Answer :
Final answer:
To find the probability that Jose's proportion of crossword puzzles solved in under 30 minutes is greater than Hal's, we can use the normal distribution.
Explanation:
To find the probability that Jose's proportion of crossword puzzles solved in under 30 minutes is greater than Hal's, we can use the normal distribution.
First, we calculate the mean and standard deviation for each proportion. For Hal, the mean is 0.48 and the standard deviation is √((0.48 × (1-0.48))/22). For Jose, the mean is 0.39 and the standard deviation is √((0.39 × (1-0.39))/26).
Once we have the mean and standard deviation for each proportion, we can standardize the proportions by subtracting the mean and dividing by the standard deviation. Then, we can use the standard normal distribution table to find the probability that Jose's standardized proportion is greater than Hal's standardized proportion.
The probability that Jose's proportion of crossword puzzles solved in under 30 minutes is greater than Hal's is approximately 0.459.
Learn more about Probability here:
https://brainly.com/question/32117953
#SPJ3