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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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A soda manufacturer claims that on average their bottles contain 16oz of soda with an SD of 0.1oz. A regulatory agency decides t
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3 years ago
5, 4 7/8, 4 9/10 in order least to greatest
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The order from least to greatest is 4 7/ 8, 4 9/ 10 , 5

<h3>What are fractions?</h3>

Fractions are simply representatives of part of a whole.

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From the information given, we have to arrange in order from least to greatest

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4 0
1 year ago
Samuel solved the equation h-234=1,192 and found the solution to be h=958. Is he correct? If not, why not?
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Answer:

no he is not correct because he did not add 234 and 1192 to find the value of h, which is 1426


Step-by-step explanation:

h-234 = 1192

add 234 to each side

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h = 1426


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