Statistical Analysis

Instructions: All answers must be written or typed up only in the space provided. Calculations must be
shown for every numerical problem in order to get full credit for it. Partial credit will be given where

  1. Please refer to the population distribution in the graph below.
    a. Is the above distribution left-skewed, right-skewed or symmetric? (2 points)
    b. Without performing any calculations, state with justification which value is greater in the
    distribution above: the mean or the median? (2 points)
    c. Would it be appropriate to apply the Empirical Rule to this distribution? Why or why not?(2
    d. Given that the mean of this distribution is 39 and standard deviation is 5, what percent of
    data values lie between 28 and 50? (4 points)
  2. A random sample of people from three age groups were asked to describe their general
    stress level. The three age groups were Young Adult (18-35 years), Middle-Aged Adult
    (36-55 years) and Older Adult (>55 years). The stress levels were High, Medium, Low and
    None. These responses were classified into the following table. Use the data from this table
    to answer the questions below.
    0 .02 .04 .06 .08 .1
    20 30 40 50 Income
    Age Group
    a. What is the probability that a person selected at random feels no stress or has a low stress
    level? Which rule did you use to answer this question? (3 points)
    b. What is the probability that a person selected at random has a high stress level, given that
    this person is an older adult? (2 points)
    c. What is the probability that a person selected at random is a young adult and has a low
    stress level? (2 points)
    d. What is the probability that a person selected at random is a middle-aged adult or has a
    medium stress level? Which rule did you use to answer this question? (3 points)
  3. There is a 19% chance that an RT-PCR virus test will return a false negative (i.e., falsely
    indicate negative for the virus). 16 people are administered this test in a particular session. A
    test either returns a false negative or it does not. The probability of one test returning a false
    negative is independent of the probability of any other test returning a false negative.
    Stress Level Young Adult Middle-Aged Adult Older Adult
    High 13 19 9
    Medium 18 23 6
    Low 10 18 5
    None 12 7 10
    a. What is the probability of at least one of the tests administered during this session returning
    a false negative? (6 points)
    b. What is the expected number of false negatives returned in this session? (3 points)
    c. What is this type of problem (i.e. distribution) called as? Justify your answer. (2 points)
  4. The length of Zoom class sessions at a university is normally distributed, with a mean of 76
    minutes and a standard deviation of 27 minutes.
    a. What is the probability of a Zoom class session at this university being greater than one
    hour? (3 points)
    b. What is the probability of a Zoom class session at this university being greater than two
    hours? (3 points)
    c. How long does a Zoom session at this university need to be for it to be in the top 5% longest
    Zoom sessions? (4 points)
  5. Donald Trump received 43.25% of the votes cast in Colorado in the 2016 presidential
    election. A random sample of 275 likely voters in Colorado showed that 107 of them were
    going to vote for him in the 2020 presidential election. At the 5% level of significance, can
    we conclude that the proportion of Colorado voters voting for Donald Trump is significantly
    lower in 2020 than it was in 2016? Use this given data to answer the questions below.
    a. State the null and alternate hypotheses. (1 point)
    b. What is the decision rule? (2 points)
    c. What is the test statistic (and what is its value)? (3 points)
    d. What is the decision? Interpret this decision in 1 sentence. (2 points)
    e. What is the p-value? (2 points)
  6. Open a blank Excel spreadsheet and enter the following sample values in the first column
    (column A), starting in cell A1. Each value denotes the number of minutes a sample
    respondent indicated they spent waiting in line to vote in an election in person.
    77, 55, 30, 62, 51, 30, 15, 63, 74, 83, 19, 81, 35, 21, 65, 62, 43 and 68.
    a. Write down the Excel formulas used to calculate the mean and standard deviation of this
    sample. (2 points)
    b. What are the mean and standard deviation of this sample (as obtained using Excel)? (2
    c. Calculate the 95% confidence interval for the average amount of time a person spent
    waiting in line to vote. (2 points)
    d. Assume that another random sample of 25 people gave you the same mean and standard
    deviation as obtained in part (b). Calculate the new 95% confidence interval for the average
    amount of time a person spent waiting in line to vote. Explain in 1-2 sentences why this new
    95% C.I. is wider or narrower than the one calculated in part (c). (3 points)
Research Paper 101
Calculate your paper price
Pages (550 words)
Approximate price: -

Reasons to trust Research Paper 101

On Time Delivery

We pride ourselves in meeting the deadlines of our customers. We take your order, assign a writer but allow some more time for ourselves to edit the paper before delivering to you. You are guaranteed a flawless paper on a timely manner...

24x7 Customer Live Support

Our team at Research Paper 101 is committed to handling your paper according to the specfications and are available 24*7 for communication. Whenever you need a quick help, you can talk to our writers via the system messaging or contact support via live chat and we will deliver your message instantly.

Experienced Subject Experts

Online Experts from Research Paper 101 are qualified both academically and in their experiences. Many are Masters and Phd holders and therefore, are qualified to handle complex assignments that require critical thinking and analyses...

Customer Satisfaction

We offer dissertation papers as per students’ wishes. We also help craft out the best topics and design concept papers. By ordering with us, you are guaranteed of defending and making through those hard faced professors in the defense panel!

100% Plagiarism Free

We at Research Paper 101 take plagiarism as a serious offence. From the start, we train our writers to write all their papers from scratch. We also check if the papers have been cited appropriately. Our website also has a tool designed to check for plagiarism that has been made erroniusly. In essense, the paper you get will be 100% legit...

Affordable Prices

We understand that being a student is very challenging, some students balance between work and studies in order to survive. We therefore offer pocket friendly rates that are very competitive in the market.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.