23 Jun ATH 1530 CAPSTONE TECHNOLOGY PROJECT SUMMER 2015Problem 1: Id
MATH 1530 CAPSTONE TECHNOLOGY PROJECT SUMMER 2015Problem 1: Identify Variable Type.One of these is a variable that is categorical and one is quantitative.Consider the different graphs that correspond to each variable type. Use Minitab to create two different graphs appropriate for each variables type. EXTRA CREDIT if you can resize to fit all of the graphs on one page.
NUCLEAR SAFETY TALK POLITICS
Problem 2: Sampling. In the survey data, the variable “AGE”is the current age reported by each student.
a. Type the first 10 observations from the column representing the variable AGEinto the table below,and use this as your sample data for part (b). Then calculate the mean age of these first 10 observations and report the value below.
N 1 2 3 4 5 6 7 8 9 10
AGE (yrs)
b. The mean age of the first 10 students is years. (Type the value into the space provided.)
c. Identify the type of sampling method you have just used:
d. Next, select a random sample of size n = 10 (Go to Calc> Random Data > Sample from Columns). Type the number 10 in the “Number of rows to Sample” slot. Enter the variable “ID” and “AGE” into the “From columns” slot. Enter C17-C18 into the “Store samples in” slot. Record the data for your sample in the table below.
N 1 2 3 4 5 6 7 8 9 10
ID
AGE (yrs)
e. Calculate and report the mean age for your random sample of 10 students. The sample mean age is
years.
f. Identify the type of sampling method you have just used:
g. REPEAT the random sample selection process three more times. Calculate and report the mean age for each random sample of 10 students.
N 1 2 3 4 5 6 7 8 9 10
ID
AGE (yrs)
ii) The sample mean age is years.
N 1 2 3 4 5 6 7 8 9 10
ID
AGE (yrs)
iii) The sample mean age is years.
N 1 2 3 4 5 6 7 8 9 10
ID
AGE (yrs)
iv) The sample mean age is years.
h. Suppose we think ofall the students who responded to the survey as a population for the purposes of this problem. In that case, the population mean age is 21.293. Discuss (two or more complete sentences) the differences and similarities between 21.293 and the answers you got in (b), (e), and ii), iii), and iv).
Problem 3(h):FLIP A COIN. Circle the outcome heads / tails. If you got ‘heads, then do this problem.(Omit this page/problem if you got ‘tails.)
Question 10 of the SPRING 2015 survey asked students, “How much money did you spend on your last clothing purchase? (in US dollars)”
a. Create an appropriate graph to display the distribution of the variable called CLOTHING PURCASE and insert it here.
b. Which of the following best describes the shape of the distribution? Underline your answer.
Skewed left Symmetric Skewed right
c. Using Minitab, calculate the basic statistics for the data collected on CLOTHING PURCASE. Copy and paste all of the Minitab output here.
d. Choose statistics that are appropriate for the shape of the distribution to describe the center and spread of CLOTHING PURCASE.
Which statistic will you use to describe the center of the distribution? (Type name of the statistic here.)
e. What is the value of that statistic? (Type value here.)
f. Which statistic(s) will you use to describe the spread of the distribution?
g. What is (are) the value(s) of that (those) statistic(s)?
h. Look up the IQR rule on p. 50 in our textbook. Are there any outliers in this distribution? If so, what are their values? How many are there? Justify your answer.
Problem 3(t):YOU JUST FLIPPED A COIN. If you got ‘tails, then do this problem. (Omit this page/problem if you got ‘heads.)
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