Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.6 seconds. Suppose that you want to set up a statistical test to challenge the claim of 7.6 seconds as the value obtained from the 50 car for a sample was 7.8. The standard deviation of the sample was .2.  Use the significance level α=.01.   State the Null and Alternate Hypothesis. Which test should be conducted in this scenario? Compute the numerical value of the test statistics. Find the p-value corresponding the test statistics. Is the test statistically significant? Will you reject or fail to reject the null hypothesis? Find the 95% Confidence Interval for the population.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.6 seconds. Suppose that you want to set up a statistical test to challenge the claim of 7.6 seconds as the value obtained from the 50 car for a sample was 7.8. The standard deviation of the sample was .2.  Use the significance level α=.01.

 

  1. State the Null and Alternate Hypothesis.
  2. Which test should be conducted in this scenario?
  3. Compute the numerical value of the test statistics.
  4. Find the p-value corresponding the test statistics.
  5. Is the test statistically significant? Will you reject or fail to reject the null hypothesis?
  6. Find the 95% Confidence Interval for the population.
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