What is the equation for the parabola with focus (2, 4) and directrix x = 1?

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to

Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

Let $\mu$ = population average weight of a cereal box

So, Null Hypothesis, $H_0$ : $\mu$ = 13 ounces {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 13 ounces {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average weight = 12.85 ounces

$\sigma$ = sample standard deviation = 0.75 ounces

n = sample of boxes = 36

So, test statistics = $\frac{12.85-13}{\frac{0.75}{\sqrt{36} } }$ ~ $t_3_5$

= -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0

3 years ago

Please help me out please

Marrrta [24]

Answer:

7x

On my opinion may be its 7x because don't know whats the answer just i want to help you if its wrong then plz sorry

7 0

3 years ago

Help with 25,27,and 28

dedylja [7]

Answer:

For 25, the answer is C

Step-by-step explanation:

How I got the answer for 25 is:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

How you do this is first you need to find the sum of the data values, (add all the numbers together) and divide the sum by the number of data values.(and divide that number by how many numbers you added together in the first place)

In this case, we'd be adding 44 + 39 + 47 + 38 + 38 + 41 + 40, and that equals 287. Now we'll divide 287 by how many numbers we added together, which is 7 numbers. 287 ÷ 7 = 41. That's the mean of the data set.

Next, we'll find the absolute deviation of the mean. How we do this is, we find how far away all the numbers are from 41.

44 is 3 away from 41

39 is 2 away from 41

47 is 6 away from 41

38 is 3 away from 41

41 is 0 away from 41

40 is 1 away from 41

So now, we add all of the distances together (3, 2, 6, 3, 0, and 1), and that equals 15! Now we do 15 ÷ 6, which is 2.5 and the reason we're dividing by 6 is because we're dividing by the number of distances we added together. Now, if you look on your worksheet, the closest answer to 2.5 is C, (2.6) so I'd chose that as the correct answer. I hope that helped!

4 0

3 years ago

Which polynomial expression are in standard form

postnew [5]

First and third, second can still be simplified.

7 0

3 years ago

A carton measuring 72 cm by 48 cm by 75 cm was packed with cyndrical tins of radius 6 cm and height 15 cm standing upright.How m

Ierofanga [76]

Answer:

milk

Step-by-step explanation:

7 0

3 years ago