Question

In: Statistics and Probability

The length of time junior high school students sleep per night follows an approximate uniform distribution...

The length of time junior high school students sleep per night follows an approximate uniform distribution from seven to eleven hours. Suppose we randomly select a junior high student.

1. Find the probability that the randomly selected student sleeps less than 8 1/2 hours per night.

A. 0. 375

B. 0. 4705

C. 0. 7727

D. . 2143

2. On average, how long does a junior high school student sleep per night ?

A. 9 hours

B. 8 hours

C. 4 hours

D. 11 hours

3. Find the probability that the randomly selected student sleeps eight to twelve hours per night?

A. 0. 4705

B. 0. 375

C. 0. 7727

D. . 2143

4. 65 % of junior high school students sleep at least how many hours ?

A. 8. 4 hours

B. 7. 8 hours

C. 6. 5 hours

D. 9. 6 hours

Solutions

Expert Solution


Related Solutions

5.28  Total sleep time of college students. In Example 5.4, the total sleep time per night...
5.28  Total sleep time of college students. In Example 5.4, the total sleep time per night among college students was approximately Normally distributed with mean μ = 6.78 hours and standard deviation σ = 1.24 hours. You plan to take an SRS of size n = 120 and compute the average total sleep time. (a) What is the standard deviation for the average time? (b) Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample...
Average Sleep Time on a School Night Students 4 hours 8 5 hours 9 6 hours...
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) (article claim) Ha: 72.7% of high school students (grade 9-12) do get enough sleep at night. Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet. Create...
Average Sleep Time on a School Night Students 4 hours 8 5 hours 9 6 hours...
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...
We know that the population distribution for the number of hours that Americans sleep per night...
We know that the population distribution for the number of hours that Americans sleep per night is normally distributed with a mean of 6.7 and a standard deviation of 1.4. a) What is the probability that a single, randomly draw observation (i.e., American) from this distribution sleeps less than 5 hours per night? b) What is the probability that a randomly drawn observation falls between 6 and 8 hours per night? c) What is the probability that a randomly draw...
In a class survey, students are asked how many hours they sleep per night. In the...
In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution. c) Please use...
The time that it takes for the next train to come follows a Uniform distribution with...
The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/10 where x goes between 1 and 11 minutes. Round answers to 4 decimal places when possible. A)Find the probability that the time will be at most 7 minutes. B)Find the probability that the time will be between 4 and 6 minutes. C)The standard deviation is?
A high school principal is interested in the amount of time her students spend per week...
A high school principal is interested in the amount of time her students spend per week working at an after school job. 37 students are randomly selected and their working hours are recorded. The sample had a mean of 12.3 hours and a standard deviation of 11.2 hours. We would like to construct an 80% confidence interval for the population mean hours worked weekly by high school students. What critical value will you use for an 80% confidence interval? Give...
a. In general, high school and college students are the most pathologically sleep-deprived segment of the...
a. In 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...
Many high school students take the SAT's twice; once in their Junior year and once in...
Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. The Senior year scores (x) and associated Junior year scores (y) are given in the table below. This came from a random sample of 35 students. Use this data to test the claim that retaking the SAT increases the score on average by more than 25 points. Test this claim at the 0.10 significance level. (a) The claim is that the...
The distribution of the number of siblings for students at a large high school is skewed...
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? A Skewed to the right with standard deviation 0.7...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT