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Likurg_2 [28]
3 years ago
12

When the sample size and sample standard deviation remain the same, a 99% confidence interval for a population mean, µ will be n

arrower than the 95% confidence interval for µ?
Mathematics
1 answer:
motikmotik3 years ago
5 0
A 99% confidence interval will be wider compared to a 95% confidence interval. This is because while you don't know what the true value of mu is, you are more confident that the parameter is in the interval.

In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.
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What percent of 67 is 33? Round to the nearest tenth of a percent
julia-pushkina [17]
We will make a proportion:
67 : 33 = 100 : x
67 x = 33*100
67 x= 3300
x= 3300/97= 49.2537
Round to the nearest tenth:
Answer: 49.3%.
3 0
3 years ago
Which ones are polynomials? Plz hurry
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4 years ago
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7 0
3 years ago
Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students
VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = \dfrac{x}{4}

If the number of students = 5

Fraction of students absent = \dfrac{x}{5}

And Jen came back,

So, the fraction of student absent is also written as

\dfrac{x}{4}-1

According to question, it becomes,

\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20

Hence, there are 20 students in our school.

And number of students are not here today is \dfrac{20}{5}=4

3 0
3 years ago
Tell wether the given value is a solution of the inequality.
Lena [83]
N is a placeholder for a number. In this case, it is 4

We will replace every copy of 'n' with '4' and then simplify

So n+8 turns into 4+8 which simplifies to 12

Is 12 less than or equal to 13? Yes it is. Specifically it is less than 13. So n = 4 is part of the solution set.

Here is how you'd write it all out using algebra

n+8 \le 13

4+8 \le 13

12 \le 13

The last inequality is true so the first inequality is true when n = 4. This is another way to see that n = 4 is a solution.
3 0
3 years ago
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