6.136. Foothall Air Pressure During the National Football League's 2014 AFC championship game, officials measured the air pressure on i1 of the game footballs being usedby the New England Patriots. They found that the balls had an average air pressure of \(11.1 \) psi, with a itandard deviation of 0.40 psi. a. Assuming this is arepresentative sample of all footballs used by the Patrioti in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by thePatriots was significantly less thin the allowable limit of \(12.5 \) pss. There in no extrime sicewness or outlien 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 wised by the Patriots during the 2ori season?

Population mean µ = 12.5 psiSample size (n) = 11Mean x̅ = 11.1 psiSample standard deviation (s) =…

Answered: 5.136. Foothall Air Pressure During the…

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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Manatees are one creature found in coastal waterways. 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1050 lbs. This year, a random sample of 12 manatees were selected, the sample weights are: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assume the underlying distribution of manatee weights is normal, and population standard deviation o is unknown. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight decreases now. Solve the hypothesis using P-value method. Let a = 0.05. . Use the given sample data to calculate 90% confidence interval for true mean weight of manatees.
Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12 well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38, 12, 11, 134, 12, 251, 63, 8, 13, 107. (a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B, = x – t - - and By = x +t N sample N sample (c) Which confidence interval is wider and why?
9) Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed, with a standard deviation of 0.07 cm. What proportion of rods has a length less than 24.9 cm? b. C. d. 25 Any rods that are shorter than 24.85 cm or longer than 25.15 cm are discarded. What proportion of rods will be discarded? Using the results of part (b), if 5,000 rods are manufactured in a day, how many should the plant manager expect to discard? If an order comes in for 10,000 steel rods, how many rods should the plant manager manufacture if the order states that all rods must be between 24.9 cm and 25.1 cm?
According to the American Freshman, the number of hours that college freshmen spendstudying each week is normally distributed with a mean of 7 hours and a standard deviationof 5.3 hours.a) What percent of college freshmen study between 7 and 12.3 hours per week?b) What percent of college freshmen study more than 17.6 hours per week?
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.8 and a standard deviation of 61.7. What is the approximate percentage of women with platelet counts between 192.1 and 315.5?
The average register transaction at a local coffee house is 6.17 with a standard deviation of 3.25. If transactions are normally distributed, what percentage are 10.00 or more?
According to a report ny the U.S Fish and Wildlife Service the mean lenght of six-year old rainbow trout in the Arolik River in Alaska is 478 millimeters with a standard deviation of 40 millimeters. Assume these lenghts are normally distributed
Butter is sold in packs marked as salted or unsalted and the masses of the packs of both types of butter are known to be normally distributed. The mean mass of the salted packs of butter is 225.38 grams and the standard deviation for both packs is 8.45 grams. A sample of 12 of the unsalted packs of butter had masses ,measured to the nearest gram , as follows, 219,226,217,224,223,216,221228,215,229,225,229 (a) find a 95%confidence interval for the mean mass of unsalted packs of butter. (b) using the given data for salted packs, that is the mean and standard deviation, calculate limits between which 90% of the masses of salted packs of butter will lie.
It is said that a person’s height changes from morning to night, possibility in response to gravity compressing the spinal columns and the joints in the legs. The height of 14 persons (an equal number of men and women) were measured in the morning and at night and it was discovered that the average height in the morning was 1.750 m and 1.735 m. The mean change in height was 1.5 cm with a sample standard deviation of 3 cm. Any height change in the human population is known to be distributed normally. Is it correct to say that the true average change in height from morning to night is 2.5 cm with a significance level of 0.1)?
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