If she completes 5 paintings each month for six months at the end of the six months she will have 30 paintings complete and will need to complete 8 more paintings before 38 paintings are complete.

3 0

3 years ago

Construct a 96% confidence interval if a sampling distribution has a mean of 20, a standard deviation of 5, and a size of 100.

MAXImum [283]

Using the t-distribution, the 96% confidence interval is given as follows:

(18.96, 21.04).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 96% confidence interval, with 100 - 1 = 99 df, is t = 2.0812.

The parameters are given as follows:

$\overline{x} = 20, s = 5, n = 100$

Hence the bounds of the interval are:

$\overline{x} - t\frac{s}{\sqrt{n}} = 20 - 2.0812\frac{5}{\sqrt{100}} = 18.96$

$\overline{x} + t\frac{s}{\sqrt{n}} = 20 + 2.0812\frac{5}{\sqrt{100}} = 21.04$

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

6 0

2 years ago

Subtracting Fractions<br> What is<br> -23 7<br> 6

pshichka [43]

Answer:

-9/6

Step-by-step explanation:

simple, multiply the 7/3 by 2 to get the same denominator, then just subtract

5 0

3 years ago

What is the percent increase?Original quantity:50 new quantity 56

Semmy [17]

Answer:

This is a 12% change

Step-by-step explanation:

To find the percent change, use the percent change equation.

(New - Old)/(Old) * 100 = Percent Change

(56 - 50)/(50)*100 = Percent Change

6/50 * 100 = Percent Change

.12 * 100 = Percent Change

12% = Percent Change

5 0

3 years ago