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Aliun [14]
3 years ago
15

0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl

e of 8 cereal bars of this brand, the saturated fat content was 0.6, 0.7, 0.7, 0.3, 0.4, 0.5, 0.4, and 0.2. Would you agree with the claim? Assume a normal distribution
Mathematics
1 answer:
balandron [24]3 years ago
7 0

Answer:

<em>The first step is to determine the average </em>

x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475

<em>The exercise says it’s a normal distribution: (n=8)</em>

s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183

<em>According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained </em>

<em />

t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\  t= -0,3860

<em>The variable t has 7 grade to liberty, we calculate the p-value as: </em>

2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108

This value is very high, therefore the hypothesis is not rejected

You might be interested in
The gcf of two numbers less than or equal to 12 is 2. Their LCM is 20.What are the numbers?
bixtya [17]

We know:

LCM(a,\ b)=\dfrac{ab}{GCF(a,\ b)}

We have

GCF(a,\ b)=2,\ LCM(a,\ b)=20,\ a\leq12,\ b\leq12

Substitute:

20=\dfrac{ab}{2}\qquad|\cdot2\\\\ab=40

40=1\cdot40=2\cdot20=4\cdot10=5\cdot8

Only 4 and 10 meet the requirements of the question.

--------------------------------------------------------------------

40 and 1 NOT, because 40 > 12

20 and 2 NOT, because 20 > 12

5 and 8 NOT because GCF(5, 8) = 1

5 0
3 years ago
How many #5 cans of potato salad are required to serve 210 people if each can has 3 pounds 8 ounces of potato salad and each ser
9966 [12]
210 times 5 then divided by 3.8
so rounding up, 277 cans
5 0
3 years ago
a figure was rotated around a vertical line segment resulting in the object below. which of the figues was rotated
oksano4ka [1.4K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
A toy store wants to give away free goody bags to their customers. They have 60 lollipops and 72 stickers to give away. They wan
Flura [38]

60 because each bag has to be the same

5 0
3 years ago
1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati i
xeze [42]

Answer:

1.  0.8 cm

2.  1.6 cm

Step-by-step explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

\frac{80}{50}=1.6

That is 1.6 centimeters

7 0
2 years ago
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