Suppose the average weight of all TAMU women is 145 pounds w

Suppose the average weight of all TAMU women is 145 pounds with a standard deviation of 18 pounds. Suppose the average weight of all UT women is 152 pounds with a standard deviation of 11 pounds. Which of the following is true about the sampling distribution of the average sample weight of samples of TAMU women and samples of UT women? I. Suppose we take multiple random samples of 10 TAMU women and multiple random samples of 10 UT women. For all the samples we calculate the sample mean so we have multiple sample means (one for each sample of size 10.) We expect greater variability in the values of the sample means calculated from the samples of TAMU students compared to the variability in the values of the sample means calculated from the samples of UT students. II. For random samples of TAMU women, if we increased the sample size from 10 to 25, the variability in the sample means would decrease. III. We expect the value of X of every random sample of 100 TAMU woman to be closer to 145 than the X value of any random sample of lo TAMU women. Only I and II are true Only I is true Only II is true All are true Only II and III are true None are true

Solution

I & II are true.

Std Deviation in case of Tamu Women is greater.

As we increase the sample size, the variability in the means would start to decrease.

For III we cannot say this for every random sample of 100 Women.