Vegetarians' Weights The mean weight of all 20-year-old women is 128 pounds (http://www.kidsgrowth.com). A random sample of 40 vegetarian women who are 20 years old showed a sample mean of 122 pounds with a standard deviation of 15 pounds. The women's measurements were independent of each other. a. Determine whether the mean weight for 20-year old vegetarian women is significantly less than 128. using a significance level of 0.05. b. Now suppose the sample consists of 100 vegetarian women who are 20 years old. and repeat the test. c. Explain what causes the difference between the p-values for parts a and b.
Vegetarians' Weights The mean weight of all 20-year-old women is 128 pounds (http://www.kidsgrowth.com). A random sample of 40 vegetarian women who are 20 years old showed a sample mean of 122 pounds with a standard deviation of 15 pounds. The women's measurements were independent of each other. a. Determine whether the mean weight for 20-year old vegetarian women is significantly less than 128. using a significance level of 0.05. b. Now suppose the sample consists of 100 vegetarian women who are 20 years old. and repeat the test. c. Explain what causes the difference between the p-values for parts a and b.
Solution Summary: The author explains how to perform a one-sample t -test using Minitab.
Vegetarians' Weights The mean weight of all 20-year-old women is 128 pounds (http://www.kidsgrowth.com). A random sample of 40 vegetarian women who are 20 years old showed a sample mean of 122 pounds with a standard deviation of 15 pounds. The women's measurements were independent of each other.
a. Determine whether the mean weight for 20-year old vegetarian women is significantly less than 128. using a significance level of 0.05.
b. Now suppose the sample consists of 100 vegetarian women who are 20 years old. and repeat the test.
c. Explain what causes the difference between the p-values for parts a and b.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License