Here is the data and scenario for the above questions: An ornithologist is studying the role of color in flower selection for a particular species of hummingbird. He places 3 lilac bushes with similar size, flower yield, and scent profile near a known hummingbird habitat--one with white flowers, one with pink flowers, and one with purple flowers. He then uses surveillance cameras to count hummingbird visits to each of the 3 bushes for 30 days. The daily visit count data for each lilac color bush is summarized below: White Pink PurpleMean: 17.2 17.8 18.5S.Dev: 1.9 1.4 2.6(Hint for calculations: What is n here, and why? What are the actual data sets corresponding to each mean?) What does the ornithologist conclude? Do you have a recommendation for further study? - For each of the five scenarios that follow, do the following steps in the hypothesis testing process, withthe level of significance a = .05 for each.. State the null and alternative hypotheses, explaining your thought process.State which type of test you will do, of the five tests introduced in this week's interactive readingassignments, and how you know.• State whether the area you will be interested in, when doing the test, will be to the left, to the right,or both, and how you know.. Find the test statistic for the test you determined was appropriate.. Find the p-value corresponding to the test statistic, given the direction you determined for the area.Explain what the p-value represents.State whether the results are or are not statistically significant, explaining in terms of the relationshipbetween the p-value and aExplain what the results of the test mean, using the vocabulary of hypothesis testing.Explain what the results of the test mean, using words other than the vocabulary of hypothesistesting.• Answer any other questions which accompany the scenario.1O0Oresearcher wants to examine whether encouraging students to write about their thought processesaffects student confidence level with mathematical procerecently completed two mathand one which does not.asking whether they are or are not confident with mathematical processes. The results of the surveysare summarized in the following table:WrittenAssignments?ConfidentNotConfidentTotalUSDec 99:13

Answered: Here is the data and scenario for the…

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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Here is the data and scenario for the above questions:

An ornithologist is studying the role of color in flower selection for a particular species of hummingbird. He places 3 lilac bushes with similar size, flower yield, and scent profile near a known hummingbird habitat--one with white flowers, one with pink flowers, and one with purple flowers. He then uses surveillance cameras to count hummingbird visits to each of the 3 bushes for 30 days. The daily visit count data for each lilac color bush is summarized below:

White Pink Purple

Mean: 17.2 17.8 18.5

S.Dev: 1.9 1.4 2.6

(Hint for calculations: What is n here, and why? What are the actual data sets corresponding to each mean?) What does the ornithologist conclude? Do you have a recommendation for further study?

- For each of the five scenarios that follow, do the following steps in the hypothesis testing process, with
the level of significance a = .05 for each.
. State the null and alternative hypotheses, explaining your thought process.
State which type of test you will do, of the five tests introduced in this week's interactive reading
assignments, and how you know.
• State whether the area you will be interested in, when doing the test, will be to the left, to the right,
or both, and how you know.
. Find the test statistic for the test you determined was appropriate.
. Find the p-value corresponding to the test statistic, given the direction you determined for the area.
Explain what the p-value represents.
State whether the results are or are not statistically significant, explaining in terms of the relationship
between the p-value and a
Explain what the results of the test mean, using the vocabulary of hypothesis testing.
Explain what the results of the test mean, using words other than the vocabulary of hypothesis
testing.
• Answer any other questions which accompany the scenario.
1
O
0
O
researcher wants to examine whether encouraging students to write about their thought processes
affects student confidence level with mathematical proce
recently completed two math
and one which does not.
asking whether they are or are not confident with mathematical processes. The results of the surveys
are summarized in the following table:
Written
Assignments?
Confident
Not
Confident
Total
US
Dec 9
9:13

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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