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What is the closest P-value?

What is the closest P-value?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 6.136 What is the closest P-value?
>Answer Solution 6.136 Football Air Pressure During the National Football League's 2014 AFC championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average air pressure of 11.1 psi, with a standard deviation of 0.40 psi. a. Assuming this is a representative sample of all footballs used by the Patriots in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi. There is no extreme skewness or outliers in the data, so it is appropriate to use the t- distribution. b. Is it fair to assume that this sample is representative of all footballs used by the Patriots during the 2014 season? 6.137 Homes for Sale The dataset HomesForSale has data31 on houses available for sale in three Mid-Atlantic states (NY, NJ, and PA). Table 6.2 shows the mean and standard deviation of prices from the three Mid-Atlantic states, in thousands of dollars. Use this table, the knowledge that within the US the typical house price when the data were collected was about 278 thousand dollars,32 and a 5% significance level to answer the following questions. TABLE 6.2 Mean housing prices for New York, New Jersey, and Pennsylvania State Mean Std. Dev. New York New Jersey Pennsylvania ! 2 n 30 30 30 a. Is the average cost of a house in New York significantly greater than 278 thousand? b. Is the average cost of a house in New Jersey significantly greater than 278 thousand? F2 c. Is the average cost of a house in Pennsylvania significantly greater than 278 thousand? d. Which state shows the most evidence that the state average is greater than the typical 278 thousand dollar price for US homes? 3 365.3 328.5 265.6 20 F3 $ 4 . : 105 DOO DOD F4 317.8 158.0 137.1 140 % 5 F5 175 A 6 210 Drinn F6 & 7 245 K F7 280 8 F8 315 ( 9 350 F9 O Q A4 F10 < 467 /840 > D
Transcribed Image Text:>Answer Solution 6.136 Football Air Pressure During the National Football League's 2014 AFC championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average air pressure of 11.1 psi, with a standard deviation of 0.40 psi. a. Assuming this is a representative sample of all footballs used by the Patriots in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi. There is no extreme skewness or outliers in the data, so it is appropriate to use the t- distribution. b. Is it fair to assume that this sample is representative of all footballs used by the Patriots during the 2014 season? 6.137 Homes for Sale The dataset HomesForSale has data31 on houses available for sale in three Mid-Atlantic states (NY, NJ, and PA). Table 6.2 shows the mean and standard deviation of prices from the three Mid-Atlantic states, in thousands of dollars. Use this table, the knowledge that within the US the typical house price when the data were collected was about 278 thousand dollars,32 and a 5% significance level to answer the following questions. TABLE 6.2 Mean housing prices for New York, New Jersey, and Pennsylvania State Mean Std. Dev. New York New Jersey Pennsylvania ! 2 n 30 30 30 a. Is the average cost of a house in New York significantly greater than 278 thousand? b. Is the average cost of a house in New Jersey significantly greater than 278 thousand? F2 c. Is the average cost of a house in Pennsylvania significantly greater than 278 thousand? d. Which state shows the most evidence that the state average is greater than the typical 278 thousand dollar price for US homes? 3 365.3 328.5 265.6 20 F3 $ 4 . : 105 DOO DOD F4 317.8 158.0 137.1 140 % 5 F5 175 A 6 210 Drinn F6 & 7 245 K F7 280 8 F8 315 ( 9 350 F9 O Q A4 F10 < 467 /840 > D
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