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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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

Expert Solution

Step 1

Given:-

sample - 4.850, 2.200, 2.900, 4.367, 1.750, 3.966

sample size(n)=6

formula-

mean ( $μ$ ) =_{$\frac{\sum_{i} x_{i}}{n}$}

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.

Similar questions