Question

In: Statistics and Probability

Suppose that the amount of time that Parsnip takes to eat his food follows an approximate...

Suppose that the amount of time that Parsnip takes to eat his food follows an approximate normal distribution with mean 40.75 seconds and standard deviation 4.8 seconds. A simple random sample of 20 days is selected and the amount of time that Parsnip takes to eat his food is determined for each day. If appropriate, describe completely the sampling distribution of , the resulting mean amount of time that Parsnip takes to eat his food for this sample of 20 days.

Solutions

Expert Solution

Solution:

Given:  the amount of time that Parsnip takes to eat his food follows an approximate normal distribution with mean 40.75 seconds and standard deviation 4.8 seconds. thus and

Sample size = n = 20

We have to describe completely the sampling distribution of  the resulting mean amount of time that Parsnip takes to eat his food for this sample of 20 days.

Since  the amount of time that Parsnip takes to eat his food follows an approximate normal distribution, then sampling distribution of sample means also follows an approximate normal distribution with mean of sample means:

and standard deviation of sample means is:

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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...
Suppose we think that listening to classical music will affect the amount of time it takes...
Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep; we conduct a study to test this idea. Answer all of the following questions: Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study, we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Supposed the...
Suppose you know that the amount of time it takes your friend Susan to get from...
Suppose you know that the amount of time it takes your friend Susan to get from her residence to class averages  50 minutes, with a standard deviation of 55 minutes. What proportion of Susan's trips to class would take more than  50 minutes? . Enter your answers accurate to two decimal places. What proportion of her class would take more than  50 minutes? What proportion of Susan's trips to class would take less than 40 minutes? What proportion of Susan's trips to class...
A study of the amount of time it takes a mechanic to rebuild the transmission for...
A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet Colorado shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly​ selected, find the probability that their mean rebuild time is less than 8.9 hours. Round to four decimal places. A.0.9756 B.0.9605 C.0.4276 D.0.9589
A confidence interval is desired for the amount of time it takes a component of a...
A confidence interval is desired for the amount of time it takes a component of a product to move from one workstation to the next. The standard deviation of the population is 5 seconds. (Round your answers up to the nearest whole number.) (a) How many measurements should be made to be 99% certain that the margin of error, maximum error of estimation, will not exceed 2 seconds? (b) What sample size is required to be 99% confident for a...
A study of the amount of time it takes a mechanic to rebuild the transmission for...
A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours. Group of answer choices
A study of the amount of time it takes a mechanic to rebuild the transmission for...
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Suppose 40 mechanics are randomly selected, what is the probability the average time to rebuild the transmission of a 1992 Chevrolet Cavalier for these 40 mechanics is more than 8.1 hours?
A study of the amount of time it takes a mechanic to rebuild the transmission for...
A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.6 hours and the standard deviation is 2.1 hours. If 36 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.9 hours. please add explanation and solve
A study of the amount of time it takes a mechanic to rebuild the transmission for...
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 7.7 hours. A. 0.8531 B. 0.9634 C. 0.9712 D. 0.9931
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?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT