A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. These values are given in the accompanying table. Complete parts a through d. 488 297 347 432 456 - 184 200 261 290 270 A. The sample must be randomly selected from the population. B. The population distribution must be approximately normal. C. The sample must be selected carefully to represent the whole population. D. The sample size must be much smaller than the population size. Is it reasonable to assume that the population distribution is approximately normal? O A. No, because the sample distribution is definitely not normal. B. Yes, because the sample distribution is approximately normal. OC. The condition does not apply. 410 405 C 573 310 436 313 a. Estimate the true mean skidding distance for the road with a 95% confidence interval. (Round to one decimal place as needed.) b. Give a practical interpretation of the interval, part a. The confidence interval means that we are confident that the true c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below. for 549 145 381 426 is in the interval. D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Options for blank spaces 1) skidding distance variance,mean skidding variance,skidding distance standard deviation 2)the whole road,the sampled points

A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sites.
These values are given in the accompanying table. Complete parts a through d.
488
297
347
432
456
- 184
200
261
290
270
A. The sample must be randomly selected from the population.
B. The population distribution must be approximately normal.
C. The sample must be selected carefully to represent the whole population.
D. The sample size must be much smaller than the population size.
Is it reasonable to assume that the population distribution is approximately normal?
O A. No, because the sample distribution is definitely not normal.
B. Yes, because the sample distribution is approximately normal.
OC. The condition does not apply.
410
405
←
573
310
436
313
a. Estimate the true mean skidding distance for the road with a 95% confidence interval.
(Round to one decimal place as needed.)
b. Give a practical interpretation of the interval, part a.
The confidence interval means that we are
confident that the true
c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied? Check all correct statements below.
for
549
145
381
426
is in the interval.
D₂₁

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 + ...

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