Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample of 127 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.21 and 0.39? Note: You should carefully round any z-values you calculate to 4 de

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample of 127 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.21 and 0.39?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer = _________ (Enter your answer as a number accurate to 4 decimal places.)

 

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:y=a+bx b=-1.376 a=26.924 r2=0.855625 r=-0.925 Use this to predict the number of situps a person who watches 1 hours of TV can do.

__________ Round to one decimal place.

 

You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 40 bacteria reveals a sample mean of ¯x=66x¯=66 hours with a standard deviation of s=4.8s=4.8  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 98% level of confidence.

What sample size should you gather to achieve a 0.5 hour margin of error? Round your answer up to the nearest whole number. For the purpose of this calcuation, use the sample standard deviation as an estiamte of the population standard deviation.

n = ________  bacteria

 

Write an equation in the form y=mx+by=mx+b for the following table:

x y
-10 -49
-8 -37
-6 -25
-4 -13
-2 -1
0 11
2 23
4 35



y= _______

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