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Svetradugi [14.3K]
3 years ago
8

An investment analyst takes a random sample of 100 aggressive equity funds and calculates the average beta as 1.7. The sample be

tas have a standard deviation of 0.4. Using a 95% confidence interval and a z-statistic, which of the following statements about the confidence interval and its interpretation is most likely accurate? The analyst can be confident at the 95% level that the interval:
A) 1.580 to 1.820 includes the mean of the population beta.
B) 1.622 to 1.778 includes the mean of the population beta.
C) 1.634 to 1.766 includes the mean of the population beta.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

B) 1.622 to 1.778 includes the mean of the population beta.

Step-by-step explanation:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 100 - 1 = 99

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.9842

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9842\frac{0.4}{\sqrt{100}} = 0.078

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.

The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.

Thus the correct answer is given by option B.

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Twice the sum of four and x is three less than x.
aliya0001 [1]

Answer:

-11

Step-by-step explanation

Condition:

2(4+x)=x-3

8+2x=x-3

Combining similar terms

8+3=x-2x

11=-x

OR

x=-11

7 0
3 years ago
Guys Can you please help me with this math
Likurg_2 [28]

Answer:

You can buy up to 6 candy bars with a soda

Step-by-step explanation:

7$-2.50$=4.50$

4.50$ / .75$ = 6

4 0
3 years ago
20 PTSS !!!<br> PLEASE HELPP !!
butalik [34]

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

8 0
3 years ago
What is the equation of the graph
AveGali [126]

Answer:

y = 2x^2 + 1

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

y = a*x^2 + b

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

3 = a * (1)^2 + 1\\2 = a

Awesome, we've found both values. And we can write the result.

y = 2x^2 + 1

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0
2 years ago
How many thousands are in 3.293
just olya [345]

??? what do u mean

like numbers in the thousands place is 3


8 0
3 years ago
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