Hypothesis Testing for Mean Monthly Return
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Questions and Answers

In hypothesis testing, which of the following is the appropriate set of null and alternative hypotheses to test whether the actual mean monthly return is 2.0%?

  • H0: μ = 2.0; Ha: μ ≠ 2.0 (correct)
  • H0: μ ≥ 2.0; Ha: μ < 2.0
  • H0: μ > 2.0; Ha: μ ≤ 2.0
  • H0: μ ≤ 2.0; Ha: μ > 2.0
  • Given a significance level of 10%, can the null hypothesis be rejected if the actual mean monthly return is 2.0%?

  • No (correct)
  • Depends on the sample size
  • Cannot be determined
  • Yes
  • Which of the following statements accurately describes paired comparisons tests?

  • The two samples are assumed to be independent. (correct)
  • Sample sizes must be equal.
  • Sample data must be skewed.
  • The appropriate test statistic is a z-statistic.
  • In hypothesis testing, what is the appropriate test statistic for paired comparisons tests?

    <p>T-statistic</p> Signup and view all the answers

    Which of the following statements accurately describes Type I and Type II errors in hypothesis testing?

    <p>Type I error probability is always lower than the significance level.</p> Signup and view all the answers

    Which of the following is a common misconception about errors in hypothesis testing?

    <p>Type I error probability is one minus the significance level.</p> Signup and view all the answers

    What would be the most appropriate hypothesis test for Robert Patterson's belief about the return on options trading being higher on Mondays?

    <p>Returns on Mondays are greater than returns on other days.</p> Signup and view all the answers

    Which of the following is a strength of the bootstrapping method for simulation of asset price returns?

    <p>It provides more exact results and further insight than analytical methods.</p> Signup and view all the answers

    In the covariance matrix provided, what is the correlation between funds J and K?

    <p>-0.372</p> Signup and view all the answers

    If a client wants to invest $200,000 in a business two years from now, how much should they set aside today with an interest rate of 6% compounded quarterly?

    <p>$177,542</p> Signup and view all the answers

    What would be the appropriate null hypothesis for testing whether an investment strategy results in a standard deviation of monthly returns less than 0.05?

    <p>$σ^2 ≥ 0.0025; Ha: σ^2 &lt; 0.0025</p> Signup and view all the answers

    Which statement accurately describes the bootstrapping method for simulation of asset price returns?

    <p>It is computationally intensive and time-consuming.</p> Signup and view all the answers

    In hypothesis testing, what happens to the power of a test when the significance level increases?

    <p>Increases</p> Signup and view all the answers

    For a two-tailed test with a significance level of 0.10 and a critical value of 1.714, when can the null hypothesis be rejected?

    <p>Both a and b</p> Signup and view all the answers

    When is the paired comparisons (mean differences) test used for comparing means of two samples?

    <p>When the samples are dependent</p> Signup and view all the answers

    For hypothesis tests involving the variance of a normally distributed population, which statistic is typically used?

    <p>Chi-square statistic</p> Signup and view all the answers

    Which of the following statements is accurate about the null hypothesis in a two-tailed test regarding the correlation coefficient?

    <p>The null hypothesis states that the correlation coefficient equals zero.</p> Signup and view all the answers

    What is an inaccurate statement regarding the probability of a Type II error calculation?

    <p>It can be calculated based solely on the significance level.</p> Signup and view all the answers

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