Prob-6When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and astandard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and themean output is found to be x=875 tons/day. The manager claims that at least 95% probability that the plant is operating properly. Is he right?Justify your answer!Sol:

From the above given data the following solution is provided below

Answered: When it is operating properly, a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is 1.3 and the standard deviation is 1.5. Let x denote the mean number of siblings for a random sample of size 32. Determine whether the distribution of x is normal or approximately normal and find its mean and standard deviation.
Assume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
Assume that ﬁnal exam scores in a given course are approximately normally distributed with a mean of 75 and a standard deviation of 10 points. In a class of 200 students, how many would you expect to fail the exam (i.e., score less than 60) (note: scores can only be approximately normally distributed, because the minimum score is 0, but this should not alter the answer, given how large the mean is relative to the standard deviation).
Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 19.1. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph. The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
pls. answer using 7 steps:-Parameter of interest-Null hypothesisAlternative hypothesis -Test statistic -Reject H0 if: -Computations: -Conclusion
Assume that adults have IQ scores that are normally distributed with a mean of 99.1 and a standard deviation 17.6. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is. (Type an integer or decimal rounded to one decimal place as needed.)
Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean-8 Standard deviation-1.5 n-45 Range: 6.5 to 9.5 In this case, we expect about 52 data values to fall between 6.5 and 9.5.
W 1. X A tablet computer manufacturer claims that its batteries last an average of 10.5 hours when playing videos. The quality control department randomly selects 20 tablets from each day's production and tests the batteries by playing a video repeatedly until the battery dies. The quality control department will reject the batteries from that day's production run if the mean battery life is less than 10.5 hours. Here are the data from one day: 10.3 10.0 10.3 10.6 10.5 10.3 10.1 10.6 11.5 10.3 10.3 12.7 10.6 11.3 13.9 12.5 12.4 10.8 10.2 12.2 The quality control department will test the hypotheses where p true mean battery life (in hours) while playing videos for tablets made during that day. Check that the conditions for performing the test are met. Assume the population is normally distributed. 3 e d C Ho:μ = 50 Ha:μl < 50 $ 4 f 25 % V t 6 (6 b Y h ∞ 7 u n * 00 8 ¡ m ( 9 k O Sign out 1 р Mar 29 7
Assume that adults have IQ scores that are normally distributed with a mean of 97.2 and a standard deviation 21.8. Find the first quartile Q₁, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is. (Type an integer or decimal rounded to one decimal place as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 100.4 and a standard deviation 23.2. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is: (Type an integer or decimal rounded to one decimal place as needed.)
Answer d.

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