SCENARIO 12-4 A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors. $\begin{array} { l|l|l|l|l|l } \hline \quad&\quad&\quad&\quad&\quad&\quad \\ \hline \quad&\quad&\quad&\quad&\quad&\quad \\ \hline \quad&\quad&\quad&\quad&\quad&\quad \\ \hline \quad&\quad&\quad&\quad&\quad&\quad \\\hline \end{array}$ \[\begin{array} { | l | l | l | l | l | l | } \hline \text { MemorvLocation: } & 1 & 2 & 3 & 4 & 5 \\ \hline \text { Number of Transactions: } & 82 & 100 & 74 & 92 & 102 \\ \hline \text { Number of Reported Errors } & 11 & 12 & 6 & 9 & 10 \\ \hline \end{array}\] The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. -Referring to Scenario 12-4, the critical value of the test statistic at 1% level of significance is

A) 7.7794 B) 13.2767 C) 20.0902 D) 23.2093 A) 7.7794 B) 13.2767 C) 20.0902 D) 23.2093

SCENARIO 12-13 Recent studies have found that American children are more obese than in the past.The amount of time children spent watching television has received much of the blame.A survey of 100 ten-year- olds revealed the following with regards to weights and average number of hours a day spent watching television.We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance. \[\begin{array} { | c | c | c | c | c | } \hline { \text { Weights } } & { \text { TV Hours } } & &&{ \text { Total } } \\ \hline & 0 - 3 & 3 - 6 & \text { 6+ } & \\ \hline \text { More than } 10 \text { lbs. overweight } & 1 & 9 & 20 & 30 \\ \hline \text { Within 10 lbs. of normal weight } & 20 & 15 & 15 & 50 \\ \hline \text { More than 10 lbs. underweight } & 10 & 5 & 5 & 20 \\ \hline \text { Total } & 31 & 29 & 40 & 100 \\ \hline \end{array}\] -Referring to Scenario 12-13, suppose the value of the test statistic was 30.00 (which is not the correct value) and the critical value at 1% level of significance was 10.00 (which is not the correct value), which of the following conclusions would be correct?

A) We will not reject the null and conclude that mean number of hours spent watching TV and weights are independent. B) We will reject the null and conclude that mean number of hours spent watching TV and weights are independent. C) We will not reject the null and conclude that mean number of hours spent watching TV and weights are not independent. D) We will reject the null and conclude that mean number of hours spent watching TV and weights are not independent. A) We will not reject the null and conclude that mean number of hours spent watching TV and weights are independent. B) We will reject the null and conclude that mean number of hours spent watching TV and weights are independent. C) We will not reject the null and conclude that mean number of hours spent watching TV and weights are not independent. D) We will reject the null and conclude that mean number of hours spent watching TV and weights are not independent.