Average Sleep Time on a School Night |
Students |
4 hours |
8 |
5 hours |
9 |
6 hours |
14 |
7 hours |
12 |
8 hours |
15 |
9 hours |
4 |
10 hours |
0 |
Ho: 72.7% of high school students (grade 9-12) do not get enough sleep at night. (minimum 8 hours)
Ha: 72.7% of high school students (grade 9-12) do get enough sleep at night.
Sample size:
Sample mean:
Sample deviation:
Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.
Create graph to illustrates results.
Sample size: 62
The sample mean: 0.3065
Sample deviation: 0.0566
Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.
Observed | Hypothesized | |
0.3065 | 0.727 | p (as decimal) |
19/62 | 45/62 | p (as fraction) |
19. | 45.074 | X |
62 | 62 | n |
0.0566 | std. error | |
-7.43 | z | |
1.06E-13 | p-value (two-tailed) | |
0.1917 | confidence interval 95.% lower | |
0.4212 | confidence interval 95.% upper | |
0.1148 | margin of error |
The p-value is 0.0000.
Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that 72.7% of high school students (grade 9-12) do get enough sleep at night.
The 95% confidence interval of the true % of high school students who do get enough sleep at night is between 0.1917 and 0.4212.
Create graph to illustrates results.
Please give me a thumbs-up if this helps you out. Thank you!
Average Sleep Time on a School Night Students 4 hours 8 5 hours 9 6 hours...
The average adult is supposed to get 8 hours of sleep a night. A "sleep habits" survey answered by 28 randomly selected New Yorkers contained the question "How much sleep do you get per night?" The sample average was 7.75 hours, with a corresponding sample standard deviation of 0.8 hours. Conduct a hypothesis test to see if there is evidence that New Yorkers (who live, after all, in "the city that never sleeps") on average get less than 8 hours...
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow Age...
I n general, high school and college students are the most pathologically sleep-deprived segment of the population. Their alertness during the day is on par with that of untreated narcoleptics and those with untreated sleep apnea. Not surprisingly, teens are also 71 percent more likely to drive drowsy and/or fall asleep at the wheel compared to other age groups. (Males under the age of twenty-six are particularly at risk.) The accompanying data set represents the number of hours 25 college...
A random sample of 85 students finds that they, on average, they get 6.5 hours of sleep a night, with a sample standard deviation of 7 hours. Would you use the z-distribution or the t-distribution to construct a confidence interval? How do you know? Construct a 95% confidence interval for the population mean. How do you interpret this interval? Is it likely that students actually get 7 hours of sleep a night? How can you tell?
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. sample data follow. Age...
The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below. Complete the following hypothesis test: Ho: μ = 7, Ha: μ < 7, α = 0.05. 6 5.5 6.9 7.6 6.3 7.4 5.3 6.1 5.5 7.6 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find...
A professor at a university wants to estimate the average number of hours of sleep students get during exam week. On the first day of exams, she asked 27 students how many hours they had slept the night before. The average of the sample was 3.79 with a standard deviation of 1.224. When estimating the average amount of sleep with a 99% confidence interval, what is the margin of error? 1) 0.3549 2) 0.6546 3) 0.5839 4) 0.2356 5) 0.6527
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
It is recommended that adults get 8 hours of sleep each night. A researcher hypothesized college students got less than the recommended number of hours of sleep each night, on average. The researcher randomly sampled 20 college students and calculated a sample mean of 7.5 hours per night. If the researcher wanted to perform a one-sample t-test, which of the following is a correct statement? Choose the correct answer below. A. The distribution of sample means will be normal even...
You would like to conduct a survey to estimate the average number of hours of sleep UWEC students get per night. You would like a 95% confidence interval whose width is no more than 0.5 hours. a. What is the margin of error, ?? b. What is ?, the level of significance that corresponds to the confidence level? c. What is the multiplier (??/2)? e. Find the smallest sample size that would be reasonable to achieve your goal of a...