Questions from Applied Statistics

Q: A U.S. dime weighs 2.268 grams when

A U.S. dime weighs 2.268 grams when minted. A random sample of 15 circulated dimes showed a mean weight of 2.256 grams with a standard deviation of .026 gram. (a) Using α = .05, is the mean weight of...

Q: A coin was flipped 60 times and came up heads 38 times

A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and int...

Q: Hammermill Premium Inkjet 24 lb. paper has a specified brightness of

Hammermill Premium Inkjet 24 lb. paper has a specified brightness of 106. (a) At α = .005, does this sample of 24 randomly chosen test sheets from a day’s production ru...

Q: Is this sample of 25 exam scores inconsistent with the hypothesis that

Is this sample of 25 exam scores inconsistent with the hypothesis that the true variance is 64 (i.e., σ = 8)? Use the 5 percent level of significance in a two-tailed test. Show all steps, i...

Q: The median waiting time for a liver transplant in the United States

The median waiting time for a liver transplant in the United States is 321 days. Would you expect the mean to be higher or lower than 321 days? Explain. (See http://www.livermd.org/.)

Q: A small suburban community agreed to purchase police services from the county

A small suburban community agreed to purchase police services from the county sheriff’s department. The newspaper said, “In the past, the charge for police protection from the Sheriff’s Department has...

Q: A company’s contractual “trigger” point for a union absenteeism penalty

A company’s contractual “trigger” point for a union absenteeism penalty is a certain distance above the mean days missed by all workers. Now the company wants to switch the trigger to a certain number...

Q: Last year’s freshman class at Big State University totaled 5,324

Last year’s freshman class at Big State University totaled 5,324 students. Of those, 1,254 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per...

Q: At the Midlothian Independent Bank, a study shows that the mean

At the Midlothian Independent Bank, a study shows that the mean ATM transaction takes 74 seconds, the median 63 seconds, and the mode 51 seconds. (a) Sketch the distribution, based on these statistics...

Q: At the Eureka library, the mean time a book is checked

At the Eureka library, the mean time a book is checked out is 13 days, the median is 10 days, and the mode is 7 days. (a) Sketch the distribution, based on these statistics. (b) What factors might cau...