Question

In: Math

Commute times in the U.S. are heavily skewed to the right. We select a random sample...

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 230 people from the 2000 U.S. Census who reported a non-zero commute time.

In this sample the mean commute time is 28.6 minutes with a standard deviation of 19.3 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance.

What is the $p$-value for this hypothesis test?

Your answer should be rounded to 4 decimal places

Solutions

Expert Solution


Related Solutions

1. Commute times in the U.S. are heavily skewed to the right. We select a random...
1. Commute times in the U.S. are heavily skewed to the right. We select a random sample of 240 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 28.9 minutes with a standard deviation of 19.0 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is...
A simple random sample of size n=36 is obtained from a population that is skewed right...
A simple random sample of size n=36 is obtained from a population that is skewed right with μ=74 and σ=24. ​(a) Describe the sampling distribution of overbarx. ​(b) What is P ( x overbar > 80.6 )​? ​(c) What is P (x overbar ≤64.6​)? ​(d) What is P ( 70<x<80​?) ​(a) Choose the correct description of the shape of the sampling distribution of overbarx. A.The distribution is skewed left. B.The distribution is uniform. C.The distribution is approximately normal. D.The distribution...
Suppose a simple random sample of size n=81is obtained from a population that is skewed right...
Suppose a simple random sample of size n=81is obtained from a population that is skewed right with mu equals 77and sigma equals 9 . ​(a) Describe the sampling distribution of x b) What is Upper P left parenthesis x overbar greater than 78.15 right parenthesis​? ​(c) What is Upper P left parenthesis x overbar less than or equals 74.6 right parenthesis? ​(d) What is Upper P left parenthesis 75.85 less than x overbar less than 79.05 right parenthesis? .
The times that college students spend studying per week have a distribution skewed to the right...
The times that college students spend studying per week have a distribution skewed to the right with a mean of 8.3 hours and a standard deviation 2.6 of hours. Find the probability that the mean time spent studying per week for a random sample of 55 college students would be a. between 7.6 and 8.4 hours. Round your answer to two decimal places. b. less than 8.1 hours. Round your answer to two decimal places. THE ANSWERS ARE NOT .49...
The times that college students spend studying per week have a distribution skewed to the right...
The times that college students spend studying per week have a distribution skewed to the right with a mean of 7.6 hours and a standard deviation of 2.6 hours. Find the probability that the mean time spent studying per week for a random sample of 45 college students would be a. between 7.0 and 7.9 hours. Round your answer to two decimal places. P=____ b. less than 7.3 hours. Round your answer to two decimal places. P=____
Imagine that we have a population that is positively (right) skewed that has a mean of...
Imagine that we have a population that is positively (right) skewed that has a mean of 114 and a standard deviation of 12. Using a computer simulation program, Jake creates a sampling distribution of size n=5 from this population and Alex creates a sampling distribution of size n=40 from this population. How would Alex’ and Jake’s sampling distributions compare to each other? Group of answer choices They would have the same mean and shape, but would differ in standard error....
In a random sample of 29 people, the mean commute time to work was 32.5 minutes...
In a random sample of 29 people, the mean commute time to work was 32.5 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a ​   t-distribution to construct a 95​% confidence interval for the population mean mu. What is the margin of error of mu​? Interpret the results. Round to one decimal place as needed.
In a random sample of 17 ​people, the mean commute time to work was 30.1 minutes...
In a random sample of 17 ​people, the mean commute time to work was 30.1 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean mu. What is the margin of error of mu​? Interpret the results.
In a random sample of 18 ​people, the mean commute time to work was 34.7 minutes...
In a random sample of 18 ​people, the mean commute time to work was 34.7 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of μ​? Interpret the results.
In a random sample of 21 people, the mean commute time to work was 34.1 minutes...
In a random sample of 21 people, the mean commute time to work was 34.1 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean μ. What is the margin of error of μ​? Interpret the results. The confidence interval for the population mean μ is __,__ ​(Round to one decimal place as​ needed.) The margin of error of μ is __,__...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT