Question

In: Statistics and Probability

Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can...

Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
(a) In a random sample of 167 shafts, find the approximate probability that between 30 and 54 (inclusive) are nonconforming and can be reworked.
(b) In a random sample of 167 shafts, find the approximate probability that at least 48 are nonconforming and can be reworked.

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(1.64, TRUE)" & "=NORM.S.DIST(-2.72, TRUE)" to find the probability.

--------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(0.42, TRUE)" to find the probability.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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...
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 0.218 inches. The diameter is known to have a standard deviation of = 0.0003 inch. A random sample of 40 shafts has an average diameter of 0.2455 inches. a/ Test these hypotheses using α= 0.02, α= 0.05, and α= 0.09 b/ Comparing the data above. Does the results of your hypothesis testing change when you changed α? Explain. Please show your work and...
Performance of a process to turn steel shafts is being evaluated. The shafts are identified as...
Performance of a process to turn steel shafts is being evaluated. The shafts are identified as either pass or fail the inspection. A sample of 10 shafts will be inspected and the probability that any single shaft is identified as bad and fail is P=0.2. What is the probability that at least 2 shafts are considered bad?
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25...
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a mean diameter of 206 inches. If 90 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9...
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean diameter of 207 inches. If 72 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 206.7inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.8 and a mean diameter of 210 inches. If 84 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be greater than 209.7 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.3 1.3 and a mean diameter of 202 202 inches. If 70 70 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 0.1 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.3 and a mean diameter of 208 inches. If 60 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be greater than 208.1 inches? Round your answer to four decimal places. PLEASE DO NOT ANSWER UNLESS YOU ARE CONFIDENT YOUR ANSWER IS CORRECT.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT