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TIPS FOR THE QUIZ
Quiz #2
`Name________________________
Section No. _____________
(5%)
1. A pollster selected 4 of 7 available people. How many different groups of 4 are
possible?
10%
2. Your firm has a contract to make 2000 staff uniforms for a fast –food retailer. The
heights of the staff are normally distributed with a mean of 70 inches and a standard
deviation of 3 inches. What percentage of uniforms will have to fit staff shorter than
67inches? What percentage will have to be suitable for staff taller than 76 inches.?
a) 16% & 2.5%
b) 68% & 95%
c) 32% & 5%
(15%)
3. The industry standards suggest that 20% of new vehicles require warranty service
within the first year. A dealer sold 20 Nissans yesterday. Use equation for Binomial
Probability for part a) and Table II for part b) & c). Show work!
a) What is the probability that none of these vehicles requires warranty service? Use the
Binomial equation for P(X=0).
b) What is the probability that exactly one of these vehicles requires warranty service?
c) Determine the probability 3 or more of these vehicles require warranty service.
d) Compute the mean and std. dev. of this probability distribution.
(15%)
4. Allen & Associates write weekend trip insurance at a very nominal charge. Records
show that the probability a motorist will have an accident during the weekend and will
file a claim is quite small (.0005). Suppose Alden wrote 400 policies for the forthcoming
weekend. Compute the probability that exactly two claims will be filed using the equation
for Poisson Probability.
Note: The symbol λ is the mean (expected value) which we used as μ = np. So λ is
nothing more than the mean number of occurrences (successes = np) in a particular
interval.
Get the probability that the number of claims is at least 3 from Poisson Tables.
(10%)
5. Given a standard normal distribution, determine the following. Show Table Values
used in each part.
a) P(Z1.4)
c) P(Z< -1.4)
d) P( - 0.50

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## Explanation & Answer

Attached.

1. n = 7 r = 4

nCr = n! / (r! (n – r)!)

= 7! / (4! (7 – 4)!) = 35

2. = 70

Answer: 16% & 2.5%

3. (a) Required Probability = P(X=0) = 20C0*0.20*0.820-0 = 1

(b) Required Probability = P(X=1) = 20C1*0.21*0.820-1 = 0.2059

From Binomial table this value is coming out to be the same i.e.

(c) Required Probability = P( X ≥ 3) = 1- P(X=0) –...

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Confidence IntervalsIn everyday terms, a confidence interval is the range of values around a sample statistic (such as mean or proportion) within which clinicians can expect to get the same results if they repeat the study protocol or intervention, including measuring the same outcomes the same ways. As you ask yourself, "Will I get the same results if I use this research?", you must address the precision of study findings, which is determined by the Confidence Interval. If the CI around the sample statistic is narrow, you can be confident you will get close to the same results if you implement the same research in your practice.Consider the following example. Suppose that you did a systematic review of studies on the effect of tai chi exercise on sleep quality, and you found that tai chi affected sleep quality in older people. If, according to your study, you found the lower boundary of the CI to be .49, the study statistic to be 0.87, and the upper boundary to be 1.25, this would mean that each end limit is 0.38 from the sample statistic, which is a relatively narrow CI.(UB + LB)/2 = Statistic [(1.25 + .49)/2 = .87]Keep in mind that a mean difference of 0 indicates there is no difference; this CI does not contain 0. Therefore, the sample statistic is statistically significant and unlikely to occur by chance.Because this was a systematic review, and tai chi exercise has been established from the studies you assessed as helping people sleep, based on the sample statistics and the CI, clinicians could now use your study and confidently include tai chi exercises among possible recommendations for patients who have difficulty sleeping.Now you can apply your knowledge of CIs to create your own studies and make wise decisions about whether to base your patient care on a particular research finding.Initial Post InstructionsThinking of the many variables tracked by hospitals and doctors' offices, confidence intervals could be created for population parameters (such as means or proportions) that were calculated from many of them. Choose a topic of study that is tracked (or that you would like to see tracked) from your place of work. Discuss the variable and parameter (mean or proportion) you chose, and explain why you would use these to create an interval that captures the true value of the parameter of patients with 95% confidence.Consider the following:How would changing the confidence interval to 90% or 99% affect the study? Which of these values (90%, 95%, or 99%) would best suit the confidence level according to the type of study chosen? How might the study findings be presented to those in charge in an attempt to affect change at the workplace?

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The data file (attached - case study 2) contains estimated housing and income data for 2018 for each of the 50 US states
per the American Community Survey. The data fields included are as follows: Owner-occupied housing units (%) – Pct Owner Occ Home Value (median / dollars) – Home Value Household income (median / dollars) – HH Inc Per capita income (median / dollars) – Per Cap Inc Prior to a more detailed analysis of the data, a company wants to get a good understanding of
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The data file (attached - case study 2) contains estimated housing and income data for 2018 for each of the 50 US states
per the American Community Survey. The data fields included are as follows: Owner-occupied housing units (%) – Pct Owner Occ Home Value (median / dollars) – Home Value Household income (median / dollars) – HH Inc Per capita income (median / dollars) – Per Cap Inc Prior to a more detailed analysis of the data, a company wants to get a good understanding of
four of the variables: Home Value; HH Inc; Per Cap Inc; Pct Owner Occ (e.g. central tendency,
variability, shape of the distribution, pattern of relationship between the variables). A company
representative contracts with you to help with this process. To help the company get a better
understanding of the data, you are asked to perform the following analysis steps: 1. Using Data>Data Analysis>Descriptive Statistics in Excel, calculate the mean, median,
range and standard deviation of each variable and summarize the results in table. 2. Using Excel, create a frequency histogram for each variable to determine the shape of
the distributions. Be sure to give each chart a title and label the axes clearly. 3. Using Excel, create boxplots for each variable. Be sure to give each chart a title and
label the axes clearly. 4. Using Excel, create scatterplots of each variable with each other variable (hint: you
should have 6 scatterplots). Be sure to give each chart a title and label the axes clearly. 5. Using Data>Data Analysis>Correlation in Excel, calculate the correlation coefficient each
variable with each other variable. 6. In Word, write a summary report of the findings that includes the tables and charts from
steps 1-5 and includes the following: a. An introductory paragraph summarizes the purpose of the analysis. b. A section (1 or more paragraphs) describing what the tabular data from step 1
indicate about the central tendency, variability and distribution of each variable. For
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