THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 67

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The number of hours spent studying by students on Michigan State campus in the week before final exams follows a normal distribution with standard deviation 9.5 hours.A random sample of these students is taken to estimate the population mean number of hours studying.
-How large a sample is needed to ensure that the probability that the sample mean differs from the population mean by more than 2.1 hours is less than 0.05?

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Definitions:

Body Temperature

The measure of the body's warmth or heat, usually indicating the state of metabolic processes.

Fahrenheit

A scale of temperature on which water freezes at 32 degrees and boils at 212 degrees under standard conditions.

Sterilizing (Autoclave)

A process using an autoclave to apply high-pressure steam at high temperatures to sterilize equipment, effectively killing all microorganisms.

Fahrenheit

A temperature measurement system where water's freezing point is at 32 degrees and its boiling point is at 212 degrees, given standard atmospheric conditions.