Question

In: Math

Steel rods are manufactured with a mean length of 24 centimeter​ (cm). Because of variability in...

Steel rods are manufactured with a mean length of 24 centimeter​ (cm). Because of variability in the manufacturing​ process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Complete parts ​(a) to ​(d). ​(a) What proportion of rods has a length less than 23.9 ​cm? 0.0764 ​(Round to four decimal places as​ needed.) ​(b) Any rods that are shorter than 23.84 cm or longer than 24.16 cm are discarded. What proportion of rods will be​ discarded? nothing ​(Round to four decimal places as​ needed.)

Solutions

Expert Solution


Related Solutions

Steel rods are manufactured with a mean length of 2828 centimeter​ (cm). Because of variability in...
Steel rods are manufactured with a mean length of 2828 centimeter​ (cm). Because of variability in the manufacturing​ process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.09cm. .​(a) What proportion of rods has a length less than 27.9​cm? ​(Round to four decimal places as​ needed.) ​(b) Any rods that are shorter than 27.78 cm or longer than 28.22 cm are discarded. What proportion of rods will be​ discarded? ​(Round to four decimal places...
Steel rods are manufactured with a mean length of 26 centimeter​ (cm). Because of variability in...
Steel rods are manufactured with a mean length of 26 centimeter​ (cm). Because of variability in the manufacturing​ process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.09cm. Complete parts ​(a) to​(d). ​(a) What proportion of rods has a length less than 25.9 ​cm? ​(b) Any rods that are shorter than 25.82 cm or longer than 26.18cm are discarded. What proportion of rods will be​ discarded? ​(c) Using the results of part (b)​if 5000rods...
18, Steel rods are manufactured with a mean length of 26 centimeter​ (cm). Because of variability...
18, Steel rods are manufactured with a mean length of 26 centimeter​ (cm). Because of variability in the manufacturing​ process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Complete parts ​(a) to ​(d). ​(a) What proportion of rods has a length less than 25..9 ​cm? nothing ​(Round to four decimal places as​ needed.) ​(b) Any rods that are shorter than 25.87 cm or longer than 26.13 cm are discarded. What proportion of...
A manufacturer makes steel rods that are supposed to have a mean length of 50 cm....
A manufacturer makes steel rods that are supposed to have a mean length of 50 cm. A retailer suspects that the bars are running short. A sample of 40 bars is taken and their mean length is determined to be 49.4 cm with a standard deviation of 3.6 cm. Test the retailer’s claim that the mean length is less than 50 cm. Use a one percent level of significance. 1. What test should be used for this problem? 2. What...
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 151 millimeters, and a variance of 64. If 116 rods are sampled at random from the batch, what is the probability that the length of the sample rods would differ from the population mean by more than 0.81 millimeters? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 151 millimeters, and a variance of 64. If 116 rods are sampled at random from the batch, what is the probability that the length of the sample rods would differ from the population mean by more than 0.81 millimeters? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 194 millimeters, and a variance of 121. If 339 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would be greater than 194.95 millimeters? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 194 millimeters, and a variance of 121 . If 339 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.95 millimeters? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 198198 millimeters, and a variance of 100100. If 228228 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would be greater than 197.12197.12 millimeters? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of...
Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a standard deviation of 12 millimeters. If 76 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would be less than 177.44 millimeters? Round your answer to four decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT