A sample of 23 women athletes, aged 20 was taken. The systolic blood pressure of these women had an average of 112 with a standard deviation of 3.3. Calculate a 90% confidence interval for the average systolic blood pressure of 20-year old women athletes.

Step-by-step explanation:

average of 112 with a standard deviation of 3.3. Calculate a 90% confidence interval for the average systolic blood pressure of 20-year old women athletes.

From the above question

Number of samples = 23 , less than 30,

Hence, we find confidence interval using t score

Confidence Interval using t score =

Mean + t score × standard deviation/√n

Step 1

We find the degree of freedom

= N - 1

= 23 - 1

= 22

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt