07 Jan Question Major league baseball

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:

$\mu=$?= $

$\sigma=$?= $

$n=$n= $

$\mu_{\overline{x}}=$?x= $

$\sigma_{\overline{x}}=$?x= $

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:

$\mu=$?= $

$\sigma=$?= $

$n=$n= $

$\mu_{\overline{x}}=$?x= $

$\sigma_{\overline{x}}=$?x= $

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:

$\mu=\$$?=$

$\sigma=\$$?=$

$n=$n= $

$\mu_{\overline{x}}=\$$?x=$

$\sigma_{\overline{x}}=\$$?x=$

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:

$\mu=$?=

$\sigma=$?=

$n=$n=

$\mu_{\overline{x}}=$?x=

$\sigma_{\overline{x}}=$?x=

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:

$\mu=$?=

$\sigma=$?=

$n=$n=

$\mu_{\overline{x}}=$?x=

$\sigma_{\overline{x}}=$?x=