A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?1 − ?2, or p1 − p2, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H0. For example, consider a two-tailed hypothesis test with ? = 0.01 andH0: ? = 21H1: ? ≠ 21A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3.(a) What is the value of c = 1 − ?? Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.)lower limit upper limit

The sample size is 30, the sample mean is 22 and the population standard deviation is 3.

Answered: A corresponding relationship between…

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 corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?₁ − ?₂, or p₁ − p₂, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H₀. For example, consider a two-tailed hypothesis test with ? = 0.01 and

H₀: ? = 21
H₁: ? ≠ 21

A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3.

(a) What is the value of c = 1 − ??

Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.)

lower limit
upper limit

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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