) Does the evidence suggest that the clarity of the lake is improving at the a =0.05 level of significance? Note that the normal probability plot and boxplot of the lata indicate that the differences are approximately normally distributed with no outliers. Let d, = X, - Y, Identify the null and alternative hypotheses. Tyne integers or decimals, Do not round.)
) Does the evidence suggest that the clarity of the lake is improving at the a =0.05 level of significance? Note that the normal probability plot and boxplot of the lata indicate that the differences are approximately normally distributed with no outliers. Let d, = X, - Y, Identify the null and alternative hypotheses. Tyne integers or decimals, Do not round.)
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Solve question (b) please
![MyStatLab Data Set
StatCrunch Applets Edit Data Stat Graph Help
Initial Dept Depth Five
52.1
var5
Row Observatio
Date
1
1
1-25
53.5
2
3-19
59.3
59.5
3
5-30
63.2
59.7
4
7-3
50.3
51.7
5
9-13
60.6
55.9
6.
6.
11-7
68.5
71.7
7
8
9.
10
11
12
13
14
15
16
17
18
19
20
21
23 4 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F689f3367-74c4-47f3-8814-975db27b8e3d%2Fd9c4e094-0306-4314-b39b-03b43d0fde3e%2Fwv2hmo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:MyStatLab Data Set
StatCrunch Applets Edit Data Stat Graph Help
Initial Dept Depth Five
52.1
var5
Row Observatio
Date
1
1
1-25
53.5
2
3-19
59.3
59.5
3
5-30
63.2
59.7
4
7-3
50.3
51.7
5
9-13
60.6
55.9
6.
6.
11-7
68.5
71.7
7
8
9.
10
11
12
13
14
15
16
17
18
19
20
21
23 4 5
![A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5
years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data
is given in the table below. Complete parts (a) through (c) below.
1
6.
Observation
Date
1/25 3/19 5/30
7/3
9/13 11/7
Initial Depth, X;
53.5
59.3
63.2
50.3
60.6
68.5
52.1
59.5 59.7
51.7
55.9
71.7
Depth Five Years Later, Y
a) Why is it important to take the measurements on the same date?
O A. Using the same dates makes it easier to remember to take samples.
O B. Using the same dates maximizes the difference in water clarity.
C. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date.
O D. Those are the same dates that all biologists use to take water clarity samples.
b) Does the evidence suggest that the clarity of the lake is improving at the a = 0.05 level of significance? Note that the normal probability plot and boxplot of the
data indicate that the differences are approximately normally distributed with no outliers.
Let d, = X, - Y. Identify the null and alternative hypotheses.
Hg-
(Type integers or decimals. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F689f3367-74c4-47f3-8814-975db27b8e3d%2Fd9c4e094-0306-4314-b39b-03b43d0fde3e%2Fku1yuqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5
years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data
is given in the table below. Complete parts (a) through (c) below.
1
6.
Observation
Date
1/25 3/19 5/30
7/3
9/13 11/7
Initial Depth, X;
53.5
59.3
63.2
50.3
60.6
68.5
52.1
59.5 59.7
51.7
55.9
71.7
Depth Five Years Later, Y
a) Why is it important to take the measurements on the same date?
O A. Using the same dates makes it easier to remember to take samples.
O B. Using the same dates maximizes the difference in water clarity.
C. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date.
O D. Those are the same dates that all biologists use to take water clarity samples.
b) Does the evidence suggest that the clarity of the lake is improving at the a = 0.05 level of significance? Note that the normal probability plot and boxplot of the
data indicate that the differences are approximately normally distributed with no outliers.
Let d, = X, - Y. Identify the null and alternative hypotheses.
Hg-
(Type integers or decimals. Do not round.)
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