Hypothesis testing is often used to determine if the results of an event are statistically feasible or highly unlikely. Cases that are unlikely are still possible, but should be investigated further to determine why the result occurred.
- Conduct an experiment by flipping 10 coins and counting how many are heads up. This may be done using actual coins or by a random number simulator. Predict the mean for the number of heads that will occur when 10 coins are flipped.
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- Run the coin flipping experiment 36 times recording how many heads occur in each trial. State the results of these trials using the table below, then calculate the mean and standard deviation for the number of heads up in this sample data.
Heads:12345678910Freq:
x=__________________________ s=________________________________
- Construct a 95% confidence interval for the population mean number of heads up when flipping 10 coins. Does the population mean lie in this confidence interval?
- Conduct a hypothesis test where and from the predicted population mean. What is the tail area from the sample mean that was found? Is the null hypothesis accepted or rejected at the 20% level of significance?
- Draw a sketch showing the results of the hypothesis test. Shade the tail area from the sample mean in this test.
