This question is on the relationship between confidence intervals and hypothesis testing. Suppose, you wish to use a random sample to conduct the one-sample two-sided t-test for the mean and test the following hypotheses: H0: μ = 98.5 vs. H1: μ ≠ 98.5, at the significance level of 0.01. The 99% confidence interval for the mean calculated by using this sample is [85, 97]. Based on this confidence interval your decision will be (choose one answer): Accept H0Reject H0None of the above This question is on the relationship between confidence intervals and hypothesis testing. Suppose, youwish to use a random sample to conduct the one-sample two-sided t-test for the mean and test thefollowing hypotheses:HO: u = 98.5 vs. H1: u + 98.5, at the significance level of 0.01.The 99% confidence interval for the mean calculated by using this sample is [85, 97]. Based on thisconfidence interval your decision will be (choose one answer):A. Accept HOB. Reject HOC. None of the above

The random variable X follows normal distribution. We have to test whether the population mean…

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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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This question is on the relationship between confidence intervals and hypothesis testing. Suppose, you wish to use a random sample to conduct the one-sample two-sided t-test for the mean and test the following hypotheses:

H0: μ = 98.5 vs. H1: μ ≠ 98.5, at the significance level of 0.01.

The 99% confidence interval for the mean calculated by using this sample is [85, 97]. Based on this confidence interval your decision will be (choose one answer):

Accept H0
Reject H0
None of the above

This question is on the relationship between confidence intervals and hypothesis testing. Suppose, you
wish to use a random sample to conduct the one-sample two-sided t-test for the mean and test the
following hypotheses:
HO: u = 98.5 vs. H1: u + 98.5, at the significance level of 0.01.
The 99% confidence interval for the mean calculated by using this sample is [85, 97]. Based on this
confidence interval your decision will be (choose one answer):
A. Accept HO
B. Reject HO
C. None of the above

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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