What is the closest P-value?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
Question 6.136
What is the closest P-value?

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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