SAT College

Calculate the geometric mean return for the following data set:
-5% 6% -7% 4.7% 5.1%
(Negative Value should be indicated by minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answers

Answer 1

The geometric mean return for the given data set is approximately 0.85%.

To calculate the geometric mean return for the given data set, we need to follow these steps:

Convert the percentage returns into decimal form.

To do this, we divide each return by 100:

-5% becomes -0.05

6% becomes 0.06

-7% becomes -0.07

4.7% becomes 0.047

5.1% becomes 0.051

Add 1 to each decimal return to obtain the growth factor:

-0.05 + 1 = 0.95

0.06 + 1 = 1.06

-0.07 + 1 = 0.93

0.047 + 1 = 1.047

0.051 + 1 = 1.051

Multiply all the growth factors together:

0.95 × 1.06 × 0.93 × 1.047 × 1.051

= 1.04251741

Take the nth root of the product, where n is the number of returns in the data set. In this case, n = 5:

[tex]1.04251741^{(1/5)}[/tex] ≈ 1.008488

Subtract 1 from the result and multiply by 100 to obtain the geometric mean return as a percentage:

(1.008488 - 1) × 100 ≈ 0.8488

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Related Questions

Apparent magazine reports that the average amount of wireless data used by teenagers each month is seven gigs bites for her science fair project Ellis that’s out to prove the magazine is wrong she claims that the Mina Monchhichi teenagers in her area is less than a report Ella collects information from a simple random sample for teenagers at her high school and calculate the mean of 5.8 GB per month with a standard deviation of 1.9 Gigamon bytes per month assume the population distribution is approximately normal test Ella’s claim at 0.005 level of significance State to null and alternative paths hypothesis for this test for this test

Answers

Ella's hypothesis is that the average wireless data usage of teenagers in her area is less than seven gigabytes per month, and she aims to test this using a one-sample t-test with a significance level of 0.005.

How to State a Null and Alternative Hypotheses?

Null hypothesis (H0): The average amount of wireless data used by teenagers in Ella's area is not less than seven gigabytes per month.

Alternative hypothesis (Ha): The average amount of wireless data used by teenagers in Ella's area is less than seven gigabytes per month.

Ella aims to test if the mean data usage in her sample provides evidence to reject the claim made by the magazine. She collects data from a simple random sample at her high school, where the sample mean is 5.8 GB per month and the standard deviation is 1.9 GB per month.

Assuming the population distribution is approximately normal, Ella will conduct a one-sample t-test at a 0.005 level of significance to determine if there is sufficient evidence to support her claim.

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Justin a manager with the ITA team was suggested a few changes in the GTB by one of his clients. Whose approval should justin take on the modified terms

Answers

Justin, as a manager with the ITA team, should seek approval from the appropriate stakeholders within his organization before implementing any modifications suggested by the client. The specific individuals or departments involved may vary depending on the organization's structure and processes. Generally, Justin should consult with his immediate supervisor, project manager, or other relevant decision-makers within his organization to obtain approval on the modified terms proposed by the client. It is important to follow the established protocols and hierarchy within the organization to ensure proper review and approval of any changes.

Consider the following population data:
38 40 15 12 24
a. Calculate range
b. calculate MAD (2 decimal places)
c. calculate population variance (2 decimal places)
d. calculate population standard deviation. (2 decimal places)

Answers

Answer:

11.474

Explanation:

a. To calculate the range, we subtract the smallest value from the largest value:

Range = largest value - smallest value

Range = 40 - 12

Range = 28

Therefore, the range is 28.

b. To calculate the MAD (Mean Absolute Deviation), we first need to find the mean of the data set:

Mean = (38 + 40 + 15 + 12 + 24) / 5

Mean = 25.8

Next, we find the absolute deviation of each value from the mean:

|38 - 25.8| = 12.2

|40 - 25.8| = 14.2

|15 - 25.8| = 10.8

|12 - 25.8| = 13.8

|24 - 25.8| = 1.8

Then, we find the average of these absolute deviations:

MAD = (12.2 + 14.2 + 10.8 + 13.8 + 1.8) / 5

MAD = 10.56 (rounded to 2 decimal places)

Therefore, the MAD is 10.56.

c. To calculate the population variance, we first need to find the mean of the data set (which we already calculated in part b):

Mean = 25.8

Next, we calculate the sum of the squared differences between each value and the mean:

(38 - 25.8)^2 = 147.24

(40 - 25.8)^2 = 206.01

(15 - 25.8)^2 = 110.88

(12 - 25.8)^2 = 189.54

(24 - 25.8)^2 = 2.56

Then, we find the average of these squared differences:

Population Variance = (147.24 + 206.01 + 110.88 + 189.54 + 2.56) / 5

Population Variance = 131.646 (rounded to 2 decimal places)

Therefore, the population variance is 131.646.

d. To calculate the population standard deviation, we take the square root of the population variance:

Population Standard Deviation = sqrt(131.646)

Population Standard Deviation = 11.474 (rounded to 2 decimal places)

Therefore, the population standard deviation is 11.474.

A store is having a sale on chocolate chips and walnuts, for 2 pounds of chocolate chips and 5 pounds of walnuts , the cost ia $17. For 8 pounds of chocolate chips and three pounds of walnuts, the total cost for each pound of chocolate chips and each pound of walnuts

Answers

If a store is having a sale on chocolate chips and walnuts, for 2 pounds of chocolate chips and 5 pounds of walnuts. The total cost for 8 pounds of chocolate chips and 3 pounds of walnuts is $68 for the chocolate chips and $10.20 for the walnuts.

What is the total cost?

Let's calculate the cost per pound for each item:

Cost per pound of chocolate chips = Total cost / Total pounds of chocolate chips

Cost per pound of chocolate chips = $17 / 2 pounds

Cost per pound of walnuts = $17 / 5 pounds

Cost per pound of walnuts = Total cost / Total pounds of walnuts

Cost per pound of chocolate chips = $8.50/pound

Cost per pound of walnuts = $3.40/pound

For 8 pounds of chocolate chips and 3 pounds of walnuts

Total cost for 8 pounds of chocolate chips = Cost per pound of chocolate chips * Total pounds of chocolate chips

Total cost for 8 pounds of chocolate chips = $8.50/pound * 8 pounds = $68

Total cost for 3 pounds of walnuts = Cost per pound of walnuts * Total pounds of walnuts

Total cost for 3 pounds of walnuts = $3.40/pound * 3 pounds = $10.20

Therefore the total cost for 8 pounds of chocolate chips and 3 pounds of walnuts is $68 for the chocolate chips and $10.20 for the walnuts.

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How d you solve a match paired test

Answers

Answer:

Try looking it up on Khan Academy.

Explanation:

They have very good explanations.

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