MA207 Final Exam - Takehome Portion
For each of the problems below, use the technology guide to perform a statistical analysis.
You should justify your choice of method, including any assumptions made in the use of the method.
You should indicate whether a two-tailed, left-tailed, or right-tailed analysis is appropriate,
and, in hypothesis testing problems, state the null and alternative hypotheses.
If the problem does not specify a level of significance, you should choose one.
Problem 1
Archeological evidence in the form of shell casings is recovered from the site of a late nineteenth century battle fought by Native Americans and federal troops. Ballistics analysis indicates that of 85 individual firearms believed to be used by the Native Americans, 48 were repeating rifles. Similar analysis indicated that of 120 firearms used by the federal troops,
38 were repeating rifles. Does this data suggest that the proportion of repeating rifles among the Native Americans was higher than that of the federal troops?
Problem 2
Data from a credit card company indicates that in a certain market, families dined out an average of 2.1 nights per week with a standard deviation of 0.8 in 2001, and 1.9 nights per week with a standard deviation of 0.9 in 2005. Does this data indicate a significant drop in the frequency of dining out in this market?
Problem 3
A television network claims that a show in a certain time slot has a 21 percent share of the
viewing audience and sets advertising rates accordingly. An advertiser running a commercial during the show wants to verify that the market share is 21 percent, so a telephone survey is taken during the show. The survey calls 420 randomly selected households and finds
that 80 are tuned in to the show. Does this data support the network's audience share estimate, or should the advertiser negotiate a refund?