## [answered] According to the historical data, the life expectancy in th

21. According to the historical data, the life expectancy in the United States is less than the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of individuals from the United States who died recently are selected at random. The individuals lived a mean of deviation of years. Records of years with a standard individuals from Ireland who died recently are selected at random and independently. The individuals lived a mean of years with a standard deviation of years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a , the difference between the life expectancy life expectancy confidence interval for

in the United States and the in Ireland. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) What is the lower limit of the 99%

confidence interval?

What is the upper limit of the 99%

confidence interval 22. According to the historical data, the life expectancy in Argentina is equal to the life expectancy in Bolivia. A new study has been made to see whether this has changed. Records of individuals from Argentina who died recently are selected at random. The individuals lived an average of years with a standard deviation of years. Records of individuals from Bolivia who died recently are selected at random and independently. The individuals lived an average of years with a standard deviation of years. Assume

that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the

level of significance, is there enough evidence to support the claim that the life expectancy, , in Argentina is not equal to the life expectancy, Perform a two?tailed test. Then fill in the table below , in Bolivia anymore? Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H 0:= The alternative hypothesis: H 1:=

The type of test statistic: z___

T____ Degrees of freedom_______ Chi Square________

F_____ dfn:____ dfd: ________ The value of the test statistic:

(Round to at least three decimal places.)______

The p-value:

(Round to at least three decimal places.)________

Can we support the claim that the life expectancy in Argentina is not equal to the life expectancy in Bolivia?

Yes______ No________ 20. The breaking strengths of cables produced by a certain manufacturer have a mean, , of pounds, and a standard deviation of pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be pounds. Can we support, at the level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one?tailed test. Then fill in the table below

The null hypothesis: H 0:= The alternative hypothesis: H 1:=

The type of test statistic: z___

T____ Degrees of freedom_______ Chi Square________

F_____ dfn:____ dfd: ________ The value of the test statistic:

(Round to at least three decimal places.)______

The p-value:

(Round to at least three decimal places.)________

Can we support the claim that the life expectancy in Argentina is not equal to the life expectancy in Bolivia?

Yes______ No________ 19. A decade?old study found that the proportion of high school seniors who felt that &quot;getting rich&quot; was an important personal goal was . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis use for this test.

H 0:=

H 1= and the alternative hypothesis that we would

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