A researcher is studying the average cost of traveling for a college student. As part of their research, they would like to learn more about the average yearly money spent to travel to and from home by air. In a random sample of 130 students, the mean travel cost by air was $1180 with a standard deviation of $535. Use these sample data to answer the following questions. A. Use the five-step hypothesis testing procedure outlined below to determine if there is evidence that the mean travel cost by air for a college student is different from $1500 yearly.  Use Minitab to conduct a single sample mean t-test. You should not need to do any calculations by hand. Remember to include all relevant Minitab output and identify your answers to each step. Activity 2_B: Construct a 95% confidence interval to estimate the mean travel cost by air. Remember to include all relevant Minitab output and to identify your answer. You should not need to do any calculations by hand. Activity 2_C: What sample size would be needed to construct a 95% confidence interval to estimate the average air travel cost for a college student with a margin of error of ±$50? You will need to do calculations by hand. Show all of your work using the equation editor.

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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Activity 2: Transportation Cost

A researcher is studying the average cost of traveling for a college student. As part of their research, they would like to learn more about the average yearly money spent to travel to and from home by air. In a random sample of 130 students, the mean travel cost by air was $1180 with a standard deviation of $535. Use these sample data to answer the following questions.

A. Use the five-step hypothesis testing procedure outlined below to determine if there is evidence that the mean travel cost by air for a college student is different from $1500 yearly.  Use Minitab to conduct a single sample mean t-test. You should not need to do any calculations by hand. Remember to include all relevant Minitab output and identify your answers to each step.

Activity 2_B:

Construct a 95% confidence interval to estimate the mean travel cost by air. Remember to include all relevant Minitab output and to identify your answer. You should not need to do any calculations by hand.

Activity 2_C:

What sample size would be needed to construct a 95% confidence interval to estimate the average air travel cost for a college student with a margin of error of ±$50? You will need to do calculations by hand. Show all of your work using the equation editor.

 

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