General statistic questions

Anonymous
timer Asked: Oct 17th, 2018
account_balance_wallet $9.99

Question Description

Please answer the questions uploaded in the document with an explanation to each question. Please do not place an offer unless you know how to solve all the questions.

Unformatted Attachment Preview

1 The following represents the game time, in minutes, for the Major League Baseball games played in the United States between March 30 and April 9, 2003, sorted by league. Compare the times between the two leagues in terms of the average and the variability. A TV producer wants to know, for purposes of scheduling her crew, what the chances are that a game will end in 180 min. in each of the leagues. She also wants to know the time before which 95% of the games will end in each league? (Data based on report by Garrett 2003.) American League 174 125 130 155 170 225 159 315 143 147 160 173 178 178 194 120 202 143 146 149 179 181 183 185 175 161 169 179 188 193 200 156 161 197 145 162 167 172 179 181 134 174 203 222 174 188 176 231 176 131 126 National League 164 171 174 180 183 197 209 149 150 153 214 146 142 155 136 150 154 170 155 162 164 173 179 208 156 164 166 169 161 169 172 177 201 278 135 172 171 173 188 133 162 163 163 190 195 197 169 172 178 209 182 237 151 178 2 A high-rise tower built by a developer contains 200 condominium units. The QA department of the developer has to approve the tower before turning it over to sales. The QA department will select a random sample of 8 units and inspect them. If more than three major defects are found in any unit, they will reject the unit as defective. If more than 2 of the 8 inspected units are defective, the entire tower will be rejected. If 10 of the 200 units are known to have more than three major defects, what is the probability that the tower will be rejected? 3 A plane has four engines. Each engine has a probability of failing during a flight of 0.3. What is the probability that no more than two engines will fail during a flight? Assume that the engines are independent. 4 The thickness of gear blanks produced by an automatic lathe is known to be normally distributed, with a mean of 0.5 in. and a standard deviation of 0.05 in. If 10% of the blanks are rejected for being too thin, where is the lower specification located? 5 Automatic fillers are used to fill cans of cooking oil, which have to meet a minimum specification of 10 oz. To ensure that every can meets this minimum, the company has set a target value for the process average at 11 oz. The standard deviation of the amount of oil in a can is known to be 0.20 oz. a. At the process average of 11 oz, what percentage of the cans will contain less than 10 oz of cooking oil? Assume that the amount of oil in cans is normally distributed. b. Assuming that virtually all values of a normal distribution fall within a distance of 3.5σ from the mean, find the minimum value to which the process average can be lowered so that virtually no can will have less than 10 oz? 6 A random sample of nine electric bulbs was chosen from a production process and tested until failure. The lives in hours were 1366, 1372, 1430, 1246, 1449, 1268, 1408, 1468, and 1502, respectively. Give a 95% CI for the average life of the bulbs produced in the process if it is known that the life is normally distributed with a standard deviation of 100 hours. 7 A random sample of nine electric bulbs was chosen from a production process and tested until failure. The lives in hours were 1366, 1372, 1430, 1246, 1449, 1268, 1408, 1468, and 1502, respectively. Give a 90% CI for the mean life of the bulbs produced in the process if it is known that the life is normally distributed but the population standard deviation is not known. 8 The shelf life of a battery is of interest to a manufacturer. A random sample of 10 batteries gave the following shelf lives in days: 108, 122, 110, 138, 124, 163, 124, 159, 106, and 134. Is there evidence that the mean shelf life is greater than 125 days? Assume that the shelf life is normal. Use α = 0.05. 9 A survey of alumni of two engineering programs in a college gave the following data on their salaries after five years. Is there evidence to show that the average salaries of the graduates from the two programs are different? Assume that both the salaries are normally distributed and have a standard deviation of $12,000. Use α = 0.10. IE Graduates ME Graduates 66,500 64,600 58,200 58,900 80,400 76,900 48,500 45,800 64,500 70,100 68,300 69,700 77,300 77,900 84,900 52,300 ...
Purchase answer to see full attachment

Tutor Answer

Aljon2017
School: Purdue University

Hi, plea...

flag Report DMCA
Review

Anonymous
Good stuff. Would use again.

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors