Question

In: Statistics and Probability

Determine whether the following statements are true (T) or false (F). ____ Newton discovered the Normal...

  1. Determine whether the following statements are true (T) or false (F).

  1. ____ Newton discovered the Normal Distribution.

  2. _____ The Normal distribution is symmetric.

  3. ______ As sample size increases the T-distribution approaches the Normal distribution.

  4. _____ The Central Limit Theorem allows us to use the the properties of the Sample Mean Random variable to infer information abot the population mean.

  5. _____ The greater the confidence level the harder it is to reject the Null Hypothesis.

  6. _____ When estimating population proportion a large sample size results in a less accurate estimate.

  7. ______ The Margin of Error is found by using the sample mean.

  8. _______ The greater the sample size the greater the Margin of Error.

  9. ______The covariance of A with A is 0.

  10. ______ If X versus Y is linear then the correlation is 0.

Solutions

Expert Solution

  1. ____ Newton discovered the Normal Distribution. FALSE

  2. _____ The Normal distribution is symmetric. TRUE . It is symmetric around the mean

  3. ______ As sample size increases the T-distribution approaches the Normal distribution. TRUE

  4. _____ The Central Limit Theorem allows us to use the the properties of the Sample Mean Random variable to infer information about the population mean. TRUE

  5. _____ The greater the confidence level the harder it is to reject the Null Hypothesis.TRUE

  6. _____ When estimating population proportion a large sample size results in a less accurate estimate.FALSE. Larger the sample more accurate the result

  7. ______ The Margin of Error is found by using the sample mean. FALSE. Sample size and standard deviation

  8. _______ The greater the sample size the greater the Margin of Error. FALSE.

  9. ______The covariance of A with A is 0. FALSE

  10. ______ If X versus Y is linear then the correlation is 0. FALSE . It is 1


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