Question

In: Statistics and Probability

Suppose the happiness of six teams has been measured on a scale that has a normally...

  1. Suppose the happiness of six teams has been measured on a scale that has a normally distributed population with a standard deviation of 3. Just for fun, you sample 33 six teams from this population and obtain a mean happiness of 23.95 and a standard deviation of 3.5006. Using an alpha value of α = 0.01, is this observed mean significantly different than an expected happiness of 22? (Two Tailed)
  1. State Null and Alternate Hypotheses.
  2. Apply test.
  3. Write your conclusion using critical value approach and p value approach.
  4. Construct a 95% confidence interval to estimate the population mean.  Write and justify your conclusion.

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