What is 241.5 divided by 14 rounded to the nearest tenth

You observe a portfolio for five years and determine that its average annual return is 13% and the standard deviation of its ret

horrorfan [7]

Answer:

There is a 95% probability that the portfolio would not loose more than 30% of its value.

Step-by-step explanation:

The confidence interval for proportions (p) is:

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

The information provided is:

$\hat p = 0.13\\\sqrt{\frac{\hat p(1-\hat p}{n}} =0.21$

For 95% confidence level the critical value of z is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

The 95% confidence interval for average annual return is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.13\pm 1.96\times0.21\\=0.13\pm 0.4116\\=(-0.2816, 0.5416)\\\approx(-28\%, 54\%)$

The lower limit of the 95% confidence interval is -28%.

This implies that the portfolio would not loose more than 28% of its value.

Thus, there is a 95% probability that the portfolio would not loose more than 30% of its value.

6 0

3 years ago

A study done by researchers at a university concluded that 70 70% of all student athletes in this country have been subjected t

Alecsey [184]

Answer:

The margin of error is 0.0206 = 2.06 percentage points.

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

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:

$n = 1900, \pi = 0.7$

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 margin of error is:

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

$M = 1.96\sqrt{\frac{0.7*0.3}{1900}} = 0.0206$

The margin of error is 0.0206 = 2.06 percentage points.

The lower limit of this interval is:

$\pi - M = 0.7 - 0.0206 = 0.6794$

The upper limit of this interval is:

$\pi + M = 0.7 + 0.0206 = 0.7206$

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

6 0

4 years ago

The price of an item has risen to $182 today. Yesterday it was $140. Find the percentage increase.

nadya68 [22]

Answer:You can do 182-140 which is 42, so the answer would be that the percentage has increased 42%

Step-by-step explanation:

8 0

3 years ago

Some one need help with math or something

laila [671]

Answer:

i do i need help with this

Why did Hippocrates develop the Hippocratic oath?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

AleksAgata [21]

Combination = doesn't matter what order
Permutation = order matters

There are two methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

7 0

4 years ago