A report Included the following Informatlon on the helghts (in.) for non-Hispani

Question

A report Included the following Informatlon on the helghts (in.) for non-Hispanic whlte females. Sample Sample Std. Error Age 20-39 60 and older Size 863 931 Mean 63.7 62.2 Mean 0.09 0.11 Calculate a confidence interval at confidence level approximately 95% or the difference between population mean height or the younger women and that or the older women. Use 20 39 a 60 and older Interpret the interval ·We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval. ·We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval ·We cannot draw a conclusion from the given information. we are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval (b) LetM1 denote the population mean height for those aged 20-39 and 2 denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: 1-2-1 and H. 1-2 > 1. Ihe null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. Ihe alternative hypothesis states that the true mean height for younger women is inch higher than for older women. The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than Inch higher than for older women. The null hypothesis states that the true mean helght for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 1 higher tha for yonger wornen The nul hypothesis states that the true mean height or older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 in higher than tor younger women. Carry out a test o these hypotheses at significance level 0.001. Calculate the test statistic and determine the p value. Round your test statistic to two decimal places and your value to our decimal places P value-

Explanation / Answer

a)

Interpret the interval : option (A)

b.

Null and alternate hypothesis: Option (B)

p-value = 0.0002

x1(bar) 63.70 x2(bar) 62.20 s1 2.64 s2 3.36 n1 863 n2 931 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 0.0081 (s22/n2) 0.0121 SE 0.1421

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