In Problems 3–6, use the results of Problems 5–8 in Section 14.1
3. Using the sample data from Problem 5 in Section 14.1,
(a) Predict the mean value of y if x = 7.
(b) Construct a 95% confidence interval for the mean value of y if x = 7.
(c) Predict the value of y if x = 7.
(d) Construct a 95% prediction interval for the value of y if x = 7.
(e) Explain the difference between the prediction in parts (a) and (c).
Step 1 of 5) In Problems 3–6, use the results of Problems 5–8 in Section 14.1 3. Using the sample data from Problem 5 in Section 14.1, (a) Predict the mean value of y if x = 7. (b) Construct a 95% confidence interval for the mean value of y if x = 7. (c) Predict the value of y if x = 7. (d) Construct a 95% prediction interval for the value of y if x = 7. (e) Explain the difference between the prediction in parts (a) and (c). Finding the Probability of a Normal Random Variable Problem For the pediatrician presented in Example 1, find the probability that a randomly selected three-year-old girl is between 35 and 40 inches tall, inclusive. That is, find P135 … X … 402. By-Hand Approach Step 1 Draw a normal curve and shade the desired area.