1. Construct a 90% confidence interval that would contain the Rampo College population mean of weekly time spent texting their friends by college students.

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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., pus = 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.
Transcribed Image Text: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., pus = 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.
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