Question

In: Statistics and Probability

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.

If 44 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 3.4 watts? 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 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.
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.
To determine if their 2.33 centimeter castings are properly adjusted, Thompson & Thompson Manufacturing has decided...
To determine if their 2.33 centimeter castings are properly adjusted, Thompson & Thompson Manufacturing has decided to use an x‾ Chart which uses the range to estimate the variability in the sample. What is the Lower Control Limit? Round your answer to three decimal places.
Thompson Company is considering the development of two products: no. 65 or no. 66. Manufacturing cost...
Thompson Company is considering the development of two products: no. 65 or no. 66. Manufacturing cost information follows. No. 65 No. 66 Annual fixed costs $222,000 $340,000 Variable cost per unit 30 25 Regardless of which product is introduced, the anticipated selling price will be $50 and the company will pay a 10% sales commission on gross dollar sales. Thompson will not carry an inventory of these items. 1) Difference between breakeven volume (stated as revenue deollars) for the two...
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.
The Thompson Corporation, a manufacturer of steel products, began operations on October 1, 2019. The accounting...
The Thompson Corporation, a manufacturer of steel products, began operations on October 1, 2019. The accounting department of Thompson has started the fixed-asset and depreciation schedule presented below. You have been asked to assist in completing this schedule. In addition to ascertaining that the data already on the schedule are correct, you have obtained the following information from the company's records and personnel: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD...
The Thompson Corporation, a manufacturer of steel products, began operations on October 1, 2019. The accounting...
The Thompson Corporation, a manufacturer of steel products, began operations on October 1, 2019. The accounting department of Thompson has started the fixed-asset and depreciation schedule presented below. You have been asked to assist in completing this schedule. In addition to ascertaining that the data already on the schedule are correct, you have obtained the following information from the company's records and personnel: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT