What is the purpose of the randomized block design?

The International Telecommunications Union (ITU) specifies that a telephone number must consist of a country code with between 1 and 3 digits, except that the code 0 is not available for use as a country code, followed by a number with at most 15 digits. How many available possible telephone numbers are there that satisfy these restrictions?

What is the difference between the fiber-to-the-node (FTTN) and fiber-to-the-curb (FTTC) topologies?

Explain the basic role that between-sample variation and within-sample variation play in carrying out an analysis of variance.

For the following summary table for a one-way ANOVA, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses, then use the $0.025$ level of significance in reaching a conclusion regarding the null hypothesis.

$$\begin{array}{lcccc} \begin{array}{l} \text { Variation } \\ \text { Source } \end{array} & \begin{array}{c} \text { Sum of } \\ \text { Squares } \end{array} & \begin{array}{c} \text { Degrees of } \\ \text { Freedom } \end{array} & \begin{array}{c} \text { Mean } \\ \text { Square } \end{array} & F \\ \hline \text { Treatments } & 665.0 & 4 & \star \star \star & \star \star \star \\ \text { Error } & \star \star \star & 60 & \star \star \star & \\ \text { Total } & 3736.3 & \star \star \star & & \end{array}$$

Identify whether the given value is a statistic or a parameter.In a study of 400 babies born at four different hospitals in New York State, it was found that the average (mean) weight at birth was 3152.0 grams.

For the following summary table for a one-way ANOVA, fill in the missing items (indicated by asterisks), identify the null and alternative hypotheses, then use the $0.05$ level of significance in reaching a conclusion regarding the null hypothesis.

$$\begin{array}{lcccc} \begin{array}{l} \text { Variation } \\ \text { Source } \end{array} & \begin{array}{c} \text { Sum of } \\ \text { Squares } \end{array} & \begin{array}{c} \text { Degrees of } \\ \text { Freedom } \end{array} & \begin{array}{c} \text { Mean } \\ \text { Square } \end{array} & \boldsymbol{F} \\ \hline \text { Treatments } & 6752.0 & 2 & 3376.0 & \star \star \star \\ \text { Error } & 30178.0 & * \star \star & * \star \star & \\ \text { Total } & 36930.0 & 29 & & \end{array}$$

Safety researchers, interested in determining whether the occupancy of a vehicle might be related to the speed at which the vehicle is driven, have observed the following speed (mph) measurements for two random samples of vehicles. (Use data file XR12030.)

$$\begin{array}{lllllllllll}\text { Driver Alone } & 64 & 50 & 71 & 55 & 67 & 61 & 80 & 56 & 59 & 74\end{array}$$

At Least One

$$\begin{array}{lllllllllllll}\text { Passenger } & 44 & 52 & 54 & 48 & 69 & 67 & 54 & 57 & 58 & 51 & 62 & 67\end{array}$$

c. For each sample, construct the $95 \%$ confidence interval for the population mean.

Safety researchers, interested in determining whether the occupancy of a vehicle might be related to the speed at which the vehicle is driven, have observed the following speed (mph) measurements for two random samples of vehicles. (Use data file XR12030.)

$$\begin{array}{lllllllllll}\text { Driver Alone } & 64 & 50 & 71 & 55 & 67 & 61 & 80 & 56 & 59 & 74\end{array}$$

At Least One

$$\begin{array}{lllllllllllll}\text { Passenger } & 44 & 52 & 54 & 48 & 69 & 67 & 54 & 57 & 58 & 51 & 62 & 67\end{array}$$

b. Use ANOVA and the $0.025$ level of significance in testing the null hypothesis identified in part (a).

Listed below are the numbers of unprovoked shark attacks worldwide for the last several years. Why is it that a dotplot of these data would not be very effective in helping us understand the data? Which of the following graphs would be most effective for these data: dotplot, stemplot, time-series graph, Pareto chart, pie chart, frequency polygon?

70 54 68 82 79 83 76 73 98 81

Safety researchers, interested in determining whether the occupancy of a vehicle might be related to the speed at which the vehicle is driven, have observed the following speed (mph) measurements for two random samples of vehicles. (Use data file XR12030.)

$$\begin{array}{lllllllllll}\text { Driver Alone } & 64 & 50 & 71 & 55 & 67 & 61 & 80 & 56 & 59 & 74\end{array}$$

At Least One

$$\begin{array}{lllllllllllll}\text { Passenger } & 44 & 52 & 54 & 48 & 69 & 67 & 54 & 57 & 58 & 51 & 62 & 67\end{array}$$

a. What are the null and alternative hypotheses for this test?

What is necessary for an experiment to be "balanced"?

Each of fifteen 60 -watt lightbulbs has been randomly placed into an outlet for which the voltage is 3 volts below the line voltage, 2 volts below the line voltage, or equal to the line voltage. The following data are the lifetimes of the bulbs, expressed in days of continuous use. (Use data file XR12029.)

$$\begin{array}{llllll}\text { Three Volts Below Line } & 58 & 63 & 46 & 57 & 51 \\ \text { Two Volts Below Line } & 46 & 59 & 51 & 46 & 42 \\ \text { Equal to Line Voltage } & 52 & 48 & 38 & 48 & 42\end{array}$$

c. For each sample, construct the $95 \%$ confidence interval for the population mean.

Each of fifteen 60 -watt lightbulbs has been randomly placed into an outlet for which the voltage is 3 volts below the line voltage, 2 volts below the line voltage, or equal to the line voltage. The following data are the lifetimes of the bulbs, expressed in days of continuous use. (Use data file XR12029.)

$$\begin{array}{llllll}\text { Three Volts Below Line } & 58 & 63 & 46 & 57 & 51 \\ \text { Two Volts Below Line } & 46 & 59 & 51 & 46 & 42 \\ \text { Equal to Line Voltage } & 52 & 48 & 38 & 48 & 42\end{array}$$

b. Use ANOVA and the $0.01$ level of significance in testing the null hypothesis identified in part (a).