Question

In: Statistics and Probability

You are doing research on how much sleep students get who are in a Master's degree...

You are doing research on how much sleep students get who are in a Master's degree program. You randomly select 300 students and determine what the mean number of hours they slept was 5.5 hours, with a standard deviation of .50 hours. What are the upper and lower confidence limits at the 95 percent confidence level?

Solutions

Expert Solution

Solution :

Given that,

= 5.5

= 0.50

n = 300

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * ( 0.50/ 300)

= 0.0566

At 95% confidence interval estimate of the population mean is,

- E < < + E

5.5 - 0.0566 < <5.5 + 0.0566

5.4434< < 5.5566

lower limit = 5.4434

upper limit = 5.5566


Related Solutions

Students who get more sleep get better grades. You want to estimate the hours of sleep...
Students who get more sleep get better grades. You want to estimate the hours of sleep per night that a college student gets. You select 29 students; on average they slept 6.2 hours with a standard deviation of 1.8 hours. The standard error is 0.334. In order to be 90% confident of an estimate of the population mean, what is the margin of error? (Enter the value with three decimal places, using form #.###)
Who knew how much work it could be to run a restaurant?! You are doing well...
Who knew how much work it could be to run a restaurant?! You are doing well in your new business and have done a wonderful job exploring the accounting equation, chart of accounts, and recording transactions. Previously, you did some research to find out what QuickBooks is and how it might be helpful in recording business transactions. You will do a bit more research on QuickBooks here to find out what it is capable of, beyond just recording business transactions....
A researcher is interested in whether college students get enough sleep. She suspects that they get...
A researcher is interested in whether college students get enough sleep. She suspects that they get less than 8 hours of sleep on average. The sample mean (x ̄) for 65 students was 7.08 hours. The standard deviation of number of hours students slept is s=1.8. (a) Determine the null and alternative hypothesis for the test. What is the parameter in this study? (b) The p-value for the test is <0.0001. Using a significance level of .05, write a one...
1.) 25 Pittsburgh residents were asked how much sleep they get per night. The mean was...
1.) 25 Pittsburgh residents were asked how much sleep they get per night. The mean was 7.2 hours and the standard deviation was 0.78 hours. Construct and interpret a 90% confidence interval for the true mean number of hours of sleep that Pittsburgh residents get per night. 2.) A sample of 11 Chevy Volt drivers resulted in them having a mean of 42.6 miles per gallon (mpg) and a standard deviation of 4.8 mpg. Construct and interpret a 95% confidence...
1. A researcher is interested in whether college students get enough sleep. She suspects that they...
1. A researcher is interested in whether college students get enough sleep. She suspects that they get less than 8 hours of sleep on average. The sample mean (x¯) for 65 students was 7.08 hours. The standard deviation of number of hours students slept is s=1.8. (a) Determine the null and alternative hypothesis for the test. What is the parameter in this study? (b) The p-value for the test is <0.0001. Using a significance level of .05, write a one...
Applied reserch methods. purpose of study: to determine if the amount of sleep college students get...
Applied reserch methods. purpose of study: to determine if the amount of sleep college students get affects their academic success explain the rationale and justification for this study and include the significance of the study
I am currently doing research and I need to find the correlation between "HOURS OF SLEEP"...
I am currently doing research and I need to find the correlation between "HOURS OF SLEEP" and "LPI SCORES" I want a table to look as below how would I achieve this on Excel. In short I want to find out what the average score someone gets when they get a certain amount of sleep. I have all the data in a spreadsheet but cannot get the table right. SLEEP HOURS                               LPI SCORES 4                                                      ?? 5 6 7 8 9...
The National Sleep Foundation (NSF) recommends that college students get between 8 and 9 hours of...
The National Sleep Foundation (NSF) recommends that college students get between 8 and 9 hours of sleep per night. Not believing this is happening at a local college, a random sample of 20 students resulted in a mean of 6.94 hours, with a standard deviation of 1.1 hours. Part 1 of 3 If it is assumed that hours of sleep for college students is approximately normally distributed, construct and interpret a 95% confidence interval statement as well as a confidence...
You will be conducting research for Mcdonald and providing analysis on how the economy is doing....
You will be conducting research for Mcdonald and providing analysis on how the economy is doing. You are going to act as a consultant and provide economic research using 2-3 different data indicators/points. You are going to find two relevant economic data indicators(examples, unemployment rate, inflation rate, employment rate, GDP, producer price index….etc) that are relevant to your industry and evaluate how the industry is going to be doing in the next 6 months given the economic data and forecasts...
Sleep – College Students: Suppose you perform a study about the hours of sleep that college...
Sleep – College Students: Suppose you perform a study about the hours of sleep that college students get. You know that for all people, the average is about 7 hours. You randomly select 50 college students and survey them on their sleep habits. From this sample, the mean number of hours of sleep is found to be 6.2 hours with a standard deviation of 0.86hours. We want to construct a 95% confidence interval for the mean nightly hours of sleep...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT