A. Solve the giv em on nypotnesis teSting one-Sample mean. Sh the complete solution. A study found that the average stopping distance of a school bus traveling 50 miles per hour was 264 feet. A group of automotive engineers decided to conduct a study of its school buses and found that for 20 randomly selected buses, the average stopping distance of buses traveling 50 miles per hour was 262.3 feet. The standard deviation of the population was 3 feet. Test the claim that the average stopping distance of the company's buses is actually less than 264 feet at a = 0.01. Assume that the variable is normally distributed. 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistic to be used and the reasons for its selection? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A. Solve the given problem on hypothesis testing one-sample mean. Show
the complete solution.
A study found that the average stopping distance of a school bus traveling
50 miles per hour was 264 feet. A group of automotive engineers decided to
conduct a study of its school buses and found that for 20 randomly selected
buses, the average stopping distance of buses traveling 50 miles per hour
was 262.3 feet. The standard deviation of the population was 3 feet. Test the
claim that the average stopping distance of the company's buses is actually
less than 264 feet at a = 0.01. Assume that the variable is normally
distributed.
1. What are the appropriate hypotheses for the two-tailed test?
2. What is the test statistic to be used and the reasons for its selection?
3. What is the critical value c?
4. What is the value of the test statistic or the computed value?
5. Formulate a conclusion about the given situation.
Transcribed Image Text:A. Solve the given problem on hypothesis testing one-sample mean. Show the complete solution. A study found that the average stopping distance of a school bus traveling 50 miles per hour was 264 feet. A group of automotive engineers decided to conduct a study of its school buses and found that for 20 randomly selected buses, the average stopping distance of buses traveling 50 miles per hour was 262.3 feet. The standard deviation of the population was 3 feet. Test the claim that the average stopping distance of the company's buses is actually less than 264 feet at a = 0.01. Assume that the variable is normally distributed. 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistic to be used and the reasons for its selection? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation.
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