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devlian [24]
3 years ago
15

Determine the critical value for a 98% confidence interval when the sample size is 12 for the t ‑distribution. Enter the positiv

e critical value rounded to 3 decimal places.
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

+2.718

Step-by-step explanation:

from the question,

the sample size is 12

therefore the degree of freedom,

df = 12 - 1

= 11

alpha = 1 - 0.98

= 0.02

this is because the confidence level is 98%

under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = <em>2.718</em>

<em>the</em><em> </em><em>crit</em><em>ical</em><em> </em><em>valu</em><em>e</em><em> </em><em>t</em><em>*</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>7</em><em>1</em><em>8</em>

<em>I </em><em>hop</em><em>e</em><em> </em><em>th</em><em>is</em><em> </em><em>helps</em><em>!</em>

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Put the numbers in order from smallest to largest to find the the five-number summary. 14, 18,28,29,32,44,48,50,65
dem82 [27]

Answer:

smallest number :14,18,28 29,32

largest number :65,50,48,44,32

4 0
3 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

4 0
3 years ago
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this​ paper?
Illusion [34]
59.4cm
Use Pythagorean theorem to find the diagonal (^ means exponent)
a^2 + b^2 = c^2
42^2 + 42^2= c^2
1764+1764=c^2
3528=c^2
square root both sides
c= 59.39696962
round and you get 59.4 cm
5 0
4 years ago
Evaluate the expression when r = 8.2 and s = –3.7.
kiruha [24]
When you plug in the numbers for the integers, you get
8.2-2(-3.7)
If you multiply -2 and -3.7, you get 7.4 because the negatives cancel each other out.
If you then add 8.2, you get 15.6. So the answer is D.
Hope it Helps!  :)
8 0
3 years ago
19 x 50 =_fifties. Please help me
ivanzaharov [21]
Nine hundred and fifty
3 0
3 years ago
Read 2 more answers
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