For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. An amusement park claims that the mean daily attendence at the park is at least 20,000 people. \( \begin{array}{lll}\text { A. } \mu>20,000 & \text { B. } \mu \neq 20,000 & \text { C. } \mu<20,000 \\ \text { D. } \mu \geq 20,000 & \text { E. } \mu \leq 20,000 & \text { F. } \mu=20,000\end{array} \) \( \begin{array}{ll}\text { A the claim as a mathematical statement. }\end{array} \)

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300 . An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the \( 96 \% \) confidence interval to 25 points, how many students should the administrator sample? Make sure to give a whole number answer.

Question 12 Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1. \( b=\square<b<b)=0.747 \), find \( b \). Submit Question

5 The mean age for first 13 voters at Zwide Voting Station, is 40 and the standard deviation is 5. Comment by refering to the standard deviations on how the ages at Zwide Station compare to those at Dingiswayo Station.

Score on last try: 0 of 1 pts. See Details for more. \( > \) Next question Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.6956 \), find \( b \). Submit Question

Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.7944 \), find \( b \). \( b=\square \) Submit Question