Government regulations dictate that for any production process involving a certain toxic chemical, the water in the output of the process must not exceed 7820 parts per million (ppm) of the chemical. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7856 ppm. It is known from historical data that the standard deviation is 60 ppm. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem. The probability is (Round to four decimal places as needed.) (b) is an observed x = 7856 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X≥ 7856 | μ=7820). Assume that the distribution of the concentration is normal. Since P(X≥ 7856 | μ = 7820) = evidence that the population mean for the process exceeds the government limit. (Round to four decimal places as needed.) negligible, the observed x

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

solve the following

Government regulations dictate that for any production process involving a certain toxic chemical, the water in the output of the process must not exceed 7820 parts per million (ppm) of the chemical. For a particular process of concern, the water sample was
collected by a manufacturer 25 times randomly and the sample average x was 7856 ppm. It is known from historical data that the standard deviation o is 60 ppm. Complete parts (a) and (b) below.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(...)
(a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem.
The probability is
(Round to four decimal places as needed.)
(b) Is an observed x = 7856 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X≥ 7856 | µ = 7820). Assume that the distribution of the concentration is normal.
Since P (X≥ 7856 | μ = 7820) =
evidence that the population mean for the process exceeds the government limit.
(Round to four decimal places as needed.)
negligible, the observed x
Transcribed Image Text:Government regulations dictate that for any production process involving a certain toxic chemical, the water in the output of the process must not exceed 7820 parts per million (ppm) of the chemical. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7856 ppm. It is known from historical data that the standard deviation o is 60 ppm. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (...) (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem. The probability is (Round to four decimal places as needed.) (b) Is an observed x = 7856 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X≥ 7856 | µ = 7820). Assume that the distribution of the concentration is normal. Since P (X≥ 7856 | μ = 7820) = evidence that the population mean for the process exceeds the government limit. (Round to four decimal places as needed.) negligible, the observed x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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