Consider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds. 0.54 1.01 1.21 2.16 1.58 0.96 1.09 1.08 1.82 2.06 0.90 0.78 1.35 0.59 1.53 0.99 1.05 1.76 1.05 1.20 LAUSE SALT A normal probability plot shows a reasonably linear pattern. (a) Is there compelling evidence for concluding that the population mean expense ratio exceeds 1% ? Carry out a test of the relevant hypotheses using a significance level of 0.01. State the appropriate hypotheses. Ho: M=1 H: >1 OH:1 H₂H <1 OHH1 H₁: μ = 1 OHg: M=1 H₂H1 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t-2.3264 P-value 0.0156 What can you conclude? Reject the null hypothesis. There is not sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Reject the null hypothesis. There is sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Fail to reject the null hypothesis. There is sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Fail to reject the null hypothesis. There is not sufficient evidence to conclude that the population mean expense ratio exceeds 1%.

Consider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds. 0.54 1.01 1.21 2.16 1.58 0.96 1.09 1.08 1.82 2.06 0.90 0.78 1.35 0.59 1.53 0.99 1.05 1.76 1.05 1.20 LAUSE SALT A normal probability plot shows a reasonably linear pattern. (a) Is there compelling evidence for concluding that the population mean expense ratio exceeds 1% ? Carry out a test of the relevant hypotheses using a significance level of 0.01. State the appropriate hypotheses. Ho: M=1 H: >1 OH:1 H₂H <1 OHH1 H₁: μ = 1 OHg: M=1 H₂H1 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t-2.3264 P-value 0.0156 What can you conclude? Reject the null hypothesis. There is not sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Reject the null hypothesis. There is sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Fail to reject the null hypothesis. There is sufficient evidence to conclude that the population mean expense ratio exceeds 1%. Fail to reject the null hypothesis. There is not sufficient evidence to conclude that the population mean expense ratio exceeds 1%.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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39. Reconsider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds first intro- duced in Exercise 1.53. 0.52 1.06 1.26 2.17 1.55 0.99 1.10 1.07 1.81 2.05 0.91 0.79 1.39 0.62 1.52 1.02 1.10 1.78 1.01 1.15 A normal probability plot shows a reasonably linear Pattern a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypotheses using a significance level of .01 b. Referring back to (a), describe in context type I and Il errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that µ = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion? c. Supporting that o = 05, determine and interpret the power of the test in (a) for each actual value of u stated in (b).
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 o = 0.10 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 H,: The alternative hypothesis is H Click to select your answer(s) and then click Check Answer. parts remaining Clear All Check Answer
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 o = 0.10 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 H,: o = 0.05. %3D The alternative hypothesis is H;: 0.05. Calculate the value of the test statistic. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ? parts remaining Clear All Check Answer
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 24 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.62%. Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.05 level of significance? A normal probability plot indicates that the monthly rates of return are normally USPRILAAOIogy w uetermne ume r-varue iur uie est stausut. The P-value is. (Round to three decimal places as needed.) Vi (00) More Enter your answer in the answer box and then click Check Answer. (? 1 part remaining Clear All Check Answer PPearson OVI 10:29 hp esc DII %23 96 & 4. 6. backspa r y a j k V alt alt ctrl USE YOUR SMAR Reviews Vld Specs
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 29 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 2.23%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 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 Ho: The alternative hypothesis is H,: Calculate the value of the test statistic. (Round to two 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 = 0.05 level of significance? Since the P-value is than the level of significance, the null hypothesis. There sufficient evidence…
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 5.37%. Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.10 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 H.: = 0.06. The alternative hypothesis is H₁: O Calculate the value of the test statistic. = 17.62 (Round to two 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) n example Get more help - < 0.06. 16 (DELL) M
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 2.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a=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 Ho O = 0.04 The alternative hypothesis is H₁ O <0.04. Calculate the value of the test statistic. 4 x=(Round to two decimal places as needed.) Help me solve this View an example Clear all Check answer + Type here to search O 4:39 PM 6/18/2022 7 R T B Get more help. 0 18 hp 9 a 19 ? 96°F Sunny A
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 2.63%. Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.05 level of significance? A normal 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. There sufficient evidence to conclude that the fund has moderate risk at the 0.05 level of…
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…
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2016 was $2,800. Assume the standard deviation is $450 and that the amounts refunded follow a normal probability distribution. What percent of the refunds are more than $3,100? What percent of the refunds are more than $3,100 but less than $3,500? What percent of the refunds are more than $2,250 but less than $3,500?
5) Estimate the mean and standard deviation of the underlying normal distribution from which the following data has been generated, using the probability plot method. 4.99 3.73 5.52 -1.83 4.33 2.33 3.67 2.49 3.19 5.40 1.36 1.25 7.42 4.38 4.72 0.27 3.04 1.23 2.88 -3.58
6. Construct a normal probability plot for the following data. 0.77 1.20 3.00 1.62 2.81 2.48 1.74 0.47 3.09 1.31 1.87 0.96 0.81 1.43 1.51 0.32 1.18 1.89 1.20 3.37 2.10 0.59 1.35 0.90 1.95 2.20 0.52 0.81 4.75 2.05