Previous studies have reported that elite athletes are often deficient in their nutritional intake (for example, total calories, carbohydrates, protein), a group of researchers decided to evaluate canadian high-performance athletes. a total of n = 50 male athletes from eight canadian sport centers were surveyed. the average caloric intake was 3077.0 kilocalories/day with a sample standard deviation of 987.0. the recommended amount is 3421.7. construct a 95% confidence interval. use interval notation and round to two decimal places, (.xx, .xx).

(3138.29, 3705.11)

Step-by-step explanation:

Given that for sample size of n = 50 male athletes from eight Canadian sport centers  surveyed, the average caloric intake was 3077.0 kilocalories/day with a sample standard deviation of 987.0.

The recommended amount = 3421.70

To construct 95% confidence interval

Since population std deviation is not known we use t critical value for degree of freedom 50-1 =49

t critical = 2.010

Hence margin of error =

Confidence interval lower bound =

Confidence interval upper bound =

Conf interval =

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4