Answered: Identify H0and Ha. Choose the correct…

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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Question

A weight loss program claims that program participants have a mean weight loss of at least

12 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4.

At α=0.08, do you have enough evidence to reject the program's claim? Complete parts (a) through (e).

5.1	6	6.1	6.5	7.4	7.8	7.8	8.2	8.2	8.4
8.8	9	9.1	9.4	9.8	9.8	10.3	10.4	10.6	10.7
11	11.1	11.6	11.6	11.6	12.1	12.5	12.7	13.3	15.9

(a) Identify H0and Ha.
Choose the correct answer below.

A. H0: μ≤12 Ha: μ>12

B.H0: μ<12 Ha: μ≥12

C. H0: μ>12 Ha: μ≤12

D. H0: μ≥12 Ha: μ<12

E. H0: μ=12 Ha: μ≠12

F. H0: μ≠12 Ha: μ= 12

Find the critical value(s). Select the correct choice below and fill in the answer box within your choice

the critical value is

The critical values are ±

q13

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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