Answer:
Step-by-step explanation:
The research question is given as "Does chewing your food for a longer period of time reduce one's caloric intake of food atdinner?"
Here interest of study variable is "reduction of caloric intake of food at dinner".
For construction of confidence interval, the researcher records the calorie consumption at dinner.
Since calorie consumption is a variable, we need to construct confidence interval for mean.
So correct choice of sentences as "The confidence interval for a mean should be constructed because the variable of interest is an individual's reduction in caloric intake, which is a quantitative variable."
Answer:
0
Step-by-step explanation:
(x – y) – (x – y)
Distribute the minus sing
x-y-x+y
Combine like terms
x-x-y+y
0
Answer:
The volume of the cone = 28 inch³
Step-by-step explanation:
First let's consider the formula for the volume of the shapes
For cylinder
Volume= πr²h
For cone
Volume= 1/3 πr²h
So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.
So if the volume of the cylinder is
84π inch
The volume of the cone is 84/3 = 28
The volume of the cone = 28 inch³
Answer:
$4,264.00
Step-by-step explanation:
Given:250 sheep in a 40-acre pasture.Number of sheep grazing in each acre.
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
