Instruction 6-4 John Has Two Jobs.For Daytime Work at a Jewelry Store

question 156

Short Answer

Instruction 6-4
John has two jobs.For daytime work at a jewelry store he is paid $15,000 per month,plus a commission.His monthly commission is normally distributed with mean $10,000 and standard deviation $2,000.At night he works as a waiter,for which his monthly income is normally distributed with mean $1,000 and standard deviation $300.John's income levels from these two sources are independent of each other.
-Referring to Instruction 6-4,John's commission from the jewelry store will be between what two values symmetrically distributed around the population mean 90% of the time?

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Definitions:

Statistical Software

Computer programs designed to assist with the organization, analysis, and visualization of data for statistical purposes.

Hypothesis Test

A statistical method that uses sample data to evaluate a hypothesis about the properties or parameters of a population.

Interval Estimate

An estimate of a population parameter that specifies a range of possible values within which the parameter is expected to lie, with a certain level of confidence.

Unknown Parameter

A value within a statistical model that is not observed directly but is estimated from the data.