from Exercise 8.72 on page 349 in the textbook. Preliminary data analyses indicate that you can reasonably apply the z-interval procedure.Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. (Note: The sum of the data is 9047).Interpret your answer from part (a).Find a 99% confidence interval for ��.Why is the confidence interval you found in part ( c) longer than the one in part (a)?Draw a graph similar to the one shown in Figure 8.5 to display both confidence intervals.Which confidence interval yields more precise estimate of ?? Explain your answer.Exercise 8.72 & Figure 8.5 are attached 8.72 Smelling Out the Enemy. Snakes deposit chemical trails asthey travel through their habitats. These trails are often detected andrecognized by lizards, which are potential prey. The ability to recog-nize their predators via tongue flicks can often mean life or death forlizards. Scientists from the University of Antwerp were interested inquantifying the responses of juveniles of the common lizard (Lacertavivipara) to natural predator cues to determine whether the behav-ior is learned or congenital. Seventeen juvenile common lizards wereexposed to the chemical cues of the viper snake. Their responses, innumber of tongue flicks per 20 minutes, are presented in the followingtable. [SOURCE: Van Damme et al., "Responses of Naïve Lizardsto Predator Chemical Cues," Journal of Herpetology, Vol. 29(1),pp. 38-43]425 510 629 236 654 200276 501 811332424674676694 710 662633 FIGURE 8.5Margin of error, Es It Mean?of error for theX-Zα/2*σ√nEXEx+Za/2*

Given information: The data is given below, 425 510 629 236 654 200 276 501 811 332 424 674…

Answered: rom Exercise 8.72 on page 349 in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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from Exercise 8.72 on page 349 in the textbook. Preliminary data analyses indicate that you can reasonably apply the z-interval procedure.
1. Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. (Note: The sum of the data is 9047).
2. Interpret your answer from part (a).
3. Find a 99% confidence interval for ��.
4. Why is the confidence interval you found in part ( c) longer than the one in part (a)?
5. Draw a graph similar to the one shown in Figure 8.5 to display both confidence intervals.
6. Which confidence interval yields more precise estimate of ?? Explain your answer.

Exercise 8.72 & Figure 8.5 are attached

8.72 Smelling Out the Enemy. Snakes deposit chemical trails as
they travel through their habitats. These trails are often detected and
recognized by lizards, which are potential prey. The ability to recog-
nize their predators via tongue flicks can often mean life or death for
lizards. Scientists from the University of Antwerp were interested in
quantifying the responses of juveniles of the common lizard (Lacerta
vivipara) to natural predator cues to determine whether the behav-
ior is learned or congenital. Seventeen juvenile common lizards were
exposed to the chemical cues of the viper snake. Their responses, in
number of tongue flicks per 20 minutes, are presented in the following
table. [SOURCE: Van Damme et al., "Responses of Naïve Lizards
to Predator Chemical Cues," Journal of Herpetology, Vol. 29(1),
pp. 38-43]
425 510 629 236 654 200
276 501 811
332
424
674
676
694 710 662
633

FIGURE 8.5
Margin of error, E
s It Mean?
of error for the
X-Zα/2*
σ
√n
E
X
E
x+Za/2*

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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