Question

Question 4:

An article in Wikipedia claims that the mean body temperature of adults is less than 98.6° F. This goes against everything you’ve ever been taught, so you gather 565 healthy adults and observe a mean body temperature of 98.2°F, with the sample standard deviation of 2.6°F. Test the article’s claim at a 5% level of significance.

If the problem is a confidence interval:

• Show whether the criteria for approximate normality are met. (1 point)

• Summarize the sample statistics. (1 point)

• Give the formula for the margin of error or test statistic. (1 point)

• Give the formula for the confidence interval. (1 point)

• Based on the technology results provided, write the 95% confidence interval. (3 points)

• Interpret the results in the context of the problem (3 points)

If the problem is a hypothesis test:

• Give the null and alternative hypotheses; (2 points)

• Is this a one‐tailed or two‐tailed test? Think about the null hypothesis. How do you know
  that this is a one or two‐tailed test? (1 point)

• Show whether the criteria for approximate normality are met. (1 point)

• Summarize the sample statistics (1 point)

• Give the formula for the test statistic; (1 point)

• Using the technology results provided, point out the value for the test statistics, degree of
  freedom, and the p-value. (1 point)

• Using the p-value and the significance level, make a decision on the null hypothesis. (1
  point)

• What decision can you make about the alternative hypothesis? (1 point)

• Write your conclusion in the context of the problem. (1 point)

Answer 1