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ethat a survey containing 49 students from Ram ted to figure out how much time college students eek. In your sample, you find a sample mean on of 7 hours. onstruct a 90% confidence interval that would con ean of weekly time spent texting their friends

ethat a survey containing 49 students from Ram ted to figure out how much time college students eek. In your sample, you find a sample mean on of 7 hours. onstruct a 90% confidence interval that would con ean of weekly time spent texting their friends

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q3: Suppose that a survey containing 49 students from Rampo College (randomly selected) was conducted to figure out how much time college students typically spend texting their friends each week. In your sample, you find a sample mean of 8 hours, with a sample standard deviation of 7 hours. 1. Construct a 90% confidence interval that would contain the Rampo College population mean of weekly time spent texting their friends by college students. 2. A few years later, a nationwide study was conducted and the US student spends on a average 6 hours texting their friends per week (i.e., µus = 7), with a population standard deviation of 5 (i.e., oUs = 5). What sample mean would need to be obtained in order to determine if rampo College students spend (statistically) significantly more time texting their friends than students in the US in general. Use a 0.05 significance level. 3. Suppose that there is a belief that rampo students text their friends just like the US students in general. You are skeptical about this because you think that rampo students text more than the US students. Test this hypothesis. What test statistic are you going to use and why? Find the p-value for your results using 0.05 significance level, and construct a 95% confidence interval. Q4: For this question, you will have to google and find out more about the power of a statistical test. It should be straightforward... Go back to Q3. Suppose that you now have access to the entire population of Rampo College students (i.e., not just your small sample of 49 students). You find that the population mean texting time for rampo students is 8.5 hours (i.e., µ deviation of 5 (i.e., orampo = 5). Find the probability that, if the null hypothesis from Q3.3. was rejected, the alternative hypothesis is true? In other words, find the power of the sta- tistical test that you used in Q3.3. Is the power you found satisfactory? Briefly comment about your results in your own words. rampo = 8.5) with population standard ||
Transcribed Image Text:Q3: Suppose that a survey containing 49 students from Rampo College (randomly selected) was conducted to figure out how much time college students typically spend texting their friends each week. In your sample, you find a sample mean of 8 hours, with a sample standard deviation of 7 hours. 1. Construct a 90% confidence interval that would contain the Rampo College population mean of weekly time spent texting their friends by college students. 2. A few years later, a nationwide study was conducted and the US student spends on a average 6 hours texting their friends per week (i.e., µus = 7), with a population standard deviation of 5 (i.e., oUs = 5). What sample mean would need to be obtained in order to determine if rampo College students spend (statistically) significantly more time texting their friends than students in the US in general. Use a 0.05 significance level. 3. Suppose that there is a belief that rampo students text their friends just like the US students in general. You are skeptical about this because you think that rampo students text more than the US students. Test this hypothesis. What test statistic are you going to use and why? Find the p-value for your results using 0.05 significance level, and construct a 95% confidence interval. Q4: For this question, you will have to google and find out more about the power of a statistical test. It should be straightforward... Go back to Q3. Suppose that you now have access to the entire population of Rampo College students (i.e., not just your small sample of 49 students). You find that the population mean texting time for rampo students is 8.5 hours (i.e., µ deviation of 5 (i.e., orampo = 5). Find the probability that, if the null hypothesis from Q3.3. was rejected, the alternative hypothesis is true? In other words, find the power of the sta- tistical test that you used in Q3.3. Is the power you found satisfactory? Briefly comment about your results in your own words. rampo = 8.5) with population standard ||
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