Question

In: Statistics and Probability

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 138 millimeters, and a standard deviation of 5 millimeters. If a random sample of 41 steel bolts is selected, what is the probability that the sample mean would be greater than 137.3 millimeters? Round your answer to four decimal places.

Solutions

Expert Solution



Related Solutions

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a variance of 64. If a random sample of 41 steel bolts is selected, what is the probability that the sample mean would be greater than 140.3 millimeters? Round your answer to four decimal places.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 148 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would be less than 147.7 millimeters? Round your answer to four decimal places.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 143 millimeters, and a standard deviation of 5. If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimeters? Round your answer to four decimal places
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64 If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would be greater than 133 millimeters? Round your answer to four decimal places.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 130 millimeters, and a standard deviation of 6 millimeters. If a random sample of 33 steel bolts is selected, what is the probability that the sample mean would be greater than 130.6 millimeters? Round your answer to four decimal places.
4. Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a...
4. Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters, and a variance of 49. If a random sample of 41 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 2.2 millimeters? Round your answer to four decimal places. 5. The mean output of a certain type of amplifier is 110 watts with a variance of 100....
Company A packages bolts in boxes that are normally distributed with a mean of 312 bolts...
Company A packages bolts in boxes that are normally distributed with a mean of 312 bolts and a standard deviation of 4.1 bolts. Company B packages bolts in boxes that are normally distributed with a mean of 288 bolts and a standard deviation of 3.9 bolts. Which company is more likely to produce a box of exactly 300 bolts? Explain your answer using z-scores.
In a manufacturing process a random sample of 36 bolts manufactured has a mean length of...
In a manufacturing process a random sample of 36 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 99% confidence interval for the true mean length of the bolt?
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of 0.0001 inch. A random sample of 10 shafts was performed and the average diameter was 0.2545 inch. a. Set up appropriate hypotheses on the mean b. Test these hypotheses using α = 0.05 and α = 0.1. What are your conclusions? c. Find the P-value for this test. d. Construct a...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 5.5 inches. The diameter is known to have a standard deviation of 0.9 inches. A random sample of 30 shafts. (a) Find a 90% confidence interval for the mean diameter to process. (b) Find a 99% confidence interval for the mean diameter to process. (c) How does the increasing and decreasing of the significance level affect the confidence interval? Why? Please explain and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT