Answered: advertise that they will offer you 100…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A company sells pumpkin seeds. They advertise that they will offer you 100 pounds of free topsoil if it takes their pumpkins more than a certain number of days to grow to maturity. They wish to only have to give away free topsoil AT MOST 2% of the time, and the number of days it takes their seeds to grow to maturity follows a normal distribution with a mean of 106 days and a standard deviation of 5 days. They wish to advertise a number in whole days. What number of days will they advertise?HINT: You must round up to ensure that the company requirement that free topsoil is given away no more than 2% of the time is met.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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