The method of tree ring dating gave the following years A.D. foran archaeological excavation site. Assume that the population ofx values has an approximately normal distribution.
| 1194 | 1306 | 1264 | 1180 | 1268 | 1316 | 1275 | 1317 | 1275 |
(a) Find a 90% confidence interval for the mean of all tree ringdates from this archaeological site. (Round your answers to thenearest whole number.)
| lower limit    |   A.D. |
| upper limit    |   A.D. |
How much does a sleeping bag cost? Let's say you want a sleepingbag that should keep you warm in temperatures from 20°F to 45°F. Arandom sample of prices ($) for sleeping bags in this temperaturerange is given below. Assume that the population of xvalues has an approximately normal distribution.
| 80 | 35 | 55 | 75 | 50 | 90 | 30 | 23 | 100 | 110 |
| 105 | 95 | 105 | 60 | 110 | 120 | 95 | 90 | 60 | 70 |
(b) Using the given data as representative of the population ofprices of all summer sleeping bags, find a 90% confidence intervalfor the mean price ĂŽÂĽ of all summer sleeping bags. (Round youranswers to two decimal places.)
| lower limit    | $  |
| upper limit    | $  |
How much do wild mountain lions weigh? Adult wild mountain lions(18 months or older) captured and released for the first time inthe San Andres Mountains gave the following weights (pounds):
(c) Find a 75% confidence interval for the population averageweight ĂŽÂĽ of all adult mountain lions in the specified region.(Round your answers to one decimal place.)
| lower limit    | lb |
| upper limit    | lb |
Do you want to own your own candy store? Wow! With some interestin running your own business and a decent credit rating, you canprobably get a bank loan on startup costs for franchises such asCandy Express, The Fudge Company, Karmel Corn, and Rocky MountainChocolate Factory. Startup costs (in thousands of dollars) for arandom sample of candy stores are given below. Assume that thepopulation of x values has an approximately normaldistribution.
(d) Find a 90% confidence interval for the population averagestartup costs ĂŽÂĽ for candy store franchises. (Round your answers toone decimal place.)
| lower limit    |   thousand dollars |
| upper limit    |   thousand dollars |
