The recent schools question and answer asked over students to mention what they presume is the most important important point for a student to do to be able to get success. Of many answers, the one that that stood out was practice. Successful people are definitely not born successful; they become successful by hard work and commitment. If you want to achieve your goals, keep this in mind! followed below some question and answer examples that you can certainly work with to further enhance your knowledge and gain insight that will help you to maintain your school studies.
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn with mean weight 1.26 pounds. The standard deviation of the weights of the ears of corn from the farm in Ohio is 0.01 pound greater than that from the farm in Iowa. A randomly selected ear of corn from the farm in Iowa weighed 1.39 pounds, which has a standardized score of 1.645 for the distribution of weights for the Iowa corn. If an ear of corn from the farm in Ohio weighs 1.39 pounds, how many standard deviations from the mean is the weight with respect to the Ohio distribution
Using the normal distribution, it is found that the weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
For the Iowa farm:
- The mean is of 1.26 pounds, hence .
- The weight is of 1.39 pounds, hence
- The standardized score is of 1.645, hence .
Then, the standard deviation can be found as follows:
- Same mean.
- Standard deviation 0.01 pound greater, hence
- Same weight.
The weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
They can easily hopefully assist the student answer the question by obtaining the questions and answer examples. You might possibly then have a discussion with your classmate and continue the school learning by studying the question alongside one another.