A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.The hypotheses used were:H0: µ = 30Ha: µ > 30A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.Which of the following is correct?a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089.d) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089. A hypothesis test was conducted, at a = 0.05, to determine whether a certainchemical compound lasts longer than 30 seconds under a certain specifiedcondition.The hypotheses used were:Ho: u = 30H3: H > 30A sample mean of 37.4 seconds was obtained from a sample of size n = 80. Allstatistical assumptions were met, and a p-value of p = 0.0089 was obtained.Which of the following is correct?O If the null hypothesis were in reality true that the population mean was equal to 30,then the probability of observing a sample mean of 37.4 seconds from a sample ofsize n = 80 would be only .0089.O If the null hypothesis were in reality false that the population mean was equal to 30,then the probability of observing a sample mean of 37.4 seconds (or less) from asample of size n = 80 would be only.0089.If the null hypothesis were in reality true that the population mean was equal to 30,then the probability of observing a sample mean of 37.4 seconds (or greater) from asample of size n = 80 would be only .0089.O If the null hypothesis were in reality false that the population mean was equal to 30,then the probability of observing a sample mean of 37.4 seconds (or greater) from asample of size n = 80 would be only .0089.

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Description: A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.The hypotheses used were:H0: µ = 30Ha: µ > 30A sample mean of 37.4 seconds was obtained fr

Population mean , µ = 30 seconds. Sample mean , x̅ = 37.4 seconds. Sample size , n = 80. The…

A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition. The hypotheses used were: H0: µ = 30 Ha: µ > 30 A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained. Which of the following is correct? a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089. b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089. c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089. d) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089.

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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A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.

The hypotheses used were:

H₀: µ = 30

H_a: µ > 30

A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.

Which of the following is correct?

a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.

b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.

c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089.

d) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from a sample of size n = 80 would be only .0089.

A hypothesis test was conducted, at a = 0.05, to determine whether a certain
chemical compound lasts longer than 30 seconds under a certain specified
condition.
The hypotheses used were:
Ho: u = 30
H3: H > 30
A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All
statistical assumptions were met, and a p-value of p = 0.0089 was obtained.
Which of the following is correct?
O If the null hypothesis were in reality true that the population mean was equal to 30,
then the probability of observing a sample mean of 37.4 seconds from a sample of
size n = 80 would be only .0089.
O If the null hypothesis were in reality false that the population mean was equal to 30,
then the probability of observing a sample mean of 37.4 seconds (or less) from a
sample of size n = 80 would be only.0089.
If the null hypothesis were in reality true that the population mean was equal to 30,
then the probability of observing a sample mean of 37.4 seconds (or greater) from a
sample of size n = 80 would be only .0089.
O If the null hypothesis were in reality false that the population mean was equal to 30,
then the probability of observing a sample mean of 37.4 seconds (or greater) from a
sample of size n = 80 would be only .0089.

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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