Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 25 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 93 minutes? The probability that a randomly selected time interval is longer than 93 minutes is approximately. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 93 minutes? The probability that the mean of a random sample of 16 time intervals is more than 93 minutes is approximately. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? The probability that the mean of a random sample of 41 time intervals is more than 93 minutes is approximately. (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. O A. The probability increases because the variability in the sample mean decreases as the sample size increases. O B. The probability increases because the variability in the sample mean increases as the sample size increases. Oc. The probability decreases because the variability in the sample mean decreases as the sample size increases. O D. The probability decreases because the variability in the sample mean increases as the sample size increases. (e) What might you conclude if a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? Choose the best answer below. O A. The population mean is 83 minutes, and this is an example of a typical sampling. O B. The population mean must be more than 83, since the probability is so low. O C. The population mean cannot be 83, since the probability is so low. O D. The population mean may be greater than 83.
Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 25 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 93 minutes? The probability that a randomly selected time interval is longer than 93 minutes is approximately. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 93 minutes? The probability that the mean of a random sample of 16 time intervals is more than 93 minutes is approximately. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? The probability that the mean of a random sample of 41 time intervals is more than 93 minutes is approximately. (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. O A. The probability increases because the variability in the sample mean decreases as the sample size increases. O B. The probability increases because the variability in the sample mean increases as the sample size increases. Oc. The probability decreases because the variability in the sample mean decreases as the sample size increases. O D. The probability decreases because the variability in the sample mean increases as the sample size increases. (e) What might you conclude if a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? Choose the best answer below. O A. The population mean is 83 minutes, and this is an example of a typical sampling. O B. The population mean must be more than 83, since the probability is so low. O C. The population mean cannot be 83, since the probability is so low. O D. The population mean may be greater than 83.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions is normally distributed with a standard deviation of 25 minutes, answer the following questions.
- **(a)** What is the probability that a randomly selected time interval between eruptions is longer than 93 minutes?
The probability that a randomly selected time interval is longer than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(b)** What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 93 minutes?
The probability that the mean of a random sample of 16 time intervals is more than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(c)** What is the probability that a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes?
The probability that the mean of a random sample of 41 time intervals is more than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(d)** What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below.
- A. The probability increases because the variability in the sample mean decreases as the sample size increases.
- B. The probability increases because the variability in the sample mean increases as the sample size increases.
- C. The probability decreases because the variability in the sample mean decreases as the sample size increases.
- D. The probability decreases because the variability in the sample mean increases as the sample size increases.
- **(e)** What might you conclude if a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? Choose the best answer below.
- A. The population mean is 83 minutes, and this is an example of a typical sampling.
- B. The population mean must be more than 83, since the probability is so low.
- C. The population mean cannot be 83, since the probability is so low.
- D. The population mean may be greater than 83.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8144bfd5-777f-438e-86de-04789e20c906%2Fc265c0e6-d593-4c2b-853d-727399ae566b%2F0wromt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a geyser has a mean time between eruptions of 83 minutes. If the interval of time between the eruptions is normally distributed with a standard deviation of 25 minutes, answer the following questions.
- **(a)** What is the probability that a randomly selected time interval between eruptions is longer than 93 minutes?
The probability that a randomly selected time interval is longer than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(b)** What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 93 minutes?
The probability that the mean of a random sample of 16 time intervals is more than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(c)** What is the probability that a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes?
The probability that the mean of a random sample of 41 time intervals is more than 93 minutes is approximately [ ]. (Round to four decimal places as needed.)
- **(d)** What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below.
- A. The probability increases because the variability in the sample mean decreases as the sample size increases.
- B. The probability increases because the variability in the sample mean increases as the sample size increases.
- C. The probability decreases because the variability in the sample mean decreases as the sample size increases.
- D. The probability decreases because the variability in the sample mean increases as the sample size increases.
- **(e)** What might you conclude if a random sample of 41 time intervals between eruptions has a mean longer than 93 minutes? Choose the best answer below.
- A. The population mean is 83 minutes, and this is an example of a typical sampling.
- B. The population mean must be more than 83, since the probability is so low.
- C. The population mean cannot be 83, since the probability is so low.
- D. The population mean may be greater than 83.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman