Question

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


Related Solutions

A researcher wishes to determine whether the systolic blood pressure of people who follow a vegetarian...
A researcher wishes to determine whether the systolic blood pressure of people who follow a vegetarian diet is, on average, lower than the systolic blood pressure of those who do not follow a vegetarian diet. Independent simple random samples of 85 vegetarian and 75 nonvegetarians yielded the following sample statistics: Vegetarians Nonvegetarians Mean = 124.1 Mean = 138.7 s1 = 38.7 s2 = 39.2             Use the significance level of 0.01 to test the claim of the researcher.
TWO MEANS A researcher wishes to determine whether people with high blood pressure can reduce their...
TWO MEANS A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to test the claim that those who followed the diet have a lower mean blood pressure than those who did not followed the diet. Followed the diet: n1 = 85, x ̅_1 = 189.1 s1 = 38.7 Did not follow the diet: n2 = 75, x ̅_2 = 203.7 s2 = 39.2...
A medical researcher wishes to try three different techniques to lower the blood pressure of patients...
A medical researcher wishes to try three different techniques to lower the blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded group1 group 2 group 3 13 8 6 12 6 4 11 4 3 15 7...
A medical researcher wishes to try three different techniques to lower blood pressure of patients with...
A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded, with data as shown below. The reasearcher will use this data to test the claim that there...
A medical researcher wishes to try three different techniques to lower the blood pressure of patients...
A medical researcher wishes to try three different techniques to lower the blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded. Find the test statistic F to test the claim that there is no difference between the...
2. A researcher wishes to determine whether there is a difference in the average age of...
2. A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected from each group. Their ages are recorded below. Test the claim that at least one mean is different from the others. Use α = 0.01. Resource: The One-Way ANOVA Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical...
6. A medical researcher wishes to try three different techniques to lower blood pressure of patients...
6. A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject’s blood pressure is recorded. Alpha=.05 Group 1 Group 2 Group 3 13 8 8 12 5 12 11 2 4...
A researcher wishes to investigate the idea that eating sea salt raises blood pressure less than...
A researcher wishes to investigate the idea that eating sea salt raises blood pressure less than eating normal table salt. He randomly selects two groups, each with 13 people. He arranges that Group 1 will be on a high sea salt diet for 2 weeks, while Group 2 will be on a high table salt diet. He measures their blood pressure after the two weeks. The mean systolic blood pressure for Group 1, x¯1x¯1, is found to be 126 with...
Q1. Perform a test of hypothesis to determine whether the average TiQ is lower than the...
Q1. Perform a test of hypothesis to determine whether the average TiQ is lower than the industry standard of 2.5 minutes (150 seconds). Use a significance level of α=0.05.   I just need to know the null and alternative hypothesis for this scenario and the decision rule. Since I can't upload the file, the decision rule can just be an example with dummy numbers.
Q1. Perform a test of hypothesis to determine whether the average TiQ is lower than the...
Q1. Perform a test of hypothesis to determine whether the average TiQ is lower than the industry standard of 2.5 minutes (150 seconds). Use a significance level of α=0.05.   I just need to know the null and alternative hypothesis for this scenario and the decision rule. Since I can't upload the file, the decision rule can just be an example with dummy numbers.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT