Take-Home Midterm Test (Sections 1.1 - 6.5)

STAT 200 6370 Introduction to Statistics (2195)

Instructor:Dr. Juan Prieto-Valdes

Due: Jun 23, 2019 11:59 PM

Instructions: This test must be completed independently. You are allowed to consult with your notes or the textbook as needed to aid you in solving these problems. Seeking help from others in or out of the class is not allowed.

Suggestions about how to approach this Test:

1. Finish all homework assignments of the sections and get good understanding of the contents from the last week.
2. Print out a copy of the test and solve any problems that you can. Review the eBook sections associated with any problems you could not solve.
3. Complete the remaining problems to the best of your ability. Even if you cannot come to a final solution, you should show what you do know so that you have the opportunity for partial credit.
4. Review your work. Check for errors. Make sure you have included units where appropriate, and explanations when required by the instructions. Unless the problem explicitly states otherwise, work must be shown for every answer. Any answer, even if "correct" but lacking work, will NOT receive full credit and may receive NO credit!
5. When you are satisfied, type in your solutions, import chart and Tables. Preferably, save your work in PDF to avoid copying errors in content. The Quality of your work/presentation worth 10 % points, questions 90%.
6. Submit your work in the associated LEO assignment.

Please submit your test before or on Jun 23, 2019 11:59 PM. No late test will be accepted. No make-up quiz will be arranged. A solution key for Midterm Test will be posted one day after the deadline.

Take-Home Midterm Test (Sections 1.1 - 6.5)

STAT 200 6370 Introduction to Statistics (2195)

Instructor:Dr. Juan Prieto-Valdes

Due: Jun 23, 2019 11:59 PM

The Quality of your work/presentation worth 10 % points, questions 90%.

Please sign (or type) your name below the following honor pledge:

I have completed this test by myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz.

Name ______Matt Hein______________________Date 23 June 2019_____

1.In Connecticut households use gas, fuel oil, or electricity as a heating source. Next Table shows the percentage of households that use one of these as their principle heating sources ("Electricity usage," 2013), ("Fuel oil usage," 2013), ("Gas usage," 2013). Create a bar chart and pie chart of this data. State any findings you see from the graphs.

The fuel oil used is the most of them.Fuel oil and Gas combined make up over 82% of what everyone in the state of Connecticut is using for a heating source.With technology today, these numbers could go the other direction and Electricity would be much higher.

2.The density of people per square kilometer for African countries is in next table ("Density of people," 2013). Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 8 classes.

Data of Density of People per Square Kilometer

3.The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 24 randomly selected countries for the year 2011 are in the next table.Create a scatter plot of the data and state if there appears to be a relationship between life expectancy and the number of births per woman.

Data of Life Expectancy versus Fertility Rate

4.Print-O-Matic printing company spends specific amounts on fixed costsevery month. The costs of those fixed costs are in the next table.

Fixed Costs for Print-O-Matic Printing Company

a)Find the mean and median.

Mean: 482+2208+2471+2656+2117+2600/6=1637

Median: 2117+2208/2=2163

b)Find the range.

Range: 2656-482=2174

c)Find the variance and standard deviation.

5.An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls.

a.) Find the probability of getting a red ball.

b.) Find the probability of getting a blue ball.

c.) Find the odds for getting a red ball.

d.) Find the odds for getting a blue ball.

6.Suppose a random variable, x, arises from a binomial experiment. Supposen = 6, and p = 0.13.

a.) Write the probability distribution.

b.) Draw a histogram.

c.) Describe the shape of the histogram.

d.) Find the mean.

e.) Find the variance.

f.) Find the standard deviation.

7.Find each of the probabilities, where z is a z-score from the standard normal distribution with mean of = 0 and standard deviation ! = 1. Make sure you draw a picture for each problem.

a.) P(z < 2.36)

b.) P(z > 0.67)

c.) P(0 < z < 2.11)

d.) P(!2.78 < z <1.97)

8.The size of fish is very important to commercial fishing. A study conducted in 2012 collected the lengths of Atlantic cod caught in nets in Karlskrona (Ovegard, Berndt & Lunneryd, 2012). Data based on information from the study is in the next. Determine if the data is from a population that is normally distributed.

Atlantic Cod Lengths

9.The mean starting salary for nurses is $67,694 nationally ("Staff nurse -," 2013). The standard deviation is approximately $10,333. The starting salary is not normally distributed but it is mound shaped. A sample of 42 starting salaries for nurses is taken.

a.) State the random variable.

b.) What is the mean of the sample mean?

c.) What is the standard deviation of the sample mean?

d.) What is the sampling distribution of the sample mean? Why?

e.) Find the probability that the sample mean is more than $75,000.

f.) Find the probability that the sample mean is less than $60,000.

g.) If you did find a sample mean of more than $75,000 would you find that unusual. What could you conclude?