Your company manufactures control systems and customized special kits for educational purposes. These kits have been tested and the results show that 92% are within an acceptable tolerance. The remainder were rejected and need to be reproduced. If a random sample of 15 kits is tested, answer the following: A) What is the probability that 8 of the sample boards are out of tolerance? B) What is the probability that at least 4 of the sample boards are within the acceptable tolerance? C) What is the probability that the sample between 7 and 14 boards is out of tolerance?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
sample of 37 kits and testing their resistivity. It is found that the mean resistivity of the sample kits is 225.6
Ohms, with a standard deviation of SD = 3.5 Ohms. Using a level of significance of 0.05 and 0.1:
G) determine whether there is enough evidence to support that the production manager's claim is
reasonable.
H) What can you conclude from the conducted hypothesis test?
Transcribed Image Text:sample of 37 kits and testing their resistivity. It is found that the mean resistivity of the sample kits is 225.6 Ohms, with a standard deviation of SD = 3.5 Ohms. Using a level of significance of 0.05 and 0.1: G) determine whether there is enough evidence to support that the production manager's claim is reasonable. H) What can you conclude from the conducted hypothesis test?
Activity 4:
Your company manufactures control systems and customized special kits for educational purposes. These kits
have been tested and the results show that 92% are within an acceptable tolerance. The remainder were rejected
and need to be reproduced. If a random sample of 15 kits is tested, answer the following:
A) What is the probability that 8 of the sample boards are out of tolerance?
B) What is the probability that at least 4 of the sample boards are within the acceptable tolerance?
C) What is the probability that the sample between 7 and 14 boards is out of tolerance?
The company produces 100 kits daily and each kit has a mean output voltage of 12.5 volts and a standard
deviation of 2.2 volts. If the voltages of all kits produced daily are assumed to be normally distributed, determine
the following:
D) The probability that a randomly selected kit produces a voltage greater than 10 volts.
E) The probability that a randomly selected kit produces a voltage less than 6.2 volts.
F) The probability that a randomly selected kit produces a voltage between 7.4 volts and 14.5 volts.
(Hint, use the z-table provided to you by your instructor)
The resistivity of the produced kits is also tested. The mean resistivity is 230 Ohm. The production manager
suspects that the production line is producing too many out-of-tolerance components and should be stopped
and serviced. The quality assurance department in the company decided to make a study by taking a random
Transcribed Image Text:Activity 4: Your company manufactures control systems and customized special kits for educational purposes. These kits have been tested and the results show that 92% are within an acceptable tolerance. The remainder were rejected and need to be reproduced. If a random sample of 15 kits is tested, answer the following: A) What is the probability that 8 of the sample boards are out of tolerance? B) What is the probability that at least 4 of the sample boards are within the acceptable tolerance? C) What is the probability that the sample between 7 and 14 boards is out of tolerance? The company produces 100 kits daily and each kit has a mean output voltage of 12.5 volts and a standard deviation of 2.2 volts. If the voltages of all kits produced daily are assumed to be normally distributed, determine the following: D) The probability that a randomly selected kit produces a voltage greater than 10 volts. E) The probability that a randomly selected kit produces a voltage less than 6.2 volts. F) The probability that a randomly selected kit produces a voltage between 7.4 volts and 14.5 volts. (Hint, use the z-table provided to you by your instructor) The resistivity of the produced kits is also tested. The mean resistivity is 230 Ohm. The production manager suspects that the production line is producing too many out-of-tolerance components and should be stopped and serviced. The quality assurance department in the company decided to make a study by taking a random
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON