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Alborosie
2 years ago
11

A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 gra

ms. The graphs of the data and two types of hypothesis test output are provided below. Determine which output should be used and state the conclusion of this test at the 5% significance level.
Mathematics
1 answer:
Jlenok [28]2 years ago
6 0

Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

Hypothesis Test                       Fiber

Sample Mean                          2.62

Sample St. Dev                       3.492

Degrees of Freedom              24

t- test statistic                         0.1718

p- value                                    0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

Since the calculated t=   0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not  less than 2.5 grams.T

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The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the populat
LekaFEV [45]

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

\dfrac{14344}{10904} X 100

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

6 0
2 years ago
A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon, rounded to the ne
Lerok [7]

Answer:

332in^2

Step-by-step explanation:

The area of a regular polygon is calculated using the formula;

Area=\frac{1}{2}ap

where a is the apothem and p is the perimeter.

It was given that, the apothem is, a=10in. and the perimeter is p=66.3 in.

We substitute into the formula to obtain;

Area=\frac{1}{2}\times10\times66.3in^2

Area=331.5in^2

To the nearest square inch, we have;

Area=332in^2

4 0
2 years ago
Read 2 more answers
URGENT!! Please help Find the values of y=c(x) 3 square x, for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729 a
mojhsa [17]

Answer:

We have

$y=c(x)=\sqrt[3]{x} $

\text{for } x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, 0.729 \text{ and } 1

We have 10 points to find:

\text{Point A}(0, 0)

\text{Point B}(0.008, 0.2)

\text{Point C}(0.027, 0.3)

\text{Point D}(0.064, 0.4)

\text{Point E}(0.125, 0.5)

\text{Point F}(0.216, 0.6)

\text{Point G}(0.343, 0.7)

\text{Point H}(0.512, 0.8)

\text{Point I}(0.729, 0.9)

\text{Point J}(1, 1)

4 0
2 years ago
Solve the linear equation for x <br><br> -4.8(6.3x-4.18) =-58.56<br><br> X=
lyudmila [28]

Answer:

x= 2.6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
2 years ago
In a certain month, Oscar sells 6 cars more than Jackie. If together they sell 30 cars, how many cars did Jackie sell?
diamong [38]

Answer:

Jackie sold 12 cars.

Step-by-step explanation:

If we call the number of cars Oscar sold O, and the number of cars Jackie sold J, we can say the following:

O = J + 6

As Oscar sold 6 cars more than Jackie.

Together, they sold 30 cars.

O + J = 30

Since we know that:

O = J + 6

... we can put this into our previous equation.

O + J = 30

(J + 6) + J = 30

J + J + 6 = 30

2 * J + 6 = 30

Subtract 6 from both sides:

2 * J = 24

Divide both sides by 2:

J = 24 / 2

J = 12

Jackie sold 12 cars.

8 0
2 years ago
Read 2 more answers
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