The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124 whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89 nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: a. Is it safe to assume that nw < 5 % of all white people born in 1900 and nnw < 5 % of all nonwhite people born in 1900? O No O Yes b. Is nw > 30 and nnw 2 30 ? No O Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: µw ? v Hnw Ha: Hw ? v lnw b. Determine the test statistic. Round to four decimal places.

The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124 whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89 nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: a. Is it safe to assume that nw < 5 % of all white people born in 1900 and nnw < 5 % of all nonwhite people born in 1900? O No O Yes b. Is nw > 30 and nnw 2 30 ? No O Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: µw ? v Hnw Ha: Hw ? v lnw b. Determine the test statistic. Round to four decimal places.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for
whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected
death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124
whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89
nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis
test at the 0.05 level of significance to determine whether there was no difference in mean life spans in
the county for whites and nonwhites in year 1900.
Preliminary:
a. Is it safe to assume that
nw < 5 % of all white people born in 1900 and
nnw < 5 % of all nonwhite people born in 1900?
No
O Yes
b. Is nw 2 30 and nnw > 30 ?
No
O Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Hw ? Mnw
Ha: Hw ? v Hnw
b. Determine the test statistic. Round to four decimal places.
t

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