2. If these samples can be viewed as SRSs, then under h0:1=2, a difference in th

Question

2. If these samples can be viewed as SRSs, then under h0:1=2, a difference in the sample means as great as the one observed is _____ standard errors below expected. (Give your answer to three decimal places.)
3. A more extreme difference would have occurred by chance alone about ____% of the time under repeated sampling. (Give your answer to two decimal places.)

. (21.08) Do women and men differ in how they perceive their life expectancy? A researcher asked a sample of men and women to indicate their life expectancy. This was compared with values from actuarial tables, and the relative percent difference was computed (perceived life expectancy minus life expectancy from actuarial tables was divided by life expectancy from actuarial tables and converted to a percent). Here are the relative percent differences for all men and women over the age of 70 in the sample Men -2823 -20 -19-14 -13 Women -20-19 -15 -12 -10-8-5 Figure 21.5 shows output for the two-sample test using Option 1. (This output is from Crunchlt! software, which does Option 1 without rounding or truncating the degrees of freedom.) Do men and women over 70 years old differ in their perceptions of life expectancy? Using the output in Figure 21.5, write a summary in a sentence or two, including t, df, p, and a conclusion Results -t2-Sample Export Null hypothesis: ference of Alternative hypothesis: Difference of means is not 0 Sex Std Dev Sample Mean n M 5.612 19.50 F 5.589 12.71 df: Difference of means: -6.786 t statistic: P-value 10.68 0.05281

Explanation / Answer

(1).... men underestimated .......19.5% while women ........12.71%.( sample mean of men and women)

(2) If these samples ...........is 2.177 standard error below expected.( here answer is value of t-statistc)

(3)A more........about 5.28 % of the time under repeated sampling. ( here answer is p-value)

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