11/9/2020 MyOpenMath 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 selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 118 whites surveyed, the mean life span was 46 years with a standard deviation of 11.8 years and of the 95 nonwhites, the mean life span was 37.9 years with a standard deviation of 14 years. Conduct a hypothesis test at the 0.01 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Suppose a survey of randomly 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

11/9/2020 MyOpenMath 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 selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 118 whites surveyed, the mean life span was 46 years with a standard deviation of 11.8 years and of the 95 nonwhites, the mean life span was 37.9 years with a standard deviation of 14 years. Conduct a hypothesis test at the 0.01 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Suppose a survey of randomly 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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

11/9/2020
MyOpenMath
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 118 whites surveyed, the mean life span was 46 years with a standard deviation of 11.8 years and
of the 95 nonwhites, the mean life span was 37.9 years with a standard deviation of 14 years. Conduct a
hypothesis test at the 0.01 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
Yes
b. Is ny > 30 and nnw 2 30 ?
Yes
No
Test the claim:
a. Determine the null and alternative hypotheses.
Họ: Hw ? V Hnw
Ha: Hw ? V Hnw
b. Determine the test statistic. Round to four decimal places.
t
c. Find the p-value. Round to 4 decimals.
p-value =
d. Make a decision.
Fail to reject the null hypothesis.
Reject the null hypothesis.
e. Write the conclusion.
There is sufficient evidence to support the claim that whites and nonwhites have different
mean life spans.
There is not sufficient evidence to support the claim that whites and nonwhites have
different mean life spans.
https://www.myopenmath.com/assess2/?cid=80488&aid3D5754730#/print
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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 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 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: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…
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