Statistics Lab Week 2
Name:_
Math221
Statistical Concepts:
Using Minitab
Graphics
Shapes of Distributions
Descriptive Statistics
Empirical Rule
Data in Minitab
Minitab is a powerful, yet user-friendly, data analysis software package. You can
launch M
Examples for Week 6
Homework Problems 17,18
and 20
B Heard
Example for Week 6
Homework Problem 17
B Heard
Week 6 Homework Examples
This one is just a confidence interval
problem.
Example
In a survey of 6000 men, 3695 say they wore
a hat at least once a we
Binomial vs. Poisson
Binomial Distribution
Poisson Distribution
Fixed Number of Trials (n)
Infinite Number of Trials
[10 pie throws]
Only 2 Possible Outcomes
Unlimited Number of Outcomes Possible
[hit or miss]
Probability of Success is Constant (p)
[0.4 s
Using the Empirical Rule
The mean value of land and buildings per acre from a sample of farms is $2,400, with a standard deviation of $450. Between what
two values do about 95% of the data lie? (Assume the data set has a bell-shaped distribution.)
EMPIRIC
The way a hypothesis test is conducted is by having a researcher collect a sample data. That data is used to compute a test statistics, if the
data falls within a specified range of values, the researcher rejects the null hypothesis. The region of rejecti
Another detailed example problem solution
A veterinarian records the weights of dogs treated at a clinic. The weights are normally distributed, with a mean of 52 pounds
and a standard deviation of 15 pounds. Find the weights x corresponding to z-scores of
Statistics Lab #6
Name: AngelaGarciaAscencio
Statistical Concepts:
Data Simulation
Discrete Probability Distribution
Confidence Intervals
Calculations for a set of variables
Open the class survey results that were entered into the MINITAB worksheet.
We
Minitab Z Mean -Less Than
1.Click on Stat
2.Click on Basic Statistics
3.Click on 1 Sample Z
4.Click on the Summarized data radio button
5.First, enter the values for the Sample size, Mean and Standard Deviation
6.Second, click on the Perform hypothesis te
Sheet 1
Basic Statistics from Raw Data
Sales Data
Measures of Central tendency
Mean
8.85
Median
6.25
Mode
0.25
Range
IQR
30
12
Measures of Dispersion
If the data is of a
Sample
Population
Variance 102.266667
92.04
St. Dev. 10.1126983 9.59374796
Skewness a
Construct the indicated confidence interval for the population mean . Round your answer to the nearest tenth.
c=.90 (Zc=1.645) ; xbar=12.3 ; s=1.5, n=50
Formula: E = Zc(s/sqrt 50) = 1.645(1.5/sqrt50) = 0.349
Confidence Interval = xbar 0.3 = 12.0, 12.6
Use
Rejecting or Failing to Reject the Null Hypothesis
If the p-value is less than the significance level, reject the null hypothesis. For example, if = 0.05 and
the p-value is 0.03, reject the null hypothesis because we expect to see the observed outcome onl
x
y
4
4
5
6
8
30
35
36
42
48
They ask for "r"
0.959781
0
0.26
0.66
0.42
0.56
0.35
-0.16
0.1
0.5
0.26
0.4
0.19
1.29
0.0256
0
0.01
0.0026
0.25
0.165
0.0676
0.028392
0.16
0.0896
0.0361 mean
0.012635
1.6641
0.16 0.298227
Range is the Max Value - Min Value
9 -
1.
Question: (TCO 6) In the standard normal distribution, the standard deviation is always
Your Answer:
0
( Ch 5: By definition, the standard
deviation = 1. )
1
CORREC
T
2
none of
these
2.
Points 5 of 5
Received:
Question: (TCO 6) The area under a normal
A
B
C
D
E
F
G
1 Binomial Distribution
2
n
p
Mean
Variance
3
25
0.9
22.5
2.25
4
5
6
P(Exactly x)P(Exactly x) x)P(At most x) x)P(At least x)
x
P(At most
P(At least
0
0.0000
0.0000
1.0000
7
1
0.0000
0.0000
1.0000
8
2
0.0000
0.0000
1.0000
9
12
3
0.0000
0.0000
The mathematical formula for the Mean of a Binomial is Mean = np
The mathematical formula for the Standard Deviation is SD = Square Root (npq)
x
0
p
3
1
0.6
0.4
Mean Standard Deviatiion
1.8 0.8485281374
Variance
0.72
0.1830354
2
q
0.14559635
0.25479362
0.
Statistics Lab Week 4
Name:_
MATH221
Statistical Concepts:
Probability
Binomial Probability Distribution
Calculating Binomial Probabilities
Open a new MINITAB worksheet.
We are interested in a binomial experiment with 10 trials. First, we will make th
In sections 5.1 to 5.3 all the questions were about a sample size of 1. 5.4 is talking about larger sample
sizes. The standard normal curve is set to address a sample size of one. Why in 5.4 you have to adjust the
standard deviation.
The average height of
Example: 4! is shorthand for 4 x 3 x 2 x 1
The factorial function (symbol: !) means to multiply a series of descending natural
numbers. Examples:
4! = 4 3 2 1 = 24
7! = 7 6 5 4 3 2 1 = 5040
1! = 1
4! is usually pronounced "4 factorial", but some people
TO START Cyanosis is the condition of having bluish skin due to insufficient oxygen in the blood. 80% of babies born with cyanosis recover
fully. A hospital is caring for 5 babies born with cyanosis. The random variable (X) represents the number of babies
I am going to walk through doing the binomial distribution problem #23 on text book page 213. I am following the instructions shown below
from the Minitab Tutorials tab under Course Home.
The problem specific p = 0.43 therefore q = 0.57 and n = 14 X = num