### Calculating a z-score and graphing a box plot

Assignment Help Applied Statistics
##### Reference no: EM1384644

Question 1:  Calculating a Z-score and graphing a box plot

Look at the data under dietarysupp.  The table gives the number of American adults who have used the indicated "nonvitamin, nonmineral, natural products".

a) Use Minitab to find the 5 number summary for this data and graph the box plot

b) What is the mean, standard deviation, median, IQR and range of this data?  Does the mean and median have to equal?  What is the difference between how the range and IQRare calculated?

c) Find the Z-score of St John's wort.

d) Use the 1.5*IQR to determine if there are any outliers?  Are there any outliers using the Z-score (≥ 3 or ≤ -3)?

Question 2:  Statistical Inference of Sample Mean

Work with ONLY the sodium column in the Nutrient data (column P).  Test whether the population mean, µ of sodium content in food is greater than 280 mg.  Let σ = 625 mg and a level of significance of α=0.05.  You will need to use a software program (Minitab, Excel) to calculate sample mean, x' and ascertain an n.

a) Write out the steps and draw a conclusion.

b) Report a 99% confidence interval for the sample mean, x'.

Question 3: Binomial Distribution

A virologist has just developed a new flu vaccine to treat a particular resilient strand of the flu.  The researcher would like to test her vaccine on patients.  The probability of getting the flu with the vaccine is p=0.3 for a given individual.  If in a research study she is looking at 45 individuals.

a) What is the probability that 20 people will NOT get the flu, Pr(X= 20)? [Hint: pay attention the definition of success and which p you are going to used]

b) What is the probability that it will work on 2 or more people, i.e. 2 or more individuals will NOT get the flu Pr (X ≥ 2)? [Hint pay attention to how p is defined]

Question 4:  Regression Analysis (edunemploy data)

The U.S. Census Bureau published the following data (see edunemploy) on years of education and unemployment rate.

a) Plot the scatterplot ofunemployment rate (y-axis) versus years of education (x-axis).  Include the regression line.  Describe the direction and strength of the relationship, and comment on whether there are any outliers (visually identified).

b) Determine the equation of the regression line relating y=unemployment rate to x= years of education.

c) What is the value of the slope of the equation?  Write a sentence that interprets the slope in the context of these variables.  It should start with "Every additional year of education..."

d) Based on the equation, what is the estimated unemployment for someone with 8 years of education?  Is x=8 an average or prediction? Comment on the comparison between the actual value and the estimated value.  Why are they not equal?

### Previous Q& A

#### Explain the ethical issues surrounding the decision

Explain the ethical issues surrounding the decision of whether to market the product in developing nations.

#### How much energy is dissipated in the first interval

A damped mass-spring system oscillates at 275-Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation is 3.20cm and the energy of the oscillating system is then 32 J.

#### Temperature and velocity of the air-adiabatic nozzle

Air at 200 kPa and 950 K enters an adiabatic nozzle at low velocity and is discharged at a pressure of 80 kPa. If the isentropic efficiency of the nozzle is 92%, determine the temperature and velocity of the air at the exit.

#### Intentional markets or indian businesses

Europeans feel their culture is superior others or Americans welcome diversity in their workforce or Chinese industries are actively seeking intentional markets or Indian businesses are pursuing a policy of multiculturalism

#### Normalization procedures suggested by shome and cornell

These are normalization procedures suggested by Shome and Cornell. EQ Tools program permits any of these normalization (or scaling) approaches.

#### Populations at non-neutral loci

Discuss why is even weak selection still stronger than drift in very large populations at non-neutral loci?

#### How much heat is released by the water

When the water turns to ice during the night, heat is free into the plants, thereby giving them a measure of protection against the falling temperature. Assume a grower sprays 7.64 kg of water at 0°C onto a fruit tree.

#### Illustrate what is the impact on the organization

Illustrate what happens if the merit pay program is not designed to differentiate between various levels of performance. Illustrate what is the impact on the organization.

#### Illustrate what should the manager say to influence

To make the change requires the approval of the immediate boss, the Production Vice President, who is usually reluctant to make risky decisions. Illustrate what should the manager say to influence the Production VP to approve the proposed change?

#### Find gravitational potential energy associated with child

A 230-N child is in a swing that is attached to ropes 1.90m long. Find out the gravitational potential energy associated with child relative to her lowest position at the following times.

### Similar Q& A

#### Minimize the production cost

Minimize the production cost and the optimal order quantity is cartons of milk, and the average inventory is about cartons - variable cost of making

#### Problems based on probability

What is the probability in the sample?

#### Regression analysis techniques

Regression analysis techniques

#### What is the null hypothesis

Is the mean Hemoglobin level of a group of high-altitude workers different from 16g/cc and does the mean speed of 50 cars as checked by radar on a I-70 differ from 65mph?

#### Filtering and summarizing data

Filtering and Summarizing Data

#### What is the importance of the decision theory

Decision Trees are graphic displays of the decision process. When do you feel it is appropriate to use decision trees?

#### What is a three-period moving average forecast

What is a three-period moving average forecast for the month of July? What is the slope of the regression equation developed when the Sales data are used to predict the Pounds?

#### Determine the impact of social media use on student learning

Research paper examines determine the impact of social media use on student learning.

#### Positive relationship between advertising and demand

We expect to have a positive relationship between Advertising and Demand.

#### Interpreting statistical data

The researchers used the available survey data and summarised the nature of the car accidents and if a mobile phone was being used by the driver either during (or immediately before) the accident

#### Calculate the correlation coefficient

Calculate the correlation coefficient 