Order the following expressions by their values from least to greatest.

Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

4 years ago

A sequence is defined by

garik1379 [7]

I believe the answer is D.

3^2 is 9 and 4^2 is 16, and because 9/16 was the third term in the sequence, you raise both the numerator and the denominator by the number of the term minus 1.

So to find the seventh term, you raise the numerator and denominator by 7 - 1 = 6.

So the answer is 729/4096

5 0

3 years ago

Read 2 more answers

Please help me find the y intercept

Stolb23 [73]

Answer:

-4

Step-by-step explanation:

'cause yan Ang answer

6 0

3 years ago

1. Label the place value charts. Fill in the blanks to make the following equations true. Draw disks in the

ivanzaharov [21]

[1] (a) 10 times 4 ones = 10 x 4 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 times hundred times 10 = 50 hundreds = 50

[2] (a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds / 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

<h3>What Is Place Value in Math? </h3>

Place value is the base of number system. This is that system in which the position of a digit in a number tells/determine its value. The number 41,316 is different from 51,432 because the digits are in different positions.

The place value of 4 in 41,316 is 10 thousands and place value of 4 in 51,432 is 1 hundred.

we can also find the place value by multiplying the required number of 10.

for ones → multiply by 1

for tens → multiply by 10

for hundreds → multiply by 100

for thousands → multiply by 1000

for ten thousands → multiply by 10000

Here we have given

[1]

(a) 10 times 4 ones which is equal to 40 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 hundreds times 10 = 50 hundreds = 50

[2]

(a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds or 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

Hence,

[1] (a) 10 times 4 ones = 10 x 4 ones = 40

(b) 10 times 2 tens = 2 tens = 20

(c) 5 times hundred times 10 = 50 hundreds = 50

[2] (a) 10 times as many as 1 hundred is 10 x 100 = 10 hundreds or 1000 x 1 = 1 thousand

(b) 10 times 6 hundreds is 60 hundreds or 6 thousands

(c) 10 times 8 hundreds is 8 thousands.

(d) 40 hundreds is same as 4 thousands.

Learn more about " Place value and Number system " from here: brainly.com/question/27734142

#SPJ9

Disclaimer: The question given was incomplete on portal. Here is the complete question.

Question: Label the place value charts. Fill in the blanks to make the following equations true. Draw disks in the place value chart to show how you got your answer, using arrows to show any regrouping.

[1] a. 10 times 4 ones = ____ ones = _____

b. 10 times 2 tens = _____ tens = _____

c. 5 hundreds times 10 = _____ hundreds = ____

[2] Complete the following statements using your knowledge of place value:

a. 10 times as many as 1 hundred is _____ hundreds or _____ thousand.

b. 10 times as many as _____ hundreds is 60 hundreds or _____ thousands.

c. _________ as 8 hundreds is 8 thousands.

d. ______ hundreds is the same as 4 thousands.

Use pictures, numbers, or words to explain how you got your answer for Part (d).

6 0

2 years ago

This problem makes me wanna cry

lyudmila [28]

Answer:

k=45

Step-by-step explanation:

its an isosceles triangle, so k=45

to check it, 45+45+90=180

6 0

4 years ago