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 117 whites surveyed, the mean life span was 46.7 years with a standard deviation of 11.4 years and of the 86 nonwhites, the mean life span was 38.4 years with a standard deviation of 15.4 years. Conduct a hypothesis test at the 0.1 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 n, < 5% of all white people born in 1900 and nnw 5% of all nonwhite people born in 1900? O Yes O No b. Is T, 2 30 and nnw 30? O No O Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: Pu ? V Anw H.: H ? V b. Determine the test statistic. Round to four decimal places. t%3D c. Find the p-value. Round to 4 decimals. P-value = d. Make a decision. OFail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans. O There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans.

Q: The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6…

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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!