A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 237.1-cm and a standard deviation of 1.5-cm. For shipment, 29 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 236.5-cm. P(M < 236.5-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.

A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1544 and the standard deviation was 314.The test scores of four students selected at random are 1940​, 1290​, 2250​,and 1420.Find the​ z-scores that correspond to each value and determine whether any of the values are unusual. ​(Round to 2 decimal places as​ needed.)

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 217.3-cm and a standard deviation of 2.3-cm. For shipment, 15 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 216.2. cm and 218.9-cm. P(216.2-cm < M 218.9-cm) - Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Submit Question 4