We appreciate your visit to A random sample of 100 teenagers found that during the summer the sample mean number of hours of sleep they get per day is 7. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
No, there is no evidence for the population mean representing number of hours of sleep for teenagers during summer is less than 8 hours.
Total number of teenager = 100
sample mean = 7.5 hours
sample standard deviation =2 hours
Conduct a one-tailed t-test with a significance level of 0.05.
The null hypothesis (H0) is ,
Population mean number of hours of sleep for teenagers during the summer is equal to 8 hours,
Alternative hypothesis (Ha) is ,
Population mean number of hours of sleep for teenagers during the summer is less than 8 hours.
Using the t-test formula,
t = (X - μ) / (s / √n)
where X is the sample mean,
μ is the population mean,
s is the sample standard deviation,
and n is the sample size.
Substitute the values given in the problem to get,
t = (7.5 - 8) / (2 / √100) = -2.5
The degrees of freedom for this test are (n - 1) = 99.
Using a t-distribution table with 99 degrees of freedom
And a significance level of 0.05,
critical value for a one-tailed test is -1.660.
Since our calculated t-value (-2.5) is less than the critical value (-1.660).
Reject the null hypothesis.
Therefore, there is evidence to support the claim that the population mean number of hours of sleep for teenagers during the summer is less than 8 hours.
Learn more about population mean here
brainly.com/question/14068526
#SPJ4
Thanks for taking the time to read A random sample of 100 teenagers found that during the summer the sample mean number of hours of sleep they get per day is 7. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
