Question
In: Statistics and Probability
The number of visitors to the historic Museum for 25 randomly selected hours is shown.
The number of visitors to the historic Museum for 25 randomly selected hours is shown.
15 53 48 19 38 86 63 98 79 38 26 39 67 89 62 28 35 54 88 76
31 47 53 41 68.
Exercise 3
You may use your calculator or excel to compute:
The sample mean, sample variance and sample standard deviation
What is the Coefficient of variation?
What are the range of values that are within two standard deviation of the mean?
How many data values are within this range?
According to the Chebyshev’s Theorem at least what proportion of values should be within two standard deviation of the mean?
Exercise 4
Using the data above
Determine the 5 number summary of the data
What is the Interquatile range?
Are there any outliers for these values?
Base on the position of the quartiles on a Box plot would you say that this distribution is Symmetric, skew to the left or skew to the right ( You do not need to show me your box plot but you need to draw one in order to answer the question)
Solutions
orchestra answered 2 years agoRelated Solutions
The number of visitors to the historic Museum for 25 randomly selected hours is shown. 15 ...
The number of visitors to the historic Museum for 25 randomly
selected hours is shown.
15 53 48 19
38 86 63 98
79 38 26 39
67 89 62 28
35 54 88 76
31 47 53 41 68.
Exercise 1
What is the sample size?
Is the variable qualitative or quantitative?
Is the variable discrete or continuous?
What is the level of measurement?
Exercise 2
In order to organize the following data in to 5 classes:
What is...
The number of visitors to the Historic Museum for 14 randomly selected hours is shown. 9...
The number of visitors to the Historic Museum for 14
randomly selected hours is shown.
9
30
30
31
35
36
37
37
39
53
55
63
64
95
Identify the five-number summary and the interquartile
range (IQR)?
Min :
Q1 :
MD:
Q3 :
Max :
IQR:
B.Construct a boxplot for the data?
C.comment on the shape of the distribution.
D.Determine if there are any outliers?
The number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to...
The number of hours of reserve capacity of 10 randomly
selected automotive batteries is shown to the right.1.73
1.85
1.56
1.64
1.71
1.98
1.32
1.51
1.46
2.01
Assume the sample is taken from a normally distributed population.
Construct 80% confidence intervals for (a) the population
variance sigmasquared and (b) the population standard deviation
sigma.
The number of hours of reserve capacity of 1010 randomly selected automotive batteries is shown to...
The number of hours of reserve capacity of
1010
randomly selected automotive batteries is shown to the right.
1.791.79
1.861.86
1.581.58
1.691.69
1.731.73
1.951.95
1.371.37
1.551.55
1.421.42
2.052.05
Assume the sample is taken from a normally distributed
population. Construct
9595%
confidence intervals for (a) the population variance
sigmaσsquared2
and (b) the population standard deviation
sigmaσ.
(a) The confidence interval for the population variance is
(nothing,nothing).
(Round to three decimal places as needed.)
A study examined the interactions in a children's museum. (Interactions by visitors to the museum included...
A study examined the interactions in a children's museum.
(Interactions by visitors to the museum included show-and-tell,
learning, teaching, refocusing, participatory play, advocating,
and disciplining interactions.) Researchers observed a sample of
143 meaningful interactions, of which 87 were led by children and
the rest were led by adult caregivers. Form a 95% confidence
interval around the proportion. What is the difference between the
highest possible value and the lowest possible value? Round your
final answer to three decimal places as...
Drug concentrations (measured as a percentage) for 25 randomly selected tablets are shown in the accompanying...
Drug concentrations (measured as a percentage) for 25 randomly
selected tablets are shown in the accompanying table. For
comparisons against a standard method, the scientists desire an
estimate of the variability in drug concentrations. Obtain the
estimate for the population variance for the scientists using a
95% confidence interval. Interpret the interval.
91.06
92.09
89.98
91.67
82.88
94.09
89.73
89.34
84.27
87.34
89.14
91.67
84.31
89.95
92.28
92.14
84.72
90.02
92.23
89.95
89.17
89.24
92.87
88.57
89.55
A survey of 25 randomly selected customers found the ages shown (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown
(in years).
The mean is 32.64 years and the standard deviation is 9.97
years.
a) What is the standard error of the mean?
b) How would the standard error change if the sample size had
been
400
instead of
25?
(Assume that the sample standard deviation didn't change.)
A survey of 25 randomly selected customers found the ages shown (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown
(in years). The mean is 32.24 years and the standard deviation is
9.55 years.
30
41
48
36
20
36
37
36
26
27
17
23
39
35
21
10
31
42
32
41
43
28
47
25
35
a) Construct a 90% confidence interval for the mean age of all
customers, assuming that the assumptions and conditions for the
confidence interval have been met.
b) How large is...
A survey of 25 randomly selected customers found the ages shown (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown
(in years). The mean is 31.52
years and the standard deviation is 10.24 years.
a) Construct a 95% confidence interval for the mean age of
all customers, assuming that the assumptions and conditions for
the confidence interval have been met.
b) How large is the margin of error?
c) How would the confidence interval change if you had assumed
that the standard deviation was known to be 11.0
years?...
A survey of 25 randomly selected customers found the ages shown (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown
(in years). The mean is 33.16 years and the standard deviation is
9.33
years.
a) Construct a 95% confidence interval for the mean age of all
customers, assuming that the assumptions and conditions for the
confidence interval have been met.
b) How large is the margin of error?
c) How would the confidence interval change if you had assumed
that the standard deviation was known to be 10.0 years?...
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