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09.11.2019 •
Mathematics
After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. typical grocery-store hams are smoked for a short period of time, whereas gourmet hams are usually smoked for at least one month. a random sample of 36 grocery-store hams was obtained, and the length of the smoking time was recorded for each. the mean was
hours. assume σ = 8 hours.
a) what assumptions are required so that you can construct a confidence interval?
b) find a 99% confidence interval for the for the mean amount of time a grocery-store
ham is smoked.
c) interpret your answer in part b).
d) the precision required for someone in the deli who cooks the grocery store hams is a
margin of error (half-width) of 2 hours. how large a sample is necessary for this precision?
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Ответ:
107
Step-by-step explanation:
Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.
Let X be the smoking time . Then X is N(mu, 8)
a) The sample is drawn at random
b) The sample represents the population
c) Sample size is sufficient to represent the population
b)For 99% conf interval z critical is taken since population std dev is given
Z critical = 2.58
Hence confi interval =![(\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)](/tpl/images/0366/7403/0d334.png)
c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval
d) If margin of error is only 2, then we must have
Ответ:
Hello : let A(-3,7) B(3,3)
the slope is : (YB - YA)/(XB -XA)
(3-7)/(3+3) = -2/3
an equation is : y=ax+b a is a slope
y = (-2/3)x +b
the line through point B (3,3) : 3 = (-2/3)(3)+b
b =5
the equation is : y =(-2/3)x+5