Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 4%. A mutual-fund rating agency randomly selects 21 months and determines the rateof return for a certain fund. The standard deviation of the rate of return is computed to be 2.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.05 level of significance? Anormal probability plot indicates that the monthly rates of return are normally distributed.(...)The alternative hypothesis is H₁: O< 0.04.Calculate the value of the test statistic.X= 8.65 (Round to two decimal places as needed.)Use technology to determine the P-value for the test statistic.The P-value is 0.013(Round to three decimal places as needed.)What is the correct conclusion at the a= 0.05 level of significance?than the level of significance,the null hypothesis. Theresufficient evidence to conclude that the fund has moderate risk at the 0.05 level ofSince the P-value issignificance.Clear allView an exampleaO(2)PH96°F Partly sunnyHelp me solve this2Type here to search.*3E4RF965Get more help -OAiTB&H7N8hp1MKOLPCheck answer6:13 PM546/18/202217S

Given data : sample size, n = 21 population standard deviation,σ= 0.04 sample…

Answered: Suppose a mutual fund qualifies as…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table. Bottle Design Study Data с A 16 19 16 18 16 SUMMARY Groups Design A B 35 33 35 33 30 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. Design B Design C 26 20 25 21 26 Count Sum Average 5 85 17.0 5 166 33.2 5 118 23.6 ANOVA Source of Variation Between Groups Within Groups Total Point estimate Confidence interval μB -μA: μC -μA: UC –UB: Variance 2.0 4.2 8.3 1,[ ,[ ‚ [ SS 663.6000 58.0 721.6000 df 2 12.0 14 3 2 (b) Consider the pairwise differences µß - HA, HC - μÃ, and µc - µB. Find a point estimate of and a…
Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 6.6 percent and the standard deviation was 16.5 percent. a. What is the probability that your return on this asset will be less than -8.5 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What range of returns would you expect to see 95 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. What range of returns would you expect to see 99 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and…
Jack invests in a mutual fund with annual returns that follow a Normal model with mean 14% and standard deviation 9%. What is the probability Jack obtains an annual return greater than 25%?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 1.8 years.If you randomly purchase one item, what is the probability it will last longer than 11 years? Use 4 decimal places.
The inflation adjusted annual return of a diversified asset portfolio is assumed to have a normal distribution with a mean of 3.5% and a standard deviation of 1.25%. Represent the value for the inflation adjusted annual return that 95% of outcomes would exceed on a diagram and determine this value.
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5%. A mutual-fund rating agency randomly selects 21 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.37%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is Ho: 0.0337. > The alternative hypothesis is H4: 0.0337. Calculate the value of the test statistic. 0.05. x² = (Round to three decimal places as n 0.0337. Use technology to determine the P-value for tie iosi diaidiu. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.01 level of significance? Since the P-value is than the level of significance, the null…
The distribution of hourly wages of employees of the TNON company obeys a normal law whose average is$10.50 and the standard deviation is $2.00. Find the probability that aemployee earns between $9.00 and $14.00 per hour.
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 6%. A mutual-fund rating agency randomly selects 23 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 5.26%. Is there sufficient evidence to conclude that the fund has moderate risk at the α=0.05 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is? The alternative hypothesis is? Calculate the value of the test statistic The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the α=0.05 level of significance?
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of retum is less than 5%. A mutual-fund rating agency randomly selects 29 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 4.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a=0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is Ho: The alternative hypothesis is H₁: Calculate the value of the test statistic. ²=(Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.01 level of significance? than the level of significance. the null sufficient evidence to conclude that the fund has moderate…
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 3%. A mutual-fund rating agency randomly selects 26 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 2.58%. Is there sufficient evidence to conclude that the fund has moderate risk at the α=0.10 level of significance? A normal probability plot indicates that the monthly rates of return are normally distribute identify the null and alternate hypotnese,test statistic,pvalue and conclusion
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 4%. A mutual-fund rating agency randomly selects 21 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 2.71%. Is there sufficient evidence to conclude that the fund has moderate risk at the α=0.05 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is H0: σ or μ or p and less than or not equal or greater than or equals 2.7. The alternative hypothesis is H1: μ or p or σ , greater than or less than or not equals or equals 2.7. Calculate the value of the test statistic. X2 = _____ (Round to three decimal places as? needed.) Use technology to determine the? P-value for the test statistic. The? P-value is _______ (Round to three decimal places as?…
(b)The annual rainfall in Dhaka is normally distributed with mean 26 inches and standard deviation 2 inches. (i) What is the probability that the next 2 years the rainfall will exceed 50 inches? Assuming that the rainfalls in different years are independent. (ii) Find the median of rainfall for a year. (iii) What is the chance that annual rainfall will be in between 23 to 30 inches?

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