How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a histogram.

$$\begin{matrix} \text{261} & \text{271} & \text{236} & \text{244} & \text{279} & \text{296} & \text{284} & \text{299} & \text{288} & \text{247} & \text{256}\\ \text{338} & \text{360} & \text{341} & \text{333} & \text{261} & \text{266} & \text{287} & \text{296} & \text{313} & \text{307} & \text{307}\\ \text{299} & \text{303} & \text{277} & \text{283} & \text{304} & \text{305} & \text{288} & \text{290} & \text{288} & \text{297} & \text{299}\\ \text{332} & \text{330} & \text{309} & \text{328} & \text{307} & \text{328} & \text{285} & \text{291} & \text{295} & \text{306} & \text{315}\\ \text{310} & \text{318} & \text{318} & \text{320} & \text{333} & \text{321} & \text{323} & \text{324} & \text{327}\\ \end{matrix}$$

Use five classes.

How long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw an ogive.

$$\begin{matrix} \text{261} & \text{271} & \text{236} & \text{244} & \text{279} & \text{296} & \text{284} & \text{299} & \text{288} & \text{288} & \text{247} & \text{256}\\ \text{338} & \text{360} & \text{341} & \text{333} & \text{261} & \text{266} & \text{287} & \text{296} & \text{313} & \text{311} & \text{307} & \text{307}\\ \text{299} & \text{303} & \text{277} & \text{283} & \text{304} & \text{305} & \text{288} & \text{290} & \text{288} & \text{289} & \text{297} & \text{299}\\ \text{332} & \text{330} & \text{309} & \text{328} & \text{307} & \text{328} & \text{285} & \text{291} & \text{295} & \text{298} & \text{306} & \text{315}\\ \text{310} & \text{318} & \text{318} & \text{320} & \text{333} & \text{321} & \text{323} & \text{324} & \text{327}\\ \end{matrix}$$

Use five classes.

A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic literacy test to a random sample of 60 high school graduates and a separate random sample of 75 high school dropouts. Let $\hat{p}_{1}$ and $\hat{p}_{2}$ be the sample proportions of graduates and dropouts, respectively, who pass the test. Find the mean of the sampling distribution.

Directions: Choose the best answer to each question.

1. Eva lives in Wyoming which has a general state sales tax on purchases. If Eva buys a car for $18,000, how much money will she pay in sales tax? A.$180 B. $900 C.$1,800 D. Not enough information is given.

Use either the critical-value approach or the P-value approach to perform the required hypothesis test. Response Insurance collects data on seat-belt use among U.S. drivers. Of 1000 drivers 25-34 years old, 27% said that they buckle up, whereas 330 of 1100 drivers 45-64 years old said that they did. At the 10% significance level, do the data suggest that there is a difference in seat-belt use between drivers 25-34 years old and those 45-64 years old? [SOURCE: USA TODAY Online]

You are competing in a mountain bike race. Your average speed is 10 mi/h. If the race course is 65 mi long, how many minutes will it take you to finish the race?

In an attempt to increase sales, a breakfast cereal company decides to offer a promotion. Each box of cereal will contain a collectible card featuring one NASCAR driver: Kyle Busch; Dale Earnhardt, Jr.; Kasey Kahne; Danica Patrick; or Jimmie Johnson. The company says that each of the 5 cards is equally likely to appear in the 100,000 boxes of cereal that are part of this promotion. You buy 12 boxes and let X = the number of Kyle Busch cards in the sample. Calculate the mean and standard deviation of the sampling distribution of X.

A survey of 1000 adults (reported in USA Today) uncovered some interesting housekeeping secrets. When unexpected company comes, where do we hide the mess? The survey showed that 68% of the respondent s toss their mess into the closet, 23% shove things under the bed, 6% put things into the bathtub,and 3% put the mess into the freezer. Make a circle graph to display this information.

Another display technique that is somewhat similar to a histogram is a dotplot. In a dotplot, the data values are displayed along the horizontal axis. A dot is then plotted over each data value in the data set.

Display the data along a horizontal axis. Then plot each data value with a dot or point above the corresponding value on the horizontal axis. For repeated data values, stack the dots.

The next display shows a dotplot generated by Minitab $(>$ Graph $>$ Dotplot $)$ for the number of licensed drivers per 1000 residents by state, including the District of Columbia.

Consider the intervals 550 to 650,650 to 750 , and 750 to 850 licensed drivers per 1000 residents. In which interval do most of the states fall?

"Readability Levels of Magazine Ads." by F.K. Shuptrine and D.D. McVicker, is an article in the Journal of Advertising Research. The following is a list of the number of three-syllable (or longer) words in advertising copy of randomly selected magazine and advertisements.

$$\begin{array}{rrrrrrrrrrr} 34 & 21 & 37 & 31 & 10 & 24 & 39 & 10 & 17 & 18 & 32 \\ 17 & 3 & 10 & 6 & 5 & 6 & 6 & 13 & 22 & 25 & 3 \\ 5 & 2 & 9 & 3 & 0 & 4 & 29 & 26 & 5 & 5 & 24 \\ 15 & 3 & 8 & 16 & 9 & 10 & 3 & 12 & 10 & 10 & 10 \\ 11 & 12 & 13 & 1 & 9 & 43 & 13 & 14 & 32 & 24 & 15 \end{array}$$

Use eight classes.

Based on long experience, an airline has found that about 6% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats. Let n = 267 represent the number of ticket reservations. Let r represent the number of people with reservation s who show up for the flight. Which expression represents the probability that a seat will be available for everyone who shows up holding a reservation? $P(255 \leq r)$; $P(r \leq 255)$; $P(r \leq 267)$; $P(r=255)$

Find each integral. $\int \csc ^{2} \pi t d t$

The following data represent annual salaries, in thousands of dollars, for employees of a small company. Notice that the data have been sorted in increasing order.

$$\begin{array}{rllllllllllll}54 & 55 & 55 & 57 & 57 & 59 & 60 & 65 & 65 & 65 & 66 & 68 & 68 \\ 69 & 69 & 70 & 70 & 70 & 75 & 75 & 75 & 75 & 77 & 82 & 82 & 82 \\ 88 & 89 & 89 & 91 & 91 & 97 & 98 & 98 & 98 & 280 & & & \end{array}$$

Make a histogram using the class boundaries $53.5,99.5,145.5,191.5$, $237.5,283.5$.

The following data represent annual salaries, in thousands of dollars, for employees of a small company. Notice that the data have been sorted in increasing order.

$$\begin{array}{rllllllllllll}54 & 55 & 55 & 57 & 57 & 59 & 60 & 65 & 65 & 65 & 66 & 68 & 68 \\ 69 & 69 & 70 & 70 & 70 & 75 & 75 & 75 & 75 & 77 & 82 & 82 & 82 \\ 88 & 89 & 89 & 91 & 91 & 97 & 98 & 98 & 98 & 280 & & & \end{array}$$

Eliminate the high salary of 280 thousand dollars. Make a new histogram using the class boundaries 53.5,62.5,71.5,80.5,89.5,98.5. Does this histogram reflect the salary distribution of most of the employees better than the histogram in the previous part?