Q1. Suppose that the average weekly earnings for employees in general automotive repair shops is $470, and that the standard deviation for the weekly earnings for such employees is $60. A sample of 100 such employees is selected at random. The mean and standard deviation of the sampling distribution of the average weekly earnings in the sample are 470 and 6, respectively. Find the probability that the mean of the sample is greater than $480.

Q2. You have been assigned to determine whether more people prefer Coke to Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample would you need to take to ensure that you could estimate, with 90% confidence, the proportion of people preferring Coke within 5% of the actual value?

Explain why function is discontinuous at given values of t : ENERGY CONSUMPTION The following graph shows the amount of home heating oil remaining in a 200-gal tank over a 120-day period (t = 0 corresponds to October 1). |

The universal declaration of human rights : Explain how the Universal Declaration of Human Rights (UDHR) is relevant to human services professionals in your area of interest. |

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Purchase some new office furniture and equipment : A mid-sized business will purchase some new office furniture and equipment. |

How large a sample would you need to take : How large a sample would you need to take to ensure that you could estimate, with 90% confidence, the proportion of people preferring Coke |

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How many units must be sold each month : How many units must be sold each month? To how many sales dollars is this unit volume equivalent? Which costs would be considered mixed? |

Explain the significance of the discontinuities of function : AILING FINANCIAL INSTITUTIONS Franklin Savings and Loan acquired two ailing financial institutions in 2009. One of them was acquired at time t = T1. |

Option pricing-replicating portfolio : What is the appropriate price of the 1 year call option of XYZ corp with a strike price of $110 using replicating portfolio approach? |

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