Standard deviation of returns is often used as a measure of a mutual fund's volatility (risk). A larger standard deviation of returns is an indication of higher risk. According to Momingstar.com (June 17, 2010), the American Century Equity Income Institutional Fund, a large cap fund, has a standard deviation of returns equal to 1368 percent. Morningstar.com also reported that the Fidelity Small Cap Discovery Fund has a standard deviation of returns equal to 2779 percent. Each standard deviation was computed using a sample of size 31 (a) Calculate the value of the test statistic. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Test statistic (b) Calculate the critical value by using excel (Round your answer to 2 decimal places.) Critical value (c) At the 01 significance level, what it the conclusion? O Reject O Fall to reject
Standard deviation of returns is often used as a measure of a mutual fund's volatility (risk). A larger standard deviation of returns is an indication of higher risk. According to Momingstar.com (June 17, 2010), the American Century Equity Income Institutional Fund, a large cap fund, has a standard deviation of returns equal to 1368 percent. Morningstar.com also reported that the Fidelity Small Cap Discovery Fund has a standard deviation of returns equal to 2779 percent. Each standard deviation was computed using a sample of size 31 (a) Calculate the value of the test statistic. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Test statistic (b) Calculate the critical value by using excel (Round your answer to 2 decimal places.) Critical value (c) At the 01 significance level, what it the conclusion? O Reject O Fall to reject
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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![Standard deviation of returns is often used as a measure of a mutual fund's volatility (risk). A larger standard deviation of returns is an
indication of higher risk. According to Morningstar.com (June 17, 2010), the American Century Equity Income Institutional Fund, a large
cap fund, has a standard deviation of returns equal to 13.68 percent. Morningstar.com also reported that the Fidelity Small Cap
Discovery Fund has a standard deviation of returns equal to 2779 percent Each standard deviation was computed using a sample of
size 31
(a) Calculate the value of the test statistic. (Do not round Intermediate calculations. Round your answer to 2 decimal places.)
Test statistic
(b) Calculate the critical value by using excel (Round your answer to 2 decimal places.)
Critical value
(c) At the 01 significance level, what it the conclusion?
O Reject
O Fall to reject](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff80e0ec3-ff16-4b82-b838-182eac38b34a%2Fa0f5d3b8-5cdb-4055-b6aa-754a4b0c63e9%2Fgrmhqce_processed.png&w=3840&q=75)
Transcribed Image Text:Standard deviation of returns is often used as a measure of a mutual fund's volatility (risk). A larger standard deviation of returns is an
indication of higher risk. According to Morningstar.com (June 17, 2010), the American Century Equity Income Institutional Fund, a large
cap fund, has a standard deviation of returns equal to 13.68 percent. Morningstar.com also reported that the Fidelity Small Cap
Discovery Fund has a standard deviation of returns equal to 2779 percent Each standard deviation was computed using a sample of
size 31
(a) Calculate the value of the test statistic. (Do not round Intermediate calculations. Round your answer to 2 decimal places.)
Test statistic
(b) Calculate the critical value by using excel (Round your answer to 2 decimal places.)
Critical value
(c) At the 01 significance level, what it the conclusion?
O Reject
O Fall to reject
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