Question

MATH225 Statistical Reasoning for the Health Sciences

Week 5 Assignment Central Limit Theorem for Means

Question The Washington Wheat Farmers Club is studying the
impact of rising grain prices on their members’ planting habits.
The club members produce an average of 150 million bushels of wheat
per year, with a standard deviation of 18 million bushels. The club
takes a random sample of 35 years to create a statistical study.
Identify each of the following, rounding to the nearest hundredth
when necessary:

$mu=$μ= $

$sigma=$σ= $

$n=$n= $

$mu_{overline{x}}=$μx= $

$sigma_{overline{x}}=$σx= $

Question The owners of a baseball team are building a new
baseball field for their team and must determine the number of
seats to include. The average game is attended by 6,500 fans,
with a standard deviation of 450 people. Suppose a random sample of
10 games is selected to help the owners decide the number of seats
to include. Identify each of the following and be sure to round to
the nearest whole number:

$mu=$μ= $

$sigma=$σ= $

$n=$n= $

$mu_{overline{x}}=$μx= $

$sigma_{overline{x}}=$σx= $

Question A bank is reviewing its risk management policies
with regards to mortgages. To minimize the risk of lending, the
bank wants to compare the typical mortgage owed by their clients
against other homebuyers. The average mortgage owed by Americans is
$306,500, with a standard deviation of $24,500. Suppose a random
sample of 150 Americans is selected.

Identify each of the following, rounding your answers to the
nearest cent when appropriate:

$mu=$$μ=$

$sigma=$$σ=$

$n=$n= $

$mu_{overline{x}}=$$μx=$

$sigma_{overline{x}}=$$σx=$

Question A well known social media company is looking to
expand their online presence by creating another platform. They
know that they current average 2,500,000 users each day, with a
standard deviation of 625,000 users. If they randomly sample 50
days to analyze the use of their existing technology, identify each
of the following, rounding to the nearest whole number if
necessary:

$mu=$μ=

$sigma=$σ=

$n=$n=

$mu_{overline{x}}=$μx=

$sigma_{overline{x}}=$σx=

Question Major league baseball recruiters are analyzing
college players as potential draft choices. In a survey of college
baseball players, the recruiters found that they hit an average
of 13 home runs per season, with a standard deviation of
5. Suppose a random sample of 45 baseball players is
selected. Identify each of the following and remember to round to
the nearest whole number:

$mu=$μ=

$sigma=$σ=

$n=$n=

$mu_{overline{x}}=$μx=

$sigma_{overline{x}}=$σx=

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