Answered: A market research firm reported the…

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 market research firm reported the mean annual earnings of all family practitioners in the United States was . A random sample of family practitioners in Los Angeles had mean earnings of with a standard deviation of . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the level of significance and the -value method with the TI-84 Plus calculator. 0. What is t value 1.what is p value 2.what is critical value 3. Do we reject 4. State conclusion

Is there a doctor in the house? A market research firm reported the
mean annual earnings of all family practitioners in the United States was
$178,258. A random sample of 52 family practitioners in Los Angeles had mean
earnings of =$193,130 with a standard deviation of $42,047. Do the data provide
sufficient evidence to conclude that the mean salary for family practitioners
in Los Angeles is greater than the national average? Use the α=0.10 level of
significance and the P-value method with the TI-84 Plus calculator.
Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
Ho: μ = 178,258
H₁: > 178,258
This hypothesis test is a right-tailed
Part: 1 / 5
Part 2 of 5
test.
(b) Compute the value of the test statistic. Round the answer to two
decimal places.
X

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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