16. The distribution of height for a certain population of women is approximately normal with mean
65 inches and standard deviation 3.5 inches. Consider two different random samples taken from the
population, one of size 5 and one of size 85. Which of the following is true about the sampling
distributions of the sample mean for the two sample sizes?
a. Both distributions are approximately normal with mean 65 and standard deviation 3.5.
b. Both distributions are approximately normal. The mean and standard deviation for size 5 are
both less than the mean and standard deviation for size 85.
C. Both distributions are approximately normal with the same mean. The standard deviation for
size 5 is greater than that for size 85.
d. Only the distribution for size 85 is approximately normal. Both distributions have mean 65 and
standard deviation 3.5.
e. Only the distribution for size 85 is approximately normal. The mean and standard deviation
for size 5 are both less than the mean and standard deviation for size 85.

it has to be a.

depends on how many days you are talking about

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.