A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.0 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee μ dispensed by the machine is less than 7.0 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. BIG gathers a random sample of 150 amounts of coffee dispensed by the machine.Suppose that the population of amounts of coffee dispensed by the machine has a standard deviation of 0.8 ounces and that BIG performs its hypothesis test using the 0.05 level of significance. Based on this information, answer the questions below. н :р isWhat are the null and alternative hypotheses that BIGshould use for the test?н : р isWhat is the probability that BIG rejects the nullhypothesis when, in fact, it is true? Round your response |||to at least two decimal places.Assuming that the actual value of u is 6.86 ounces, whatis the probability that BIG accepts the null hypothesis?Round your response to at least two decimal places.The power of the second test is greater than the power ofthe original testSuppose that BIG decides to perform another statisticaltest using the same population, the same null andalternative hypotheses, and the same sample size, butfor this second test BIG uses a significance level of 0.1instead of a significance level of 0.05. Assuming that theactual value of u is 6.86 ounces, how does the power ofthis second test compare to the power of the originaltest?The power of the second test is less than the power of theoriginal testThe powers of the two tests are equal

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Description: A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.0 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.

The null and alternative hypotheses that BIG should use for the test are; The probability of…

Answered: н :р is What are the null and…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of

7.0

ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee

dispensed by the machine is less than

7.0

ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. BIG gathers a random sample of

150

amounts of coffee dispensed by the machine.

Suppose that the population of amounts of coffee dispensed by the machine has a standard deviation of

0.8

ounces and that BIG performs its hypothesis test using the

0.05

level of significance.

Based on this information, answer the questions below.

н :р is
What are the null and alternative hypotheses that BIG
should use for the test?
н : р is
What is the probability that BIG rejects the null
hypothesis when, in fact, it is true? Round your response |||
to at least two decimal places.
Assuming that the actual value of u is 6.86 ounces, what
is the probability that BIG 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 BIG 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 BIG uses a significance level of 0.1
instead of a significance level of 0.05. Assuming that the
actual value of u is 6.86 ounces, 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

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