Come up with a quantitative variable (not mentioned in the text). Identify the appropriate scale of measurement. Identify whether this variable is discrete or continuous (or at least theoretically continuous). Identify all of the frequency distribution graphs that would be appropriate for this variable. Come up with a qualitative variable (not mentioned in the text). Identify the appropriate scale of measurement. Identify whether this variable is discrete or continuous (or at least theoretically continuous). Identify all of the frequency distribution graphs that would be appropriate for this variable. Come up with one example of when it would be better to use a quantitative variable. Come up with one example of when it would be better to use a qualitative variable.

1. To investigate whether giving chest-compression-only (CC) rather than standard cardiopulmonary resuscitation (CPR) to a heart attack patient will improve the victim's chance of surviving, researchers conducted 2500 trials. In each trial, the EMT present randomly assigned either CC or CPR at the site where a person had just experienced a heart attack. They found that of the 1,600 cases where CC had been given, 200 people had survived, whereas of the 900 cases where standard CPR had been given, the number was 180.
2. Identify the observational units. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived
3. Identify the explanatory variable. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived

1. Identify the response variable. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived

2. In this context, which of the following is an (are) appropriate statistic value(s)? Choose all that apply.
   1. 200/1,600−180/900= -0.075
   2. 200/2500−180/2500= 0.008
   3. 200/1400−180/720= -0.107
   4. (200/1,600)/ (180/900) = 0.626

3. Which of the following is the appropriate null hypothesis? Choose one.
   1. Giving CC instructions is just as effective as giving CPR instructions at saving lives of heart attack victims.
   2. Giving CC instructions is more effective than giving CPR instructions at saving lives of heart attack victims.
   3. Giving CC instructions is less effective than giving CPR instructions at saving lives of heart attack victims.

4. Which of the following is the appropriate alternative hypothesis? Choose one.
   1. Giving CC instructions is just as effective as giving CPR instructions at saving lives of heart attack victims.
   2. Giving CC instructions is more effective than giving CPR instructions at saving lives of heart attack victims.
   3. Giving CC instructions is less effective than giving CPR instructions at saving lives of heart attack victims.
5. Use an appropriate randomization-based applet to find a p-value. Report and based on this p-value, what is the conclusion that we can get?
6. Use the 2SD method to find a 95% confidence interval for the parameter of interest. Report this interval and interpret the interval in the context of the study.

• Give one example (not listed in the textbook) for each scale of measurement (nominal, ordinal, interval, ratio).
• Come up with a relationship that you think exists between 2 variables. How would you study that using a correlation study?
• How would you study the relationship from b. using an experiment? Make sure to identify the independent and dependent variables in your study.

Suppose a test procedure about the population mean (u) is performed, when the population is normal and the sample size n is LARGE, then if the alternative hypothesis is Ha : u < u0, the rejection region for a level (alpha) test is .______________

Let's assume the first scatter plot shown is showing the amount of animals a person has for x and for y it is showing the amount of times per month they need to vacuum. Would this data show a positive correlation between animals owned and number of times vacuuming per month? For the second plot lets assume x is time of day and y is number of traffic accidents for that time of day. Would this plot show a negative correlation for traffic accidents relating to time of day? Would it be safe to say that both of these scenarios appear linear?

According to an​ article, 47​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly selected​ adults, find the probability that the​ number, X, who have experienced a breakup at least once during the last 10 years is

a. exactly​ five; at most​ five; at least five.

b. at least​ one; at most one.

c. between five and seven​, inclusive.

d. Determine the probability distribution of the random variable X.

The data set contains the weight (grams) of 10 mice before and after the treatment. Weight of the mice before treatment before:

(200.1, 190.9, 192.7, 213, 241.4, 196.9, 172.2, 185.5, 205.2, 193.7)

Weight of the mice after treatment after:

(392.9, 393.2, 345.1, 393, 434, 427.9, 422, 383.9, 392.3, 352.2)

Is there enough evidence in the data that the treatment increases the weight population average weight by at least 150 grams?

Please answer with R programming code. Thanks!

Think of a problem dealing with two variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? You should describe the data collection process that you are proposing but you do not need to collect any data.

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.

Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use  = .05. Use Table 12.4.

Compute the value of the X2 (Chi2) test statistic (to 2 decimals).????

b) Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal).

A study was conducted that measured the total brain volume (TBV) (in mm) of patients that had schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009," 2013). Is there enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal? Test at the 10% level.

Table #9.3.5: Total Brain Volume (in mm) of Normal Patients

Table #9.3.6: Total Brain Volume (in mm) of Schizophrenia Patients

1. Find the critical t-value(s) for a one sample t-test given: α = 0.01 n = 12 one-tailed test (lower-tailed critical region)

a. 2.130 and -2.130

b. 3.103 and -3.103

c.-2.718

d. -2.567

e. 2.998

2.

Find the critical t-value(s) for a one sample t-testgiven:

α = 0.05

df = 26

one-tailed test (upper-tailed critical region)

a. 2.042 and -2.042

b.-1.812

c. 1.706

d. 3.241

e. -1.339

3. What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test?

α = 0.05

p value = 0.022

a. reject the null hypothesis

b. fail to reject the null hypothesis

4. What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test?

α = 0.01

p value = 0.524

a. reject the null hypothesis

b. fail to reject the null hypothesis

5. What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test?

α = 0.01

p value = 0.005

a. reject the null hypothesis

b. fail to reject the null hypothesis

6. What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test?

α = 0.05

p value = 0.232

a. reject the null hypothesis

b. fail to reject the null hypothesis

(EXCEL) DATA 1 :

THE QUESTIONS :

Q1\ The value of the test statisic ?

Q2\ The value of the p value of the test ?

Q3\ What is the H0 rejection region for the testing at the 1% level of significance ? t > ____

Q4/ interpret the result based on your Excel Outputs .

_________________________________________________________________

(EXCEL) DATA 2:

Group 1 Group 2 Group 3 Group 4

44 54 55 44

73 65 78 42

71 79 86 74

60 69 80 42

62 60 50 38

THE QUESTIONS :

Q1\ The value of the test statisic ?

Q2\ The value of the p value of the test ?

Q3\ What is the H0 rejection region for the testing at the 5% level of significance ? F >= ____

Q4/ interpret the result based on your Excel Outputs .

The number of peanut M&Ms in a 2 ounce package is normally distributed with a mean of 28 and standard deviation 2; The number of Skittles in a 2 ounce package is normally distributed with a mean of 60 and standard deviation 4.

Questions 1-3: Suppose that I purchase two 2-ounce packages of peanut M&Ms and one 2-ounce package of Skittles.

1. Let X= the total number of pieces of candy in all three bags combined. What is the distribution of X?

2. What is the probability that the total number of pieces of candy in all three bags combined is less than 110?

3. What is the probability that the total number of M&Ms (in both bags combined) is greater than the number of Skittles?

Assessment 3 – Graphical LP                                                                         

You are given the following linear programming problem.

            Maximize Z =.            $46X1 + $69X2

                        S.T.                  4X1 + 6X2      < 84

                                                2X1 + 1 X2     > 20

                                                4X1                 < 60

Using graphical procedure, solve the problem. (Graph the constraints and identify the region of feasible solutions). What are the values of X1, X2 ,S1, S2, S3, and the value of the objective function (Z) at optimum? If there are multiple optimum solutions, please give two of the optimum solutions.

Optimum solution 1:

X1 =                X2 =                S1 =                 S2 =                 S3 =                 Z =                 

Optimum solution 2: (if there is a second optimum solution)

X1 =                X2 =                S1 =                 S2 =                 S3 =                 Z =                 

Find the mean, median, and mode of the following data: 0.38, 0.52, 0.55, 0.32, 0.37, 0.38, 0.38, 0.35, 0.29, 0.38, 0.28, 0.39, 0.40, 0.38, 0.38, 0.38 Mean: Median: Mode:

Given the following data and Standard Deviation, calculate the %CV: 26, 52, 37, 22, 24, 45, 58, 28, 39, 60, 25, 47, 23, 56, 28 SD = 14.0