Answered: d. A sample of 6 durations have values:…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 25E

See similar textbooks

Related questions

Concept explainers

Question

The attached plots were constructed using a sample of 272 observations. Each observation gives the elapsed time (in minutes) of an eruption of Old Faithful geyser in Yellowstone national park.

d. A sample of 6 durations have values: 4.850, 2.200, 2.900, 4.367, 1.750, 3.966. What is the mean of this sample?

e. What is the standard deviation of the sample in d. if ∑ni=1x2i=74.635∑i=1nxi2=74.635?( attached as pic)

f. Give the shape and parameters of the sampling distribution of the sample mean when n=272n=272 if μ=3.4μ=3.4 and σ=1.16σ=1.16. Explain how you know the shape the distribution takes on.

e. What is the standard deviation of the sample in d. if E x? = 74.635?

Boxplot of the Duration of Eruptions (in Mins)
Histogram of the Duration of Eruptions (in Mins)
20
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
Duration (In Minutes)
Duration (In Minutes)
Frequency
15

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL