Question 1: Read the problem and find the correct answers for the two boxes shown below: (Your finding the point estimate and the confidence interval)

For his baseball bio, Jeff wants to estimate the average speed of his fastball. He borrows a velocity detector from the physics department and records the speeds below as a sample of 10 pitches. Calculate the point estimate and confidence interval with a 2.5 mph margin of error. Speeds Recorded: 81 75 78 82 80 76 79 81 80 76 Point Estimate = Confidence Interval =Identify the point estimate and the margin of error for the interval: (0.58, 0.92) Point Estimate = Margin of Error =A consumer watchdog organization estimates the mean weight of 1-ounce \"Fun-Size\" candy bars to see if customers are getting the full value for their money. A random sample of 50 bars is selected and weighed, and the organization reports that a 90% condence interval for the true mean weight of the candy bars is 0.961 to 0.9?9 ounces. Point Estimate = E Margin of Error = E A consumer watchdog organization estimates the mean weight of 1ounce \"FunSize\" candy bars to see if customers are getting the full value for their money. A random sample of 5C! bars is selected and weighed, and the organization reports that a 90% condence interval for the true mean weight of the candy bars is 0.961 to 0.9?9 ounces. a) If instead we constructed a 80% condence interval, the interval would be b) If instead they sampled 25 bars instead of 50. the interval would be