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Questions and Answers

What statistical method is indicated as part of the curriculum?

  • Descriptive statistics (correct)
  • Predictive analytics
  • Bayesian statistics
  • Inferential statistics

Which tool is mentioned for accessing academic articles?

  • Google Scholar (correct)
  • Microsoft Word
  • Wiley Online Library
  • ResearchGate

What does the acronym CRSP stand for in the context of data sources?

  • Center for Research in Security Prices (correct)
  • Comprehensive Research Strategy Project
  • Corporate Research and Statistical Practices
  • Comparative Risk Solutions Program

What does the VPN mentioned in the content connect to?

<p>Secure database access (B)</p> Signup and view all the answers

Which programming language is referenced that may be used for statistical analysis?

<p>VBA (A)</p> Signup and view all the answers

Which of these databases is specifically mentioned for providing stock market data?

<p>CRSP (A)</p> Signup and view all the answers

What is suggested to check email for in the content?

<p>REFINITIV (A)</p> Signup and view all the answers

What type of database comparison is indicated under 'Sabi'?

<p>Public vs private comparisons (A)</p> Signup and view all the answers

What is the purpose of the AR(2) autoregressive coefficient?

<p>To predict future values based on past values (B)</p> Signup and view all the answers

How is the expected value represented mathematically?

<p>E(a) = a (B)</p> Signup and view all the answers

What is the formula for calculating covariance between two variables X and Y?

<p>Cov(X, Y) = E(XY) - E(X)E(Y) (C)</p> Signup and view all the answers

What denotes the correlation between two variables X and Y?

<p>Cov(X, Y)/(V(X)V(Y)) (C)</p> Signup and view all the answers

In the expression Var(aX + bY), what represents 'a' and 'b'?

<p>Constants affecting variance (A)</p> Signup and view all the answers

What does the standard deviation indicate in a data set?

<p>The degree of dispersion in the data (A)</p> Signup and view all the answers

Which of the following represents the correct relationship in the variance formula between two variables?

<p>V(aX + bY) = a^2V(X) + b^2V(Y) (A)</p> Signup and view all the answers

In the context of correlation, what is the effect of a value of 0?

<p>It indicates no correlation (A)</p> Signup and view all the answers

What is the significance of the autoregressive model in time series analysis?

<p>It utilizes past values to forecast future observations (A)</p> Signup and view all the answers

What does covariance measure in statistics?

<p>The direction of a linear relationship between two variables (C)</p> Signup and view all the answers

What statistical value is indicated by 'p-value' in hypothesis testing?

<p>The probability of obtaining the observed results, assuming the null hypothesis is true. (B)</p> Signup and view all the answers

When the statement 'do not reject Ho' is made, what does it imply about the p-value?

<p>The p-value is greater than the significance level. (C)</p> Signup and view all the answers

What is the role of 'NORM.S.INV()' as referenced in the content?

<p>It determines the z-score for a given percentile. (D)</p> Signup and view all the answers

What does a significance level of 5% signify in hypothesis testing?

<p>There is a 5% chance of making a Type I error. (B)</p> Signup and view all the answers

In hypothesis testing, what does the term 'critical value' refer to?

<p>The threshold that determines whether to reject the null hypothesis. (B)</p> Signup and view all the answers

Which of the following accurately describes 't-statistic'?

<p>It measures the difference between the observed value and the expected value under the null hypothesis. (A)</p> Signup and view all the answers

What is meant by the term 'Direction of Alternative' in hypothesis testing?

<p>It specifies whether a one-tailed or two-tailed test is being conducted. (B)</p> Signup and view all the answers

What is indicated by a p-value of 18.02% in the context of hypothesis testing?

<p>The evidence is insufficient to reject the null hypothesis. (A)</p> Signup and view all the answers

What is the Z-score for next month's return of 0.5% assuming the mean is 0.1% and the standard deviation is 0.2%?

<p>2 (B)</p> Signup and view all the answers

If the probability that next month's return will exceed 0.5% is approximately 2.75%, what is the probability it will not exceed this amount?

<p>0.9725 (B)</p> Signup and view all the answers

For a height of 180 cm, what does a Z-score of approximately 1.43 indicate?

<p>The height is 1.43 standard deviations above the mean. (D)</p> Signup and view all the answers

What is the mean (μ) height in the given dataset of adults' heights?

<p>170 cm (A)</p> Signup and view all the answers

In a normal distribution of IQ scores with a mean of 100 and standard deviation of 15, what is the 75th percentile?

<p>125 (D)</p> Signup and view all the answers

What does it mean when a data point has a Z-score of 0?

<p>The data point is at the mean. (B)</p> Signup and view all the answers

Calculating the Z-score for a height of 160 cm in a distribution with μ = 170 cm and σ = 7 cm results in what value?

<p>-1.43 (D)</p> Signup and view all the answers

How is the probability P(Z > 2) calculated based on the standard normal distribution?

<p>P(Z &gt; 2) = 1 - P(Z ≤ 2) (C)</p> Signup and view all the answers

What is the mean of a chi-squared distribution with 12 degrees of freedom?

<p>12 (A)</p> Signup and view all the answers

What is the variance of a chi-squared distribution with 12 degrees of freedom?

<p>24 (B)</p> Signup and view all the answers

If $X_1 \sim \chi^2(3)$, $X_2 \sim \chi^2(4)$, and $X_3 \sim \chi^2(8)$, what is the distribution of $X_1 + X_2 + X_3$?

<p>$\chi^2(15)$ (C)</p> Signup and view all the answers

Given that $Z \sim N(5,4)$, what is the standardized form of $Z$?

<p>$Z \sim N(0,1)$ (C)</p> Signup and view all the answers

What is the relationship between the chi-squared distributions if $X_1 + X_3 \sim \chi^2(11)$?

<p>This means $X_1 \sim \chi^2(3), X_3 \sim \chi^2(8)$ (D)</p> Signup and view all the answers

What can be inferred about $Z^2$ if $Z \sim N(0,1)$?

<p>$Z^2 \sim \chi^2(1)$ (B)</p> Signup and view all the answers

For a chi-squared distribution with 3 degrees of freedom, what is its skewness?

<p>1.88 (D)</p> Signup and view all the answers

What is the distribution of $2Z$, if $Z \sim N(0,1)$?

<p>$N(0,4)$ (B)</p> Signup and view all the answers

In the context of independent chi-squared variables, what is the sum of two independent chi-squared variables with 2 and 3 degrees of freedom?

<p>$\chi^2(5)$ (C)</p> Signup and view all the answers

What is the significance of the degrees of freedom for a chi-squared distribution?

<p>They affect the shape of the distribution. (D)</p> Signup and view all the answers

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