A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144.8-cm and a standard deviation of 0.5-cm. For shipment, 20 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 145-cm.

Aline has a slope of and a y-intercept of –2. what is the x-intercept of the line?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.