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Two Variances - Graphing Calculator quiz

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  • What is the purpose of a two-sample F-test for variance?
    It is used to compare the variances (or standard deviations) of two populations to test if one is significantly greater than the other.
  • Which function on a graphing calculator is used to perform a two-sample F-test?
    The 'two sample F test' function is used to perform this test on a graphing calculator.
  • What are the two main values you obtain from the two-sample F-test output?
    You obtain the F statistic and the p-value from the test output.
  • When given only sample statistics, which values must you input into the calculator for the two-sample F-test?
    You must input the sample standard deviations (s1 and s2) and the sample sizes (n1 and n2).
  • What is the null hypothesis (H0) when testing if sigma1 is greater than sigma2?
    The null hypothesis is that sigma1 equals sigma2.
  • How do you decide which sample is s1 and which is s2 when entering values?
    s1 should be the larger standard deviation, and s2 the smaller, unless otherwise labeled.
  • What does it mean if the p-value is less than the chosen alpha level (e.g., 0.05)?
    It means you reject the null hypothesis and conclude there is enough evidence that sigma1 is greater than sigma2.
  • What should you do if the p-value is greater than alpha?
    You fail to reject the null hypothesis, indicating insufficient evidence that sigma1 is greater than sigma2.
  • When entering raw data for the two-sample F-test, where should you input the data in the calculator?
    You should enter the data into lists, typically L1 and L2, for sample one and sample two, respectively.
  • What menu path do you follow on the calculator to access the two-sample F-test?
    Go to the 'stat' menu, then the 'tests' tab, and select 'two sample F test.'
  • What alternative hypothesis do you select if you are testing if sigma1 is greater than sigma2?
    You select the right-tailed alternative hypothesis (sigma1 > sigma2).
  • Why is it important to write down the F statistic even if not required?
    It is good practice for clarity and helps in interpreting the test results.
  • What does rejecting the null hypothesis in a two-sample F-test allow you to conclude?
    It allows you to conclude that there is sufficient evidence that the variance or standard deviation of one sample exceeds the other.
  • If you are given raw data instead of summary statistics, what is the first step before running the F-test?
    The first step is to enter the raw data into the calculator's lists (e.g., L1 and L2).
  • What is the significance of the alpha level in hypothesis testing?
    The alpha level is the threshold for significance; it determines when you reject the null hypothesis based on the p-value.