possible? What is the probability that a person is a member of a group? Note: Round your answer to 3 decimal places.arrow_forwardWind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations. Test given. Site I Site II Site III 63 19 60 43 34 21 23 49 51 48 11 15 16 46 26 20 31 Find .arrow_forward
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