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Lubov Fominskaja [6]
3 years ago
6

Kayak: $329.95, 33% off

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

$221.0665 so $221.07

Step-by-step explanation:

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A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products
tester [92]

Answer:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=22 represent the sample mean

\mu population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size  

ME = 2 represent the margin of error accepted

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (3)

We can use as estimator for the population deviation the sample deviation \hat \sigma = s

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.640, replacing into formula (3) we got:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

6 0
3 years ago
A soup recipe calls for 2 3/4 quarts of vegetable broth.An open can of broth contains 1/2 quart of broth.How much more do you ne
Annette [7]
1/2 - 2/4

2 3/4 - 2/4 + 2 1/4 still needed
5 0
2 years ago
Read 2 more answers
STUDENT HOURS KATY 5.5
mario62 [17]
The best answer to go with is b
4 0
2 years ago
Please look at number 10. from the slope and write the equation for me
kompoz [17]

Answer:

y = 8x + 38

Step-by-step explanation:

To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)

   y = mx + b

   y = 8x + b

   6 = 8(-4) + b

   6 = -32 + b

+32   +32

 38 = b

So using our slope and our intercept we have our slope intercept

y = mx + b

y = 8x + 38

Hope this helps :)

7 0
3 years ago
Read 2 more answers
The first steps in writing f(x) = 3x^2 -24x+10 in vertex form what is the function written in vertex form
Vika [28.1K]
F(x) = 3(x-4)^2-38 because finding the perfect square would get you f(x)+38=3(x^2-8x+16) and then finding the squareroot of that and moving the constant on the left back to the right would leave u with f(x)=3(x-4)^2-38
4 0
3 years ago
Read 2 more answers
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