Question

In: Statistics and Probability

In the 2015 AFC Championship game, there was a charge the New England Patriots deflated their...

In the 2015 AFC Championship game, there was a charge the New England Patriots deflated their footballs

          for an advantage.  The balls should be inflated to between 12.5 and 13.5 pounds per square inch.  The actual

          measurements for this game are listed below.

            11.50       10.85       11.15       10.70       11.10       12.60       12.55       11.10       10.95       10.50       10.90

          Use a significance level  to test the claim that the population mean is less than 12.5 psi.  State

          clearly whether the Patriots’ balls are deflated or not.  (You may treat the measurements as a random

          sample from a normal population.)

          a)  Calculate the sample mean  and the sample standard deviation .

          b)  State the hypotheses.                                                          

  1. Calculate the test statistic.

d)  Find the P-value and the critical value(s).  Label the value(s) you found on the sketches below.

                                                                       

          e)  State the initial conclusion regarding the null hypothesis .

          f)  State the final conclusion in your own words that addresses the original claim.

Solutions

Expert Solution

a) - f)


Related Solutions

In the 2015 AFC Championship​ game, there was a charge that the New England Patriots underinflated...
In the 2015 AFC Championship​ game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The​ Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the​ Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch​ (psi). The accompanying data consists of six of the eight measurements on the​ Colts' footballs. Complete parts​ (a) and​ (b) below. 12.3512.35 12.7012.70 12.3012.30 12.7512.75 12.5512.55 12.1512.15...
6.124a During the National Football League’s 2014 AFC championship game, officials measured the air pressure on...
6.124a 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. 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 data show the ages of the players of the New England Patriots in 2012. Construct a dot plot for the data, and comment on the distribution.
The data show the ages of the players of the New England Patriots in 2012. Construct a dot plot for the data, and comment on the distribution.
The upcoming championship high school football game is a big deal in your little town. The...
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three...
The upcoming championship high school football game is a big deal in your little town. The...
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three...
The upcoming championship high school football game is a big deal in your little town. The...
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three...
Is there a difference between the average NBA Championship Final game winning scores of the 1970’s...
Is there a difference between the average NBA Championship Final game winning scores of the 1970’s versus the average of the winning scores of the 1990’s? Use a 0.05 significance level to test the claim that there is a difference. 1970’s 1990’s 97 78 105 87 109 90 87 87 96 113 102 90 102 99 114 97 118 108 113 92 Write each statement: null hypothesis): alternative hypothesis): Write the “test statistic” here: Write the P-value here: REJECT YES...
9) (CH. 9-2) Is there a difference between the average NBA Championship Final game winning scores...
9) (CH. 9-2) Is there a difference between the average NBA Championship Final game winning scores of the 1970’s versus the average of the winning scores of the 2000’s? Use a 0.01 significance level to test the claim that there is a difference. 1970’s 2000’s 97 99 105 131 109 83 87 95 96 81 102 100 102 88 114 113 118 108 113 116 Use the data from problem #9 to construct a 99% confidence interval estimate for the...
In 2015 Microsoft Corporation reported a $5.1 billion charge for the impairment of goodwill and a...
In 2015 Microsoft Corporation reported a $5.1 billion charge for the impairment of goodwill and a $2.2 billion charge for the impairment of intangible assets in one of its reporting units (segments) in its 10-K annual report. Referring to Microsoft's 2015 financial statements and any other information from the media, address the following: 1. Microsoft's segments serve as its reporting units for assessing goodwill for potential impairments. Which segment suffered a 2015 impairment? Describe the revenue model for this segment....
FunToys is introducing a new game. The expected costs for this game are as follows: Variable...
FunToys is introducing a new game. The expected costs for this game are as follows: Variable Manufacturing Expenses $18 per unit Fixed Manufacturing Expenses $10,000 per year Variable Selling and Admin Expenses $5 per unit Fixed selling & administrative expenses $5,000 per year a) The expected selling price is b) The breakeven point in unit is c) The number of units which must be sold to earn $30,000 profit is d) Prepare a Contribution Margin Income Statement assuming that FunToys...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT