a) Which of the following correctly specifies the null hypothesis? [select all that apply]b) Which of the following correctly specifies the alternative hypothesis? [select all that apply]c) Calculate and report the standard error for the sampling distribution for the difference in means. Scenario: A researcher believes that foodservers in her city who are women earn lessthan food servers who are men. She surveysfood servers in her city and finds that amonga random sample of 32 women, the meanyearly salary was $37,800 with a standarddeviation of $1,000. The mean salary for arandom sample of 41 men was $38,600 witha standard deviation of $1,300. Conduct ahypothesis test to assess the researcher'sclaim. Let a=.01. Ho : Hm - Hw = 0Họ : Hm - Hw # 0There is no difference in the mean salaries ofmen and woman food servers in this city.There is a difference in the mean salaries ofmen and woman food servers in this city.

Given Data : For Sample 1 x̄1 = 38600.0 s1 = 1300.0 n1 = 41 For Sample 2 x̄2 = 37800.0 s2 = 1000.0 n2 = 32 Significance level, α= 0.01Solution : a) Claim : Food servers in her city who are women earn less than food servers who are men. Let u1 be the mean salary of men and u2 be the mean salary of women. Hypothesis test : The null hypothesis is Ho : um - uw = 0 B) The alternative hypothesis is Ha : um - uw > 0C) Standard error : Se = 269.2016

Answered: Scenario: A researcher believes that…

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) Which of the following correctly specifies the null hypothesis? [select all that apply] b) Which of the following correctly specifies the alternative hypothesis? [select all that apply] c) Calculate and report the standard error for the sampling distribution for the difference in means.

Scenario: A researcher believes that food
servers in her city who are women earn less
than food servers who are men. She surveys
food servers in her city and finds that among
a random sample of 32 women, the mean
yearly salary was $37,800 with a standard
deviation of $1,000. The mean salary for a
random sample of 41 men was $38,600 with
a standard deviation of $1,300. Conduct a
hypothesis test to assess the researcher's
claim. Let a=.01.

Ho : Hm - Hw = 0
Họ : Hm - Hw # 0
There is no difference in the mean salaries of
men and woman food servers in this city.
There is a difference in the mean salaries of
men and woman food servers in this city.

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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