Distillation is a process for separating and collecting substances according to their reaction to heat. when heat is applied to a mixture, the substance that evaporates and is collected as it cools is the distillate. the unevaporated portion of the mixture is the residue. oil obtained from orange blossoms through distillation is used in perfume. suppose the oil yield is normally distributed. in a random sample of eleven distillations, the sample mean oil yield was 980.2 grams with sample standard deviation 27.6 grams. if possible, answer (a) to (d). if not possible, explain.(a) find the point estimate.(b) find the standard error.(c) find the margin of error at the 99% confidence level.(d) find and interpret the 99% confidence interval.

a:  980.2

b:  26.4

c:  2.7%

d:  953.8 < µ < 1006.4

Step-by-step explanation:

We need to construct a 99% confidence interval from our sample data.  The sample size is 11, so we will use t-distribution.  Our degrees of freedom are 10, our t-value we will need is: 3.169

x = 980.2, s = 27.6

We will use these values to construct the confidence interval

See attached photo for the construction of the confidence interval...

A point estimate is the the sample mean of 980.2

The standard error is 26.4 (calculated on the attached photo)

The margin of error is how many percent the confidence interval may be off by.  In this case, it's 26.4/980.2 = 0.0269, or 2.7%

The meaning of the confidence interval tells us that we are 95% sure that the true population mean is within the range of 953.8 to 1006.4 grams

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet