What is the median of the scores in this stem-and-leaf plot?

One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats a

Sidana [21]

The answer to the question

6 0

3 years ago

2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for

kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

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

The margin of error is given by:

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

The variables are listed as follows:

$\pi$ is the sample proportion, which is also the estimate of the parameter.

z is the critical value.

n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.90}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given as follows:

$n = 150, \pi = \frac{15}{150} = 0.1$

The margin of error is of:

$M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%$

The interval is given by the estimate plus/minus the margin of error, hence:

The lower bound is: 10 - 2.45 = 7.55%.

The upper bound is: 10 + 2.45 = 12.45%.

For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:

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

$0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}$

$\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}$

$(\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2$

n = 271 (rounded up).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

3 0

1 year ago

Which is not a solution m-8≤2

Charra [1.4K]

The answer is e because all of the other answers are less than or equal to 2. Hope this helps.

5 0

3 years ago

I need help with this, I’m confuse

masha68 [24]

$\frac{5}{3} + \frac{2}{3} = \frac{7}{3}$
Because the denominators are same, you can just add the numerators.

7 0

3 years ago

A survey of 80 sophomores at a certain western college showed that

DIA [1.3K]

<span>1. take English and niether of the other two?
</span>36-6 that we know take all 3
This leave 30.
Subtract the 6 from those taking history and English. Leaves 10.
Subtract the 10 from those taking English.
This leaves 20.
Subtract the 6 from those taking political science and English. Leaves 8.
Subtract 8 from those taking English.
Leaves 12
<span>
2. take none of the three courses? </span>
<span>
3. take history, but niether of the other two
</span>Do the same with history as we did with English.
32-6 = 26 -10=16-10=6
<span>
4. take political science and history but not english
</span>16-6 (that take all 3) = 10

Hope at least the partial answer helps!

3 0

3 years ago