H : u is?What are the null and alternative hypotheses that theresearcher should use for the test?Η, : μ is1?What is the probability that the researcher commits aType I error? Round your response to at least twodecimal places.Assuming that the actual value of u is 139 mm Hg, whatis the probability that the researcher accepts the nullhypothesis? Round your response to at least two decimalplaces.The power of the second test is greater than the power ofthe original testSuppose that the researcher decides to perform anotherstatistical test using the same population, the same nulland alternative hypotheses, and the same sample size,but for this second test the researcher uses asignificance level of 0.1 instead of a significance level of0.01. Assuming that the actual value of u is 139 mm Hg,how does the power of this second test compare to thepower of the original test?The power of the second test is less than the power of theoriginal testThe powers of the two tests are equal A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. Hebelieves that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in apossibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 150CEOS of major corporations.Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 16 mm Hg and that theresearcher performs his hypothesis test using the 0.01 level of significance.Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round yourresponses as indicated.(If necessary, consult a list of formulas.)

Population mean μ=136 mm Hg Population SD σ=16 mm Hg n=150

Н : u is ? ? What are the null and alternative hypotheses that the researcher should use for the test? Н. : и is 1 ? ? What is the probability that the researcher commits a Type I error? Round your response to at least two decimal places. Assuming that the actual value of u is 139 mm Hg, what is the probability that the researcher accepts the null hypothesis? Round your response to at least two decimal places. The power of the second test is greater than the power of the original test Suppose that the researcher decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the researcher uses a The power of the second test is less than the power of the original test significance level of 0.1 instead of a significance level of 0.01. Assuming that the actual value of u is 139 mm Hg, how does the power of this second test compare to the power of the original test? The powers of the two tests are equal

Н : u is ? ? What are the null and alternative hypotheses that the researcher should use for the test? Н. : и is 1 ? ? What is the probability that the researcher commits a Type I error? Round your response to at least two decimal places. Assuming that the actual value of u is 139 mm Hg, what is the probability that the researcher accepts the null hypothesis? Round your response to at least two decimal places. The power of the second test is greater than the power of the original test Suppose that the researcher decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the researcher uses a The power of the second test is less than the power of the original test significance level of 0.1 instead of a significance level of 0.01. Assuming that the actual value of u is 139 mm Hg, how does the power of this second test compare to the power of the original test? The powers of the two tests are equal

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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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

H : u is
?
What are the null and alternative hypotheses that the
researcher should use for the test?
Η, : μ is
1
?
What is the probability that the researcher commits a
Type I error? Round your response to at least two
decimal places.
Assuming that the actual value of u is 139 mm Hg, what
is the probability that the researcher accepts the null
hypothesis? Round your response to at least two decimal
places.
The power of the second test is greater than the power of
the original test
Suppose that the researcher decides to perform another
statistical test using the same population, the same null
and alternative hypotheses, and the same sample size,
but for this second test the researcher uses a
significance level of 0.1 instead of a significance level of
0.01. Assuming that the actual value of u is 139 mm Hg,
how does the power of this second test compare to the
power of the original test?
The power of the second test is less than the power of the
original test
The powers of the two tests are equal

A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He
believes that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in a
possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 150
CEOS of major corporations.
Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 16 mm Hg and that the
researcher performs his hypothesis test using the 0.01 level of significance.
Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your
responses as indicated.
(If necessary, consult a list of formulas.)

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