1. Dole Pineapple, Inc, is concerned that the 16 ounce can of sliced pineapple is being over filled. Assume the standard deviation of the process is .03 ounces. The quality control department took a random sample of 50 cans and found that arithmetic mean weight was 16.05 ounces. At the 5 percent level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine p-value.
  2. A statewide real estate sales agency, Farm Associates specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property in 90 days. Because of recent drought conditions, the agency believes that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed thant the mean selling time was 94 days, with standard deviation of 22 days. Ath the .10 significance level, has there been an increase in selling price?
  3. A United Nations report the mean family income for Mexican migrants to the United States is $27,000 per year. AFLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of 10,000. Does the information disagree with the United Nation report? Apply the 0.01 significance level.
  4. According to a study by the American Pet Food Dealer Association, 63 percent of U.S. household own pets. A report being prepared for an editorial in the San Francisco Chrocnicle. As a part of the editorial a random sample of 300 households showed 210 own pets . Does this data disagree with Pet Food Dealers Association data? Use a .05 level of significance.
  5. A recent article in the Denver Post indicated that the mean selling price of homes in area is more than $220,000. Can we conclude that the mean selling price in the Denver area is more than $220,000? Use the .01 significance level. What is the p-value?
  6. Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 night-shift workers showed that the mean number of units produced was 351. At the .05 significance level, is the number of units produced on the night shift larger?
  7. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.20 cups per day and 1.36 cups per day for those drinking decaffeinated coffee. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Use the .01 significance level. Compute p-value.
  8. Each month the National Association of Purchasing Managers publishes the NAPM index. One of the questions asked on the survey to purchasing agents is:Do you think the economy is expanding? Last month, of the 300 responses 160 answered yes to the question. This month, 170 of the 290 responses indicated they felt the economy was expanding. At the .05 significance level, can we conclude that a larger proportion of the agents believe the economy is expanding this month?
  9. A study was conducted to determine if there was difference in the humor content in British and American trade magazine advertisements. In an independent random sample of 270 American trade magazine advertisements, 56 were humorous. An independent random sample of 203 British trade magazine contained 52 humorous ads. Does this data provide evidence at the .05 significance level that there is a difference in the proportion of humorous ads in British versus American trade magazines?
  10. Refer to the Baseball 2006 data, which report information on the 30 major league baseball teams for the 2006 season.
  1. At the .05 significance level, can we conclude that there is a difference in the mean salary of teams in the American League versus teams in the National League?
  2. At the .05 significance level, can we conclude that there is a difference in the mean home attendance of teams in the American League versus teams in the National League?
  3. Compute the mean and the standard deviation of number of wins for the 10 teams with the highest salaries. Do the same for the 10 teams with the lowest salaries. At the .05 significance level is there a difference in the mean number of wins for the two groups?

TeamLeagueBuiltSizeSurfaceSalaryWinsAttendanceBattingERA HR Errors SB Year Average

Baltimore1199248262072.670 2,153,250 0.2775.35 164 102 121 1989 $512,930

Boston11912338710120.186 2,930,768 0.2694.83 192 66 51 1990 $578,930

Chicago11991443210102.890 2,957,414 0.2804.61 236 90 93 1991 $891,188

Cleveland119944336805678 1,998,070 0.2804.41 196 118 55 1992 $1,084,408

Detroit1200040000082.695 2,595,937 0.2743.84 203 106 60 1993 $1,120,254

Kansas City1197340529047.362 1,372,684 0.2715.65 124 98 65 1994 $1,188,679

Los Angeles Angles11966450500103.589 3,406,790 0.274 4.04 159 124 148 1995 $1,071,029

Minnesota1198248678163.496 2,285,018 0.2873.95 143 84 101 1996 $1,176,967

New York11923577460194.797 4,200,518 0.2854.41 210 104 139 1997 $1,383,578

Oakland1196643662062.293 1,976,625 0.2604.21 175 84 61 1998 $1,441,406

Seattle119994561108878 2,480,717 0.2724.6 172 88 106 1999 $1,720,050

Tampa Bay1199044027135.461 1,369,031 0.2554.96 190 116 134 2000 $1,988,034

Texas1199452000068.280 2,388,757 0.2784.6 183 98 53 2001 $2,264,403

Toronto1198950516171.987 2,302,182 0.2844.37 199 99 65 2002 $2,383,235

Arizona0199849075059.776 2,091,505 0.2674.48 160 104 76 2003 $2,555,476

Atlanta0199350062090.279 2,549,522 0.274.6 222 99 52 2004 $2,486,609

Chicago Cubs0191438957094.486 3,123,215 0.268 4.74 166 106 121 2005 $2,632,655

Cincinnati0200342,059060.980 2,134,472 0.2574.51 217 128 124 2006 $2,866,544

Colorado0199550381041.276 2,105,995 0.274.66 157 91 85

Florida019874253101578 1,165,120 0.2644.37 182 126 110

Houston0200042000092.682 3,022,763 0.2554.08 174 80 79

Los Angeles Dodgers0196256000098.488 3,758,421 0.276 4.23 153 115 128

Milwaukee0200142400057.675 2,335,643 0.2584.82 180 117 71

New York Mets0196455775010197 3,379,551 0.264 4.14 200 104 146

Philadelphia0200443500088.385 2,701,815 0.267 4.6 216 104 92

Pittsburgh0200138127046.767 1,861,549 0.2634.52 141 104 68

San Diego0200442,445069.988 2,659,732 0.2633.87 161 92 123

San Francisco0200040800090.176 3,130,304 0.259 4.63 163 91 58

St Louis0196649625088.983 3,407,104 0.2694.54 184 98 59

Washington0196156000063.171 2,153,150 0.2625.03 164 131 123

For each problem, state the hypotheses, conduct the hypothesis test, and state your conclusion in the context of the problem.