1-Sample t Exercise

1
1-Sample t Exercise

• Exercise objective Utilize what you have learned
  to conduct and analyze a one sample t-test using
  MINITABTM.
• The last engineering estimation said we would
  achieve a product with average results of 32
  parts per million (ppm).
• We want to test if we are achieving this
  performance level, we want to know if we are on
  target, with 95 confidence in our answer. Use
  data in column ppm VOC
• 3. Are we on Target?

2
1-Sample t Exercise Solution

• Since we do not know the population Standard
  Deviation, we will use the 1 sample T test to
  determine if we are at target.

3
1-Sample t Exercise Solution

• After selecting column C1 and setting Hypothesis
  mean to 32.0, click Graphs and select
  Histogram of data to get a good visualization
  of the analysis.
• Depending on the test you are running you may
  need to select Options to set your desired
  Confidence Interval and hypothesis. In this case
  the MINITABTM Defaults are what we want.

4
1-Sample t Exercise Solution

• Because we used the option of Graphs, we get a
  nice visualization of the data in a histogram AND
  a plot of the null hypothesis relative to the
  confidence level of the population Mean.
• Because the null hypothesis is within the
  confidence level, you know we will fail to
  reject the null hypothesis and accept the
  equipment is running at the target of 32.0.

5
1-Sample t Exercise Solution

• In MINITABTMs Session Window (ctrl M), you can
  see the P-value of 0.201. Because it is above
  0.05, we fail to reject the null hypothesis so
  we accept the equipment is giving product at a
  target of 32.0 ppm VOC.