What is the box-and-whisker plot for the data? <br> 18 22 27 19 10 8 24 21

A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true propo

Archy [21]

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 25, \pi = \frac{12}{25} = 0.48$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758$

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

8 0

2 years ago

Help plz i will give brainliest!!

melamori03 [73]

Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).

8 0

2 years ago

Question 19 of 25 -

zubka84 [21]

X+14 because (look at the picture)

5 0

3 years ago

Locate any intercepts.

Alexxx [7]

Answer:

hi I'm soooooo smart

Step-by-step explanation:

I'm smart

3 0

2 years ago

Mrs. Gomez is sewing a dress for each of her four daughters. Each dress uses 2.25 yards of fabric, and the fabric costs $4.15 pe

slega [8]

2.25 yd * 4.15/yd = $ 9.3375 = $9.34

3 0

2 years ago

Read 2 more answers

What is the box-and-whisker plot for the data? 18 22 27 19 10 8 24 21