Final answer:
To construct a confidence interval for the mean number of strikes in the bowling competition, use the formula (x¯ - margin of error, x¯ + margin of error). For the given values, the confidence interval is (16, 22), indicating that the true mean number of strikes is between 16 and 22 with 90% confidence.
Step-by-step explanation:
To construct a confidence interval for the mean number of strikes in the bowling competition, we can use the formula: (x¯ - margin of error, x¯ + margin of error). Given that x¯ = 19 and the margin of error = 3, the confidence interval is (19 - 3, 19 + 3), which simplifies to (16, 22). Therefore, we can be 90% confident that the true mean number of strikes in the bowling competition is between 16 and 22.