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3 years ago

There is a lower limit but no upper limit for a random variable that follows the

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer D The binomial must start at 0, but can increase to an infinite upper limit. Hope that helps.

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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values would be given by:

$t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56$

And rounded up we have that n=6147

5 0

4 years ago

Please help with number 9

RUDIKE [14]

This is the answer i got 147

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t

Darina [25.2K]

Answer:

$12$

Step-by-step explanation:

$\sqrt{12} \times\sqrt{12}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0$

$\sqrt{12}\sqrt{12}=12$

$=12$

7 0

3 years ago

Check all solutions to the equation. If there are no solutions, check “None.” √x = 16

dedylja [7]

B. 4

Explanation: We are trying to find the square root of x, which is equal to 16. Meaning x has to multiply itself once to equal 16. 4 multiplied by 4 equals 16. Giving us our answer, x= 4

6 0

3 years ago

Read 2 more answers

HELPPPPPP

iogann1982 [59]

Answer:

THE ANSWER IS B

Step-by-step explanation:

NO EXPLANATION JUST TRUST ME

5 0

3 years ago