A counselor at a large high school wants to estimate the mean amount of sleep μ that students got the previous night. She selects a random sample of 10 students and asks them to record the number of hours they slept last night. Based on this sample, the confidence interval for the population mean amount of sleep for all students at the high school is (5.4, 7.8) hours.
(a) What is the point estimate that was used to create the interval?
What is the margin of error?
(b) It is recommended that high school students get 8 hours or more of sleep each night. Based on this survey, the students claim that, on average, students at this high school are not getting the recommended amount of sleep.
Does the confidence interval support this claim?
Explain.
A counselor at a large high school wants to estimate the mean amount of sleep μ that students got the previous night. She selects a random sample of 10 students and asks them to record the number of hours they slept last night. Based on this sample, the 95% confidence interval for the population mean amount of sleep for all students at the high school is (5.39, 7.81) hours.
(c) Interpret the confidence interval.
(d) Interpret the confidence level.
The link below will take you to an applet exploring confidence intervals. Use it to answer the next two questions.
http://digitalfirst.bfwpub.com/stats_applet/stats_applet_4_ci.html
What happens to the confidence intervals when you lower the confidence level?
What happens to the confidence intervals when you increase the confidence level?
What happens to the confidence intervals when you lower the sample size?
What happens to the confidence intervals when you increase the sample size?
What is the point estimate that was used to create the interval?
What is the margin of error?
Based on this poll, a reporter claims that more than two-thirds of U.S. adults favor such an amendment.
Does the confidence interval support this claim?
Explain.
Explain why
Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ounces?
Explain
Does the confidence interval provide convincing evidence that the true mean volume is 12 ounces?
Explain
Interpret the confidence interval.
Does the confidence interval give convincing evidence of a difference in the true mean number of pairs of shoes for boys and girls at the school?
Explain
Explain
Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.
