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In: Statistics and Probability

A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than...

A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75 nonvegetarians yielded the following sample statistics for systolic blood pressure:

Vegetarians

n1= 85

= 124.1 mmHg

s1 = 38.7 mmHg

Nonvegetarians

n2 = 75

= 138.7 mmHg

s2 = 39.2 mmHg

Use a significance level of 0.01 and P-value method to test the claim that the mean systolic blood pressure of vegetarians is lower than the mean systolic blood pressure of nonvegetarians. Do not assume that the population standard deviations are equal. Is being a vegetarian lower the risk of having blood pressure related illness?

  1. State the requirement
  2. State the null and alternative hypotheses with the correct symbols
  3. Write all the statistics
  4. Write the formula of the test statistic and find the test statistic (you may use a calculator, but you are required to write down the command and all the numbers you enter)
  5. Find the critical value or the P-value (you may use a calculator, but you are required to write down the command and all the numbers you enter)
  6. Decide to reject or fail to reject H0 and explain the reason
  7. Wording the conclusion
  8. Answer the question based on your result above

Solutions

Expert Solution

orchestra answered 2 years ago
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