A statistician is trying to determine if eating a healthy vegetable diet will help control blood pressure. The statistician compared 18 people on a healthy vegetable diet (eat vegetables with every meal) with an average blood pressure of 123 mmHg and a standard deviation of 10mmHg to 40 people who did not have a healthy vegetable diet. The 40 people had an average blood pressure of 132mmHg with a standard deviation of 10 mmHg. Assume blood pressure values are normally distributed. At the 5% significance level determine if the average blood pressure of people on a healthy vegetable diet is better than those who are not on one. Take the people on the vegetable diet as population 1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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Question 12: give the conclusion
Give the conclusion.
Reject the null since the test statistic is in the rejection region.
Fail to reject the null since the test statistics is not in the rejection region.
Transcribed Image Text:Give the conclusion. Reject the null since the test statistic is in the rejection region. Fail to reject the null since the test statistics is not in the rejection region.
A statistician is trying to determine if eating a healthy vegetable diet will
help control blood pressure. The statistician compared 18 people on a
healthy vegetable diet (eat vegetables with every meal) with an average
blood pressure of 123 mmHg and a standard deviation of 10mmHg to 40
people who did not have a healthy vegetable diet. The 40 people had an
average blood pressure of 132mmHg with a standard deviation of 10
mmHg. Assume blood pressure values are normally distributed. At the
5% significance level determine if the average blood pressure of people
on a healthy vegetable diet is better than those who are not on one. Take
the people on the vegetable diet as population 1.
Transcribed Image Text:A statistician is trying to determine if eating a healthy vegetable diet will help control blood pressure. The statistician compared 18 people on a healthy vegetable diet (eat vegetables with every meal) with an average blood pressure of 123 mmHg and a standard deviation of 10mmHg to 40 people who did not have a healthy vegetable diet. The 40 people had an average blood pressure of 132mmHg with a standard deviation of 10 mmHg. Assume blood pressure values are normally distributed. At the 5% significance level determine if the average blood pressure of people on a healthy vegetable diet is better than those who are not on one. Take the people on the vegetable diet as population 1.
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