Can you help me calculate the statistic and p-value for the following equation? 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 paintedblack 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.Observation123Date1/25 3/19 5/307/39/13 11/7Initial Depth, X,49.445.8 35.3 62.561.3 39.6Depth Five Years Later, Y;55.945.040.265.467.741.5distributed with no outliers.Let d, = X; - Y;. Identify the null and alternative hypotheses.Họ: HdH1: Hd <0(Type integers or decimals. Do not round.)Determine the test statistic for this hypothesis test.(Round to two decimal places as needed.)

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Description: Can you help me calculate the statistic and p-value for the following equation? 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 lat

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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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Can you help me calculate the statistic and p-value for the following equation?

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.
Observation
1
2
3
Date
1/25 3/19 5/30
7/3
9/13 11/7
Initial Depth, X,
49.4
45.8 35.3 62.5
61.3 39.6
Depth Five Years Later, Y;
55.9
45.0
40.2
65.4
67.7
41.5
distributed with no outliers.
Let d, = X; - Y;. Identify the null and alternative hypotheses.
Họ: Hd
H1: Hd <0
(Type integers or decimals. Do not round.)
Determine the test statistic for this hypothesis test.
(Round to two decimal places as needed.)

Expert Solution

Step 1

Hypothesis testing plays a major role in research and development. To diagnose the underlying cause the hypothesis is generated and data is collected. Then, with the help of statistical methods, the results are drawn.

In hypothesis testing, two hypotheses are formed, namely null and alternate hypotheses. The alternative hypothesis is the result that the researcher wants or tries to prove and the null hypothesis is the opposite of the alternative hypothesis.

Hypothesis testing

Hypothesis testing is conducted for the parameters of the population like population mean, population standard deviation and so on. It is to check whether the sample values conform to the prestated parameter values of the original distribution or not. The hypothesis for the single population mean is conducted using the z or t test. The selection of the test depends upon the value of the standard deviation.

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