The amount of time to complete a physical activity in a PE class is approximately normally distributed with a mean of 38.9 seconds and a standard deviation of 7.8 seconds. Enter decimal answers rounded to 4 decimal places for a-c, 1 place for part d. a) What is the probability that a randomly chosen student completes the activity in less than 32.3 seconds? 0.197 b) What is the probability that a randomly chosen student completes the activity in more than 47.3 seconds? c) What proportion of students take between 34.2 and 43.1 seconds to complete the activity? d) \( 70 \% \) of all students finish the activity in less than

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.

Find the range of the following data set. Assume the data set is a sample.

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.

\( n-1=35-1=34 \) \( p \)-value \( <0.01 \) - Step 6: Make a decision to reject or not reject the null hypothesis. Write in non-techni terms a final conclusion about the claim. 'd reject the nurl nypo thesis

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