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

question 15

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,for a given month,what is the probability that John's income as a waiter is at least $1,400?

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Definitions:

Test Statistic

A value calculated from sample data used to determine whether to reject the null hypothesis in a statistical hypothesis test.

P-Value

The potential of observing test results that are at least as extreme as the actual ones, under the belief that the null hypothesis is accurate.

Test Statistic

A calculated value used in statistical hypothesis testing that helps decide whether to reject the null hypothesis.

P-Value

A statistical measure that helps determine the significance of results, indicating how likely it is that findings could have occurred under the null hypothesis.