Step 1.
Set up hypotheses and determine level of significance
Ho
Ha: Should the alternative hypothesis be upper-tailed, lower-tailed, or two-tailed?
Select the appropriate test statistic
Insert Specific Formula (Consider sample size to determine Z-score or T-distribution)
Step 3. Set up decision rule
Step 4.
Step 5.
Do NOT use your level of significance as a part of your decision rule. Be sure to use
only the critical values found in your appendices. Critical values are based upon the type
of test used, your sample size or degrees of freedom, your alternative hypothesis
(upper-tailed, lower-tailed, or two-tailed), and your level of significance.
When using a two-tailed test, be sure to include both positive and negative values of the
critical value.
Be sure to include the equal sign. For example, "Reject Ho if Z2 1.960."
Compute the test statistic.
Please show all computations. If you do not show your computations, you will not
receive credit, even if your test statistic is correct.
Conclusion
There should be two parts to your conclusion-1) Your decision to either reject or fail to
reject the null hypothesis; and 2) You conclusion. Please state both portions. If we reject
the null hypothesis for an upper-tailed test, we can simply say "Reject the null hypothesis
because XXX value is greater than YYY value.
Your conclusion statement should also reflect the null and alternative hypotheses. For
example, "We have statistically significant evidence to indicate a difference in..."
PROBLEM XIV, "Average adult Americans are about one inch taller, but nearly a whopping 25 pounds
heavier than they were in 1960," according to a new report from the Centers for Disease Control and
Prevention. The bad news, says the CDC, is that average BMI has increased among adults from
approximately 25 in 1960 to 28 in 2014. Boston is considered one of America's healthiest cities. To test
whether the weight gain since 1960 was similar in Boston, a sample of 25 adults was taken. The sample
had a mean increase of 17 pounds, with a standard deviation of 8.6 pounds. Is Boston significantly
different in terms of weight gain since 1960? Run the appropriate test at a 5% level of significance.
1. Set Up Hypothesis and Determine Level of Significance
2. Select the Appropriate Test Statistic
3. Set Up the Decision Rule
4. Compute the Test Statistic
5. Decision and Conclusion