fashion designer wants to know how many new dresses women buy each year.  A sample of 502 women was taken to study their purchasing habits.  Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 9.3.  Assume that the population standard deviation is 1.5.  HINT!  Think about how many answers you find for a confidence interval.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For each scenario below, decide if you would draw a normal curve with area in (1) the LEFT tail, (2) the RIGHT tail, or (3) TWO tails.

 

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A fashion designer wants to know how many new dresses women buy each year.  A sample of 502 women was taken to study their purchasing habits.  Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 9.3.  Assume that the population standard deviation is 1.5. 

HINT!  Think about how many answers you find for a confidence interval.

 

Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0, o= 15.  A random sample of 35 people is taken.  What is the probability of a random person on the street having an IQ score of at least 95?

 

The mean number of words per minute (WPM) read by sixth graders is 86 with a standard deviation of 15.  If 44 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 3 WPM?

 

The mean life of a television set is 10.1 years with a standard deviation of 1.3 years.  If a sample of 95 televisions is randomly selected, what is the probability that the sample mean would be less than 9.9 years?

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