Question

In: Statistics and Probability

9. You are interested in studying the average duration of time (in minutes) it takes Temple...

9. You are interested in studying the average duration of time (in minutes) it takes Temple University students to drive to campus. The conventional wisdom is that on average it takes students 30 minutes to drive to campus. To examine this, you randomly sample n=15 students and record this information. From the sample, you compute a sample mean of 26 with a sample standard deviation of 6. Conduct a two-tailed hypothesis test with 95% confidence. Then, construct a 95% confidence interval to confirm your answer.

Solutions

Expert Solution

this confidence interval does not contain 30 so our result is true.

please like ??


Related Solutions

We are interested in studying whether there is a difference in the time it takes for...
We are interested in studying whether there is a difference in the time it takes for patients to recover after surgery for two given hospitals. A simple random sample of cardiac surgery patients were taken from each hospital. The results were summarized in the table below. It shows the hospital one attended (Hospital A vs Hospital B), and the average length of stay (measured in days) for patients after cardiac surgery. n Average Length of Stay (in days) Sample Standard...
Suppose you are interested in measuring the amount of time, on average, it takes you to...
Suppose you are interested in measuring the amount of time, on average, it takes you to make your commute to school. You've estimated that the average time is 35.68 minutes with a standard deviation of 6.17 minutes. Assuming that your estimated parameters are correct and the commute time is normally distributed, what is the probability that the average commute time of 11 random days is greater than 36.86 minutes? Question 8 options: 1) 0.2629 2) 0.7371 3) 0.5758 4) 0.8246...
The average time it takes to complete a particular sociology test is 86.5 minutes. In a...
The average time it takes to complete a particular sociology test is 86.5 minutes. In a recent study of 26 individuals that took it a particular test the average amount of time to complete the sociology test was 83.4 minutes. The sample standard deviation was 8.7 minutes. At the 0.10 level of significance can it be concluded that the average amount of time it takes to complete the particular sociology test is less than 86.5 minutes.
A car manufacturer has determined it takes an average time of 54 minutes to produce a...
A car manufacturer has determined it takes an average time of 54 minutes to produce a car. The population standard deviation is assumed to be 4 minutes. The company pays a bonus to the workers for every car produced in 46 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. Round all probabilities to four decimal places and times to two decimal places. a)...
A car manufacturer has determined it takes an average time of 54 minutes to produce a...
A car manufacturer has determined it takes an average time of 54 minutes to produce a car. The population standard deviation is assumed to be 4 minutes. The company pays a bonus to the workers for every car produced in 46 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. (Round all probabilities to four decimals and times to two decimals) a) What is...
A large university is interested in learning about the average time it takes students to drive...
A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they spent traveling to campus, the average and standard deviation were 21.5 and 4.32 respectively. This variable, travel time, was then used conduct a test of hypothesis. The goal was to determine if the average travel time of all the university's students differed from 20 minutes. Use a...
A manager wishes to see if the time (in minutes) it takes for their workers to...
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds at work. A random sample of 25 workers' times were collected before and after. Test the claim that the time to complete the task has changed at a significance level of α=0.10. For the context of this problem, μd=μafter−μbefore where the first data set represents after and the second data...
A manager wishes to see if the time (in minutes) it takes for their workers to...
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will decrease when they are allowed to wear ear buds at work. A random sample of 10 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has decreased at a significance level of α=0.01α=0.01. If you wish to...
A manager wishes to see if the time (in minutes) it takes for their workers to...
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds to listen to music at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypotheis T-test for the claim that the time to complete the task has changed at a significance level of α=0.01α=0.01....
A manager wishes to see if the time (in minutes) it takes for their workers to...
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is different if they are wearing earbuds.   A random sample of 20 workers' times were collected before and after wearing earbuds. Test the claim that the time to complete the task will be different, i.e. meaning has production differed at all, at a significance level of α = 0.01 For the context of this problem, μD = μbefore−μafter where the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT