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aleksandr82 [10.1K]
3 years ago
14

Please answer this! Thanks!

Mathematics
1 answer:
Leto [7]3 years ago
3 0

[ [13.9] ] - [ [-8.23] ] +[ [7.04+6.7] ]=35.87

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A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se
Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0
3 years ago
How expanded form 7915
Aleksandr [31]
THE EXPANDED FORM IS
7,000+900+10+5
4 0
3 years ago
There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library?
Sidana [21]
(4^9)^5 \cdot 4^0=4^{9*5} \cdot 1=4^{45}
3 0
3 years ago
Find the nth term of this sequence, 3, 6, 9, 12
miss Akunina [59]

Answer:

\large\boxed{\sf n^{th} \ term =3n}}

Step-by-step explanation:

Find common difference from subtracting any term in the sequence with the previous term.

\large{\sf 6-3}=3

Apply nth term formula.

\large{\sf a_n=a_1+(n-1)d

\large{\sf d=3 \ \ a_1=3}

\large{\sf a_n=3+(n-1)3

\large{\sf a_n=3+3n-3

\large{\sf a_n=3n}

3 0
3 years ago
Read 2 more answers
Theo used to drive 60 miles to work each day. His new home is now 20 miles away
posledela

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

8 0
2 years ago
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