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
The important start for any problem that could be a permutation or combination is to remember that in a combination "order does
not matter". Think of it as playing cards. If you are dealt 5 cards, no matter what order they are dealt to you, you have the e
Examples for Week 5
Homework Problems
7,9,13,15,17 and 20
B Heard
Example for Week 5
Homework Problem 7
B Heard
Homework Example
Assume the random variable x is normally
distributed with mean mu=73 and standard
deviation sigma = 6. Find the indicated
prob
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
x
y
4
4
5
6
8
30
35
36
42
48
They ask for "r"
0.959781
9
-3
5
-5
7
6
Range is the Max Value - Min Value
9 - (-5) = 14
14
27.47222 Pop Var
5.241395 Pop Std Dev
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
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
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
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
Relational Symbols
=
equals
is the same as
>
is greater than
is more than
exceeds
or >=
is above
is greater than or equal to
is at least
is not less than
is less than
is fewer than
is below
is less than or equal to
is at most
does not exceed
is not greate
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 -
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
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
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
Statistics Lab Week 4
Name: Angela Garcia Ascencio
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.
Statistics Lab Week 2
Name: Angela Garcia Ascencio
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 pac
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
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