I need help Fast!!!!

Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make

kow [346]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 99% confidence interval is $2.4309 < \mu < 4.9328$

Step-by-step explanation:

From the question we are told that

The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

The sample size is n = 11

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i}{n}$

=> $\= x = \frac{3+ 2+5+ \cdots +4 }{11}$

=> $\= x = 3.6818$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }$

=> $\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }$

=> $\sigma = 1.3091$

Given that the confidence interval is 99% then the level of significance is mathematically represented as

$\alpha= (100 - 99) \%$

=> $\alpha= 0.01$

Given that the sample size is small we will making use of t distribution table

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2} , 10 } =3.16927267$

Generally the margin of error is mathematically represented as

$E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }$

$E = 1.251$

Generally 99% confidence interval is mathematically represented as

$3.6818 -1.251 < p < 3.6818 + 1.251$

=> $2.4309 < \mu < 4.9328$

8 0

3 years ago

Enter the equation of the circle with the given center and radius.

Lapatulllka [165]

Answer:

$(x-0)^{2} + (y-5)^{2} = 25$

Step-by-step explanation:

The "template" equation of a circle is:

$(x-h)^{2} + (y-k)^{2} = r^{2}$

All you're doing after that, is filling in the blanks:

h = 0

k = 5

r = 5

4 0

3 years ago

Read 2 more answers

Put in order least to greatest , 9/10 5/25 49/50 6/100

blondinia [14]

I’m screwin yo girl n whoopin yo son

6 0

3 years ago

Read 2 more answers

A school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who

Nadusha1986 [10]

$88 adults and $12 children

5 0

3 years ago

Read 2 more answers

Two numbers have these properties:

Elina [12.6K]

The two numbers are 12 and 30

Step-by-step explanation:

Let us revise the meaning of HCF (highest common factor) and LCM (least common multiple)

The highest common factor of two numbers is the largest whole number which is a factor of both, the HCF of 4 and 6 is 2 because the factors of 4 are 1, 2, 4 and the factors of 6 are 1, 2, 3, 6; the common factors are 1, 2 and the greatest is 2 so the highest common factor of 4 , 6 is 2
The least common multiple of two numbers is the smallest number that they both divide evenly into, the least common multiple of 4 and 6 is 12 because the multiples of 4 are 4, 8, 12, 16, ... and the multiples of 6 are 6, 12, 18, 24, ...; the first common multiple between then is 12

∵ Both numbers are greater than 6

∵ Their HCF is 6

- That means 6 is a factor of both of them

∴ The two numbers are multiple of 6 without any other common

factor greater than 6

Let us write the multiple of 6 greater than 6

∵ 12 , 18 , 24 , 30 , 36 , ......... are multiples of 6

∵ Their LCM is 60

- That means 60 can divided by them

∵ 60 can divided by 12

∵ 60 can divided by 30

∵ The factors of 12 are 1 , 2 , 3 , 4 , 6 , 12

∵ The factor of 30 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30

∵ Their common factors are 1 , 2 , 3 , 6 and the greatest one is 6

- 12 and 30 have HCF of 6 and LCM of 60

∴ The two numbers are 12 and 30

The two numbers are 12 and 30

Learn more:

You can learn more about the factors in brainly.com/question/5194236

#LearnwithBrainly

4 0

4 years ago