Chapter 8 Lab Problems

  1. Chapter 8 Problem #45

Humerus bones from the same species of animal tend to have approximately the same​ length-to-width ratios. When fossils of humerus bones are​discovered, archaeologists can often determine the species of animal by examining the​ length-to-width ratios of the bones. It is known that species A exhibits a mean ratio of 8.5. Suppose 41 fossils of humerus bones were unearthed at an archaeological​ site, where species A is believed to have lived. The​ length-to-width ratios of the bones arein the file BONES.csv. Test whether the population mean ratio of all bones of this particular species differs from 8.5. Use α=.01

  1. State the null and alternative hypotheses
  1. What is the test statistic
  2. What is the p-value
  3. State your conclusion
  1. Chapter 8 Problem # 57

A sample of five​measurements, randomly selected from a normally distributed​ population, resulted in the following summary​ statistics:.

  1. Test the null hypothesis that the mean of the population is 6against the alternative​ hypothesis . Use α=.05.
  1. State the null and alternative hypotheses
  1. What is the test statistic
  2. What is the p-value
  3. State your conclusion
  1. Test the null hypothesis that the mean of the population is 6against the alternative​ hypothesis . Use α=.05.
  1. State the null and alternative hypotheses
  1. What is the test statistic
  2. What is the p-value
  3. State your conclusion
  1. Chapter 8 Problem # 76

Suppose a random sample of 100 observations from a binomial population gives a value of and you wish to test the null hypothesis that the population parameter is equal to against the alternative hypothesis that is less than.

  1. Noting that of what does your intuition tell​ you? Does the value of appear to contradict the null​ hypothesis?
  2. Use the​ large-sample -test to test against . Use α=.05. How do the test results compare with your intuitive decision from part a.
  1. State the null and alternative hypotheses
  1. What is the test statistic
  2. What is the p-value
  3. State your conclusion
  1. Chapter 8 Problem # 79

A random sample of 50 costumers taste-tested a new snack food. Their response were coded (0: do not like, 1: like) and recorded in the file SNACK.csv.

  1. Test against where is the proportion of customers who do not like the snack food. Use α=.10.
  1. State the null and alternative hypotheses
  1. What is the test statistic
  2. What is the p-value
  3. State your conclusion