The Aston Martin Valkyrie has been available since 2020. Only 150 will be built with prices starting at around AUD$5m. They have all been sold and at least one will reside in Australia, The tyre pressure is normally distributed with a mean of 30 PSI and a standard deviation of 1.7 PSI. Suppose that you randomaly sample four Valkyries from around the world and test their tyre pressure. (C) 2021 Dr Steven Sommer, The University of Sydney. a. What is the distribution of the mean PSI for the sample? Select the correct choice below and fill in any answer boxes for that choice. (Round your answers to two decimal places). O A. The sampling distribution of the mean follows a uniform distribution with a mean of PSI and a standard deviation of the sample mean PSI. O B. The sampling distribution of the mean follows a normal distribution with a mean of PSI and a standard deviation of the sample mean PSI. OC. The sampling distribution of the mean follows an exponential distribution with a mean of PSI and a standard deviation of the sample mean PSI. The sampling distribution of the mean follows a different distribution to the three listed above with a mean of PSI and a standard deviation that cannot be determined from OD. the information in the question. b. The probability that the mean PSI of the sample will be greater than 31 PSI is (Give your answer as a decimal rounded to four decimal places, not a percentage) c. The probability that the mean PSI of the sample will be less than 28.5 PSI is (Give your answer as a decimal rounded to four decimal places, not a percentage)
The Aston Martin Valkyrie has been available since 2020. Only 150 will be built with prices starting at around AUD$5m. They have all been sold and at least one will reside in Australia, The tyre pressure is normally distributed with a mean of 30 PSI and a standard deviation of 1.7 PSI. Suppose that you randomaly sample four Valkyries from around the world and test their tyre pressure. (C) 2021 Dr Steven Sommer, The University of Sydney. a. What is the distribution of the mean PSI for the sample? Select the correct choice below and fill in any answer boxes for that choice. (Round your answers to two decimal places). O A. The sampling distribution of the mean follows a uniform distribution with a mean of PSI and a standard deviation of the sample mean PSI. O B. The sampling distribution of the mean follows a normal distribution with a mean of PSI and a standard deviation of the sample mean PSI. OC. The sampling distribution of the mean follows an exponential distribution with a mean of PSI and a standard deviation of the sample mean PSI. The sampling distribution of the mean follows a different distribution to the three listed above with a mean of PSI and a standard deviation that cannot be determined from OD. the information in the question. b. The probability that the mean PSI of the sample will be greater than 31 PSI is (Give your answer as a decimal rounded to four decimal places, not a percentage) c. The probability that the mean PSI of the sample will be less than 28.5 PSI is (Give your answer as a decimal rounded to four decimal places, not a percentage)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Transcribed Image Text:The Aston Martin Valkyrie has been available since 2020. Only 150 will be built with prices starting at around AUD$5m. They have all been sold and at least one will reside in
Australia,
The tyre pressure is normally distributed with a mean of 30 PSI and a standard deviation of 1.7 PSI. Suppose that you randomaly sample four Valkyries from around the world and test
their tyre pressure.
(C) 2021 Dr Steven Sommer, The University of Sydney.
a. What is the distribution of the mean PSI for the sample? Select the correct choice below and fill in any answer boxes for that choice.
(Round your answers to two decimal places).
O A. The sampling distribution of the mean follows a uniform distribution with a mean of
PSI and a standard deviation of the sample mean
PSI.
O B. The sampling distribution of the mean follows a normal distribution with a mean of
PSI and a standard deviation of the sample mean
PSI.
OC. The sampling distribution of the mean follows an exponential distribution with a mean of
PSI and a standard deviation of the sample mean
PSI.
The sampling distribution of the mean follows a different distribution to the three listed above with a mean of
PSI and a standard deviation that cannot be determined from
OD.
the information in the question.
b. The probability that the mean PSI of the sample will be greater than 31 PSI is
(Give your answer as a decimal rounded to four decimal places, not a percentage)
c. The probability that the mean PSI of the sample will be less than 28.5 PSI is
(Give your answer as a decimal rounded to four decimal places, not a percentage)
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