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[answered] MATH399 Statistics Week 4 Lab Name: _______________________


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MATH399 Statistics

 

Week 4 Lab

 

Name: _______________________

 

Statistical Concepts: Probability Binomial Probability Distribution

 

Calculating Binomial Probabilities Open a new Excel worksheet.

 

1.

 

2.

 

3.

 

4.

 

5. Open spreadsheet

 

In cell A1 type ?success? as the label

 

Under that in column A, type 0 through 10 (these will be in rows 2 through 12)

 

In cell B1, type ?one fourth?

 

In cell B2, type ?=BINOM.DIST(A2,10,0.25,FALSE)? [NOTE: if you have

 

Excel 2007, then the formula is BINOMDIST without the period]

 

6. Then copy and paste this formula in cells B3 through B12

 

7. In cell C1, type ?one half?

 

8. In cell C2, type ?=BINOM.DIST(A2,10,0.5,FALSE)?

 

9. Copy and paste this formula in cells C3 through C12

 

10. In cell D1 type ?three fourths?

 

11. In cell D2, type ?=BINOM.DIST(A2,10,0.75,FALSE)?

 

12. Copy and paste this formula in cells D3 through D12 Plotting the Binomial Probabilities

 

1. Create plots for the three binomial distributions above. You can create the scatter

 

plots in Excel by selecting the data you want plotted, clicking on INSERT, CHARTS,

 

SCATTER, then selecting the first chart shown which is dots with no connecting

 

lines. Do this two more times and for graph 2 set Y equal to ?one half? and X to

 

?success?, and for graph 3 set Y equal to ?three fourths? and X to ?success?. Paste

 

those three scatter plots in the grey area below. (12 points) Version 20160311 Calculating Descriptive Statistics You will use the same class survey results that were entered into the Excel worksheet

 

for the Week 2 iLab Assignment for question 2.

 

2. Calculate descriptive statistics for the variable (Coin) where each of the students

 

flipped a coin 10 times. Round your answers to three decimal places and type the

 

mean and the standard deviation in the grey area below. (4 points)

 

Mean:

 

Standard deviation:

 

Short Answer Writing Assignment ? Both the calculated binomial probabilities and the

 

descriptive statistics from the class database will be used to answer the following

 

questions. Round all numeric answers to three decimal places.

 

3. List the probability value for each possibility in the binomial experiment calculated at

 

the beginning of this lab, which was calculated with the probability of a success being

 

?. (Complete sentence not necessary; round your answers to three decimal places)

 

(10 points)

 

P(x=0)

 

P(x=1)

 

P(x=2)

 

P(x=3)

 

P(x=4)

 

P(x=5) P(x=6)

 

P(x=7)

 

P(x=8)

 

P(x=9)

 

P(x=10) 4. Give the probability for the following based on the calculations in question 3 above,

 

with the probability of a success being ?. (Complete sentence not necessary; round

 

your answers to three decimal places) (12 points)

 

P(x?1)

 

P(x>1)

 

P(4<x ?7) P(x<0)

 

P(x?4)

 

P(x<4 or x?7) 5. Calculate (by hand) the mean and standard deviation for the binomial distribution

 

with the probability of a success being ? and n = 10. Either show work or explain

 

Version 20160311 how your answer was calculated. Use these formulas to do the hand calculations:

 

Mean = np, Standard Deviation =

 

(4 points)

 

npq

 

Mean = np:

 

Standard Deviation = : npq 6. Using all four of the properties of a Binomial experiment (see page 201 in the

 

textbook) explain in a short paragraph of several complete sentences why the Coin

 

variable from the class survey represents a binomial distribution from a binomial

 

experiment. (4 points) 7. Compare the mean and standard deviation for the Coin variable (question 2) with

 

those of the mean and standard deviation for the binomial distribution that was

 

calculated by hand in question 5. Explain how they are related in a short paragraph of

 

several complete sentences. (4 points)

 

Mean from question #2:

 

Standard deviation from question #2:

 

Mean from question #5:

 

Standard deviation from question #5:

 

Comparison and explanation:

 

Version 20160311 Version 20160311

 


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