grandma's cake recipe calls for 2 cups of flour and 3 ounces of oil.how many ounces of oil would be needed for 15 cups of flour?

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

$n = 61.5$

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0

3 years ago

How much faster was jose jogging than edwin was walking in miles per hour

Elan Coil [88]

Answer:

there is not enough info to answer this

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Mrs. Frasier is making costumes for the school play. Each costume requires 3/4 yards of fabric. She bought 6 yards of fabric. Ho

kodGreya [7K]

Answer:

8 costumes

Step-by-step explanation:

Take the total amount of fabric and divide by the amount per costume

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2 *4

8

She can make 8 costumes

6 0

3 years ago

Which relationships are likely to have a positive association? .

uysha [10]

Answer:

A, C

Step-by-step explanation:

A. the distance traveled on a trip and the travel time YES

B. the distance remaining on a trip and the travel time NO

C. the amount of money spent and the the number of shirts bought YES

D. the height of an eighth-grade student and the time to complete a puzzle NO

E. the amount of money owed on a computer and the time making payments NO (the amount of money owed drops with each payment made)

7 0

2 years ago

You are taking a trip at the same time as another family. Your family traveled 1,900 miles in 2 days, their family traveled 2,70

makkiz [27]

The other family is traveling at 900 miles per day while your family is traveling at 950 miles per day. So your family is traveling faster.

6 0

3 years ago