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A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk within which of the following ranges 

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10 Feb 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

You are studying a small population's proficiency in an endangered language (a language that is at risk of being lost permanently). You have administered a language proficiency test on all those who speak this endangered language and found that their test scores are normally distributed with a mean of 59 points (out of 100 points) and a standard deviation of 4.8 points.
 
Within what range of points will 68% of the population score? (The the mean needs to be in the middle of your range)
The lower boundary of the range (in points) is:
The upper boundary of the range (in points) is:

You are studying a small population's proficiency in an endangered language (a language that is at risk of being lost permanently). You have administered a language proficiency test on all those who speak this endangered language and found that their test scores are normally distributed with a mean of 59 points (out of 100 points) and a standard deviation of 4.8 points.
 
Within what range of points will 95% of the population score? (The the mean needs to be in the middle of your range)
The lower boundary of the range (in points) is:
The upper boundary of the range (in points) is:

Module 4 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question. 


Values of z larger than 2.33.

Between z = −1.50 and z = 1.18. 

Values of z less than 1.19. 

A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following produce a normal distribution plot showing the appropriate shaded area.

What percentage of students scored lower than 70 on this exam? 

What percentage of students scored between 81 and 89? 

What percentage of students scored higher than 90 on this exam? 

What is the 80th percentile of scores? 

What is the 95th percentile of scores?

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