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natka813 [3]
3 years ago
13

Find the appropriate percentile from a​ t-distribution for constructing the following confidence interval.

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer: 9.9248

Step-by-step explanation:

We know that the critical t- value for confidence interval is a two-tailed value from the t-distribution table corresponding to degree of freedom (df = n-1 , where n is the sample size) and the significance level (\alpha/2) .

The given confidence interval = 99%

⇒ Significance level = \alpha=100\%-99\%=1\%=0.01

Sample size : n=3

DEgree of freedom : df = n-1 = 2

Then, the  critical t- value for 99% confidence interval will be;

t_{\alpha/2, df}=t_{0.01/2,\ 2}

t_{0.005 , 2}=\pm9.9248   [From t-distribution table]

Hence, the appropriate percentile from a​ t-distribution for constructing the 99​% confidence interval with n = 3 is 9.9248.

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How many cubic feet will it take to fill the prism below
Effectus [21]

Answer:20

Step-by-step explanation:

3 0
3 years ago
The table shows a function. x 5  4  3  2  1  0 1 2 3   fx 11  3  5 13 21 29 37 45 53 (a) Is the function linear, expone
Andreyy89

Answer:

We have been given a table:

x: -5  -4  -3  -2  -1  0  1  2  3

f(x):-11  -3  5  13  21  29  37  45  53

Part (a) the function is linear the line is a straight line from two points given above

Function is: y+11=8(x+5)  from point (-5,-11)

                   y=8x+29

Part (b) adding 8 each time x increases by 1

Part (c) the function is y =8x+29

To find y-intercept put x =0 we get y=29

So, y-intercept is (0,29).

7 0
4 years ago
Which of the following is not a perfect square?<br> OA, 1<br> OB) 2<br> OC) 4<br> OD) 9
Burka [1]
B) 2
This is so because no number to the power of 2 has the result of 2

The other do
2x2 = 4
1x1 = 1
3x3 = 9
5 0
3 years ago
A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes. Together they can fix 20
lions [1.4K]
Suppose the time taken for the repairman to fix one pair of shoes is x, time taken by the assistant will be 1.5x. 
The number of shoes repaired by shoe man in an hour will be:
1/x 
the number of shoes prepared by assistant in 1 hour will be:
1/1.5x
the number of shoes repaired by both of them in 1 hour will be:
8/20
hence;
1/1.5x+1/x=8/20
2.5/(1.5x)=2/5
cross-multiplying our equation we get:
2.5*5=1.5x*2
7.5=3x
x=7.5/3
x=2.5 hours
therefore we conclude that it takes the repairman 2.5 hours to fix one pair of shoes.


5 0
4 years ago
Read 2 more answers
If ab = 9 and a² + b² = 81, then (a+b)² = ?​
Andre45 [30]

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

(a+b)^2=a^2+2ab+b^2

We have the a² and the b² in the equation a^2+b^2=81, and we <em>almost </em>have a 2ab in the equation ab=9. To get that 2ab, we can simply double both sides of the first equation to get 2ab=18. From there, we'll add the first two equations together, giving us the summed equation

a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99

And since (a+b)^2=a^2+2ab+b^2, we can equivalently say that

(a+b)^2=99

5 0
3 years ago
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