HELP! can someone help me with this math problem pls?

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

2 years ago

Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same n

shutvik [7]

Answer:6. 42 split 7 ways is 6

Step-by-step explanation:

7 0

1 year ago

Amy has a total of 560 marbles, She has five times as many small marbles as medium marbles. The number of large marbles is two m

Klio2033 [76]

I am sorry if answer is wrong,reply me

7 0

3 years ago

Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch. Each student

Elanso [62]

443.75 - (25 x 7.25) =25x
443.75 - 181.25 = 25x
262.5 = 25x
x = 10.5
$10.50

4 0

2 years ago

If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. see if those v

kkurt [141]

a=4 , b=3 These values make the equation true .

<u>Step-by-step explanation:</u>

Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:

We have the following equation:

-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So

⇒ $-(a/b) = (-a)/b = a/(-b)$

⇒ $-\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}$

⇒ $-\frac{4}{3} = \frac{-4}{3} = \frac{4}{-3}$

⇒ $-\frac{4(-1)}{3} = \frac{-4(-1)}{3} = \frac{4(-1)}{-3}$ { Multiplying by -1 }

⇒ $\frac{4}{3} = \frac{4}{3} = \frac{4}{3}$

Therefore , These values make the equation true .

7 0

3 years ago